Jerome Goldstein

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Jerome Goldstein is affiliated with the following schools: University of California, Berkeley, University of Memphis, Princeton University, Carnegie Mellon University, Tulane University

Jerome Goldstein's AcademicInfluence.com Rankings

Jerome Goldstein

Mathematics

#4265

World Rank

#6095

Historical Rank

#1486

USA Rank

Measure Theory

#1367

World Rank

#1717

Historical Rank

#476

USA Rank

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Mathematics

Jerome Goldstein's Degrees

PhD Mathematics Princeton University

Why Is Jerome Goldstein Influential?

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According to Wikipedia, Jerome Arthur Goldstein is an American mathematician whose main interests are partial differential equations, operator theory, stochastic analysis, fluid dynamics, quantum theory, and mathematical finance.

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Jerome Goldstein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Semigroups of Linear Operators and Applications (1985) (1652)
THE HEAT EQUATION WITH A SINGULAR POTENTIAL (1984) (333)
The heat equation with generalized Wentzell boundary condition (2002) (196)
Almost automorphic solutions of semilinear evolution equations (2004) (124)
Fractional telegraph equations (2002) (106)
Abstract evolution equations (1969) (104)
Some Nonlinear Wave Equations with Acoustic Boundary Conditions (2000) (92)
Partial Differential Equations and Related Topics (1975) (89)
On the operator equation $AX+XB=Q$ (1978) (87)
Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions (1985) (87)
Oscillatory boundary conditions for acoustic wave equations (2003) (76)
On a Degenerate Heat Equation with a Singular Potential (2001) (75)
Methods of Mathematical Physics, V. I: Functional Analysis. (1973) (72)
Linear parabolic equations with strong singular potentials (2002) (59)
An asymptotic property of solutions of wave equations. II (1969) (56)
On the Benjamin-Bona-Mahony equation in higher dimensions (1980) (55)
Semigroups and second-order differential equations (1969) (51)
semigroups generated by second order differential operators with general Wentzell boundary conditions (2000) (49)
Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem (2010) (49)
Remarks on the Inverse Square Potential in Quantum Mechanics (1984) (48)
On Löwdin orthogonalization (1980) (46)
Unitary approximation of positive operators (1980) (46)
The heat equation with nonlinear general Wentzell boundary condition (2006) (44)
GENERATORS WITH INTERIOR DEGENERACY ON SPACES OF L 2 TYPE (2012) (38)
The Role of Wentzell Boundary Conditions in Linear and NonlinearAnalysis (2008) (38)
Chaotic solution for the Black-Scholes equation (2012) (35)
Degenerate Second Order Differential Operators Generating Analytic Semigroups inLp andW1,p (2002) (35)
Continuous dependence on the boundary conditions for the Wentzell Laplacian (2008) (35)
Approximation of nonlinear semigroups and evolution equations (1972) (35)
Linear algebra and quantum chemistry (1991) (34)
Time dependent hyperbolic equations (1969) (34)
Weighted Hardy's inequality and the Kolmogorov equation perturbed by an inverse-square potential (2012) (33)
Stability of Parabolic Problems with nonlinear Wentzell boundary conditions (2009) (33)
The mathematics of suspensions: Kac walks and asymptotic analyticity. (1999) (32)
Convergence rates of ergodic limits for semigroups and cosine functions (1978) (29)
Outgrowths of Hardy's Inequality (2006) (28)
Singular nonlinear parabolic boundary value problems in one space dimension (1987) (27)
Semigroups of operators and abstract cauchy problems (1970) (26)
Continuous dependence in hyperbolic problems with Wentzell boundary conditions (2013) (26)
On the convergence and approximation of cosine functions (1973) (26)
The non-autonomous wave equation with general Wentzell boundary conditions (2005) (25)
A unified approach to weighted Hardy type inequalities on Carnot groups (2016) (25)
Stability estimates for parabolic problems with Wentzell boundary conditions (2008) (25)
Abstract wave equations and associated Dirac-type operators (2010) (23)
Semigroup-theoretic proofs of the central limit theorem and other theorems of analysis (1976) (23)
Nonlinear degenerate prabolic equations with singular lower-order term (2003) (22)
Nonlinear parabolic equations with singular coefficient and critical exponent (2005) (22)
Some remarks on infinitesimal generators of analytic semigroups (1969) (21)
Highly degenerate parabolic boundary value problems (1989) (21)
Review: W. Arendt, A. Grabosch, G. Greiner, U. Groh, H. P. Lotz, U. Moustakas, R. Nagel, F. Neubrander, and U. Schlotterbeck, One-parameter semigroups of positive operators (1987) (20)
Dissipative operator versions of some classical inequalities (1975) (20)
CONVEXITY, BOUNDEDNESS,ANDALMOST PERIODICITY FOR DIFFERENTIAL EQUATIONS IN HILBERTSPACE (1979) (19)
The One Dimensional Wave Equation with Wentzell Boundary Conditions (2001) (19)
An abstract d'Alembert formula (1987) (19)
The energy space and norm growth for abstract wave equations (2003) (18)
Groups of isometries on Orlicz spaces. (1973) (18)
On some nonlinear dispersive equations in several space variables (1990) (18)
Almost Periodic Solutions of Evolution Equations (1989) (17)
Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions (2013) (17)
A NEW EXPLICIT FORMULA FOR THE SOLUTION OF THE BLACK-MERTON-SCHOLES EQUATION (2008) (17)
ASYMPTOTIC EQUIPARTITION OF ENERGY FOR DIFFERENTIAL EQUATIONS IN HILBERT SPACE (1976) (16)
Second Order Itô Processes (1969) (16)
Asymptotics for Bounded Semigroups on Hilbert Space (1986) (15)
The Laplacian with Generalized Wentzell Boundary Conditions (2003) (15)
Generalized Wentzell Boundary Conditions and Analytic Semigroups in C [0, 1] (2003) (15)
Classification of general Wentzell boundary conditions for fourth order operators in one space dimension (2007) (15)
Semigroups of linear operators on p-Fréchet spaces, 0 < p < 1 (2007) (15)
Abstract Equipartition of Energy Theorems (1979) (13)
Evolution equations with real time variable and complex spatial variables (2008) (13)
Kolmogorov equations perturbed by an inverse-square potential (2010) (12)
Regularized semigroups, iterated Cauchy problems and equipartition of energy (1993) (12)
AnLp Semigroup Approach to Degenerate Parabolic Boundary Value Problems (1991) (12)
Semilinear Hille-Yosida theory: the approximation theorem and groups of operators (1989) (12)
A heat equation in which the diffusion coefficient changes sign (1984) (12)
Thomas–Fermi theory with an external magnetic field (1991) (11)
On a connection between first and second order differential equations in banach spaces (1970) (11)
The nearest self‐adjoint operator (1980) (11)
A Lie product formula for one parameter groups of isometries on Banach spaces (1970) (11)
Energy decay and partition for dissipative wave equations (1980) (11)
Well-posedness of nonlinear parabolic problems with nonlinear Wentzell boundary conditions (2011) (10)
Nonlinear boundary conditions for nonlinear second order differential operators on C[0,1] (2001) (10)
Extremal Properties of Contraction Semigroups on Hilbert and Banach Spaces (1993) (10)
Fourth Order Operators With General Wentzell Boundary Conditions (2008) (10)
General Wentzell boundary conditions, differential operators and analytic semigroups in C[0, 1] - doi: 10.5269/bspm.v20i1-2.7525 (2009) (10)
Evolution Equations With A Complex Spatial Variable (2014) (10)
Bound states and scattered states for contraction semigroups (1985) (10)
A nonlinear elliptic system arising in electron density theory (1992) (9)
An Inner-Magnetospheric Electron Density Database Determined from IMAGE/RPI Passive Dynamic Spectra (2007) (9)
Almost Periodicity of Bounded Solutions to Nonlinear Abstract Equations (1984) (9)
RENORMALIZED SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH GENERAL MEASURE DATA (2018) (9)
On the absence of necessary conditions for linear evolution operators (1977) (9)
Dissipative operators and series inequalities (1981) (9)
ANALYTIC SEMIGROUPS ON Lp w(0; 1) AND ON Lp(0; 1) GENERATED BY SOME CLASSES OF SECOND ORDER DIFFERENTIAL OPERATORS (1999) (9)
Equipartition of energy for higher order abstract hyperbolic equations (1982) (9)
One parameter groups of isometries on certain Banach spaces. (1976) (9)
On the overdamping phenomenon: A general result and applications (2012) (9)
The Best Generalized Inverse (2000) (8)
Positivity, Trotter Products, and Blow-up (2004) (8)
Existence and nonexistence of positive solutions of p-Kolmogorov equations perturbed by a Hardy potential (2016) (8)
Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary (2019) (8)
Fractional Opial Type Inequalities and Fractional Differential Equations (2002) (8)
Wiener's theorem and semigroups of operators (1984) (8)
An existence theorem for linear stochastic differential equations (1967) (8)
Weighted Landau inequalities (1983) (8)
Higher order Ostrowski type inequalities over Euclidean domains (2008) (8)
The Fermi-Amaldi Correction in Spin Polarized Thomas-Fermi Theory (1992) (8)
A rigorous modified Thomas-Fermi theory for atomic systems (1987) (8)
Corrigendum on Almost automorphic solutions of semilinear evolution equations (2012) (8)
Nonlinear semigroups and nonlinear partial differential equations (1975) (7)
Equipartition of energy for higher-order hyperbolic equations. (1981) (7)
Overdamping and energy decay for abstract wave equations with strong damping (2014) (7)
Uniqueness for evolution in multidimensional time (2006) (7)
Evolution equations with nonlinear boundary conditions (1987) (7)
Semigroups of Linear and Nonlinear Operations and Applications : Proceedings of the Curaçao Conference, August 1992 (1993) (7)
Nonsymmetric elliptic operators with Wentzell boundary conditions in general domains (2016) (7)
Thomas-Fermi theory with magnetic fields and the Fermi-Amaldi correction (1995) (7)
Spin-polarized Thomas-Fermi theory (1988) (7)
THE EXACT AMOUNT OF NONUNIQUENESS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES WITH AN APPLICATION TO THE EULER-POISSON-DARBOUX EQUATION (1978) (7)
Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions (2013) (7)
Variable domain second order evolution equations (1976) (7)
THE WENTZELL TELEGRAPH EQUATION: ASYMPTOTICS AND CONTINUOUS DEPENDENCE ON THE BOUNDARY CONDITIONS (2011) (7)
MARKOV SEMIGROUPS AND GROUPS OF OPERATORS (2007) (6)
A perturbation theorem for evolution equations and some applications (1974) (6)
Periodic solutions of conservation laws (1978) (6)
General Wentzell Boundary Conditions and Analytic Semigroups on W 1, p (0, 1) (2003) (6)
Applications of operator semigroups to Fourier analysis (1996) (6)
A semigroup-theoretic proof of the law of large numbers (1977) (6)
Wentzell Boundary Conditions in the Nonsymmetric Case (2008) (6)
Ostrowski type inequalities over Euclidean domains (2007) (6)
Some remarks on uniqueness for a class of singular abstract Cauchy problems (1976) (6)
The semigroup governing the generalized Cox-Ingersoll-Ross equation (2016) (6)
Higher-order heat and Laplace-type equations with real time variable and complex spatial variable (2010) (6)
Uniqueness for nonlinear Cauchy problems in Banach spaces (1975) (6)
Fourth order ordinary differential operators with general Wentzell boundary conditions (2006) (6)
Affine semigroups on Banach spaces (1988) (5)
Some applications of the law of large numbers (1975) (5)
Wave and telegraph equations with real time variable and complex spatial variables (2012) (5)
COSINE FUNCTIONS AND THE FEYNMAN-KAC FORMULA (1982) (5)
A New Approach to the Analyticity of Some Classes of One-Parameter Semigroups in Weighted-LpSpaces☆☆☆ (1998) (5)
Stochastic processes and functional analysis : in celebration of M.M. Rao's 65th birthday (1997) (5)
Corrigendum and improvement to “Chaotic solution for the Black-Scholes equation” (2014) (5)
Structure of Solutions to Linear Evolution Equations: Extensions of d'Alembert's Formula (1996) (5)
An extremal property of contraction semigroups in Banach spaces (1995) (5)
A general approach to weighted Rellich type inequalities on Carnot groups (2018) (4)
Scaling and variants of Hardy’s inequality (2018) (4)
ON A DOMAIN CHARACTERIZATION OF SCHRODINGER OPERATORS WITH GRADIENT MAGNETIC VECTOR POTENTIALS AND SINGULAR POTENTIALS (1989) (4)
Hilbert-Schmidt approximation problems arising in quantum chemistry (1984) (4)
Asymptotic analysis of the abstract telegraph equation (2008) (4)
Odd solutions to perturbed conservation laws (1996) (4)
On the convergence and approximation of cosine functions (1974) (4)
Asymptotic parabolicity for strongly damped wave equations (2013) (4)
Asymptotic equipartition of operator-weighted energies in damped wave equations (2013) (4)
Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions (1997) (4)
Some extensions of Thomas-Fermi theory (1986) (4)
Regularity of solutions to the perturbed conservation laws (2000) (3)
On Bounded Solutions of Nonlinear Differential Equations in Hilbert Space (1974) (3)
Some counterexamples involving selfadjoint operators (1972) (3)
Recent rigorous results in Thomas-Fermi theory (1989) (3)
The coulomb potential in higher dimensions (1987) (3)
Generalized Wentzell boundary conditions for second order operators with interior degeneracy (2016) (3)
Corrigendum on “semigroup-theoretic proofs of the central limit theorem and other theorems of analysis” (1976) (3)
Gaussian Estimates and Instantaneous Blowup (2008) (3)
OPERATORS OF ORDER 2n WITH INTERIOR DEGENERACY (2019) (3)
Autocorrelation, equipartition of energy, and random evolutions (1982) (2)
The power potential and nonexistence of positive solutions (2006) (2)
Degenerate flux for dynamic boundary conditions in parabolic and hyperbolic equations (2016) (2)
Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy–Leray inequalities (2022) (2)
Temporally Inhomogeneous Scattering Theory. II: Approximation Theory and Second Order Equations (1976) (2)
The Null Volatility Limit of the Chaotic Black-Scholes Equation (2015) (2)
On the Nature of the Instability of Radial Power Equilibria of a Semilinear Parabolic Equation (2014) (2)
Admissible subspaces and the denseness of the intersection of the domains of semigroup generators (1972) (2)
DATA ASSIMILATION AND NULL CONTROLLABILITY OF DEGENERATE/SINGULAR PARABOLIC PROBLEMS (2017) (2)
The Favard Class for a Parabolic Problem with Wentzell Boundary Conditions (2001) (2)
Some developments in semigroups of operators since Hille-Phillips (1981) (2)
A Survey of Semigroups of Linear Operators and Applications (1993) (2)
A generalized Cox-Ingersoll-Ross equation with growing initial conditions (2018) (2)
Some boundary value problems for the Hamilton-Jacobi equation (1978) (2)
A remark on nonlinear cosine functions (1986) (2)
COMPACTNESS OF COMMUTATORS OF TOEPLITZ OPERATORS ON q -PSEUDOCONVEX DOMAINS (2018) (2)
The amount of non-uniqueness for factored equations with Euler-Poisson-Darboux factors (1997) (1)
Review of “one-parameter semigroups by E. B. Davies” (1981) (1)
Markov semigroups and estimating functions, with applications to some financial models (2007) (1)
Burgers and Black–Merton–Scholes equations with real time variable and complex spatial variable (2013) (1)
Schrödinger type equations with real-time variable and complex spatial variables (2013) (1)
An Appreciation of my teacher, M.M. Rao (2004) (1)
Fast diffusion equations on Riemannian manifolds (2020) (1)
Corrigendum on “time dependent hyperbolic equations” (1970) (1)
Lectures on semigroups of nonlinear operators (1972) (1)
Continuous dependence of ergodic limits (1990) (1)
Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities (2021) (1)
The Kompaneets Equation (2020) (1)
ON THE INTERPRETATION OF QUANTUM MECHANICAL SCATTERING MEASUREMENTS (1980) (1)
Multidimensional Opial inequalities for functions vanishing at an interior point (2004) (1)
A class of ordinary differential equations connected with Thomas-Fermi theory (1987) (1)
Generators of Feller semigroups with coefficients depending on parameters and optimal estimators (2007) (1)
Analytic Feller Semigroups via Hypergeometric Series (2014) (1)
A convexified energy functional forthe Fermi-Amaldi correction (2010) (1)
Regularity of perturbed Hamilton--Jacobi equations (2002) (1)
On the growth of solutions of inhomogeneous abstract wave equations (1972) (1)
Selfadjointness of degenerate elliptic operators on higher order Sobolev spaces (2010) (1)
The chaotic heat equation (2013) (1)
Equipartition of energy for nonautonomous wave equations (2016) (1)
The Evolution of Operator Semigroups (2015) (1)
A Semigroup Approach To Dispersive Waves (2019) (1)
On Some Classes of Differential Operators Generating Analytic Semigroups * (2019) (1)
The chaotic Black–Scholes equation with time-dependent coefficients (2020) (1)
Abstract wave equations and associated Dirac-type operators (2011) (0)
Wave and telegraph equations with complex spatial variables (2014) (0)
A Convex Minorant Problem Arising in Electron Density Theory (2010) (0)
EXISTENCE OF MULTIPLE BREATHERS FOR DISCRETE NONLINEAR SCHRÖDINGER EQUATIONS (2019) (0)
Invariant Sets for Nonlinear Operators (2004) (0)
SPECTRAL FUNCTION FOR A NONSYMMETRIC DIFFERENTIAL OPERATOR ON THE HALF LINE (2017) (0)
On bounded solutions of abstract differential equations (1971) (0)
Spectral representation of the weighted Laplace transform (2020) (0)
In admiration of Rainer Nagel (2012) (0)
Review: Hiroki Tanabe, Equations of evolution (1980) (0)
Partial differential equations and related topics : Ford Foundation sponsored program at Tulane University, January to May, 1974 (1975) (0)
Continuous dependence of the asymptotics in discrete and continuous dynamical systems (1989) (0)
Fixed point theorems involving radial compactness and angle conditions (1979) (0)
Coordinating Curriculum in Two-Year Colleges with Baccalaureate Institutions (1985) (0)
Introduction. Dedicated to Philippe Bénilan (2003) (0)
Nonexistence results for parabolic equations involving the $${\varvec{p}}$$-Laplacian and Hardy–Leray-type inequalities on Riemannian manifolds (2021) (0)
Modeling fluctuations in relative axial progress (2002) (0)
Adam Bobrowski: Convergence of one-parameter semigroups in models of mathematical biology and elsewhere (2017) (0)
Asymptotic Properties of Inhomogeneous Wave Equations (2020) (0)
MAJOR PROGRESS ON THE CUTTING EDGE (2002) (0)
Mathematics Appreciation Courses (1989) (0)
Electronic Journal of Qualitative Theory of Differential Equations (2020) (0)
Major league statistics (1995) (0)
Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon In Thomas-Fermi Theory (1993) (0)
COMPACTNESS OF THE CANONICAL SOLUTION OPERATOR ON LIPSCHITZ q-PSEUDOCONVEX BOUNDARIES (2019) (0)
LIFESPAN OF SOLUTIONS OF A FRACTIONAL EVOLUTION EQUATION WITH HIGHER ORDER DIFFUSION ON THE HEISENBERG GROUP (2020) (0)
Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions (2012) (0)
Heat and Laplace equations of complex spatial variables (2014) (0)
Multidimensional weighted Opial inequalities (2006) (0)
Burgers and Black-Merton-Scholes equations with complex spatial variables (2014) (0)
Equipartition of energy for an illposed system with cross friction (2021) (0)
An Integral Identity (M. L. Glasser) (1986) (0)
Historical background and motivation (2014) (0)
A variational property for a family of vector-valued functions (1975) (0)
Review: H. O. Fattorini, The Cauchy problem (1985) (0)
It is well known that many infinitesimal generators of strongly con- tinuous one parameter semigroups of bounded linear operators on a Banach space actually generate semigroups which are analytic in a (2016) (0)
Higher-order heat and Laplace equations with complex spatial variables (2014) (0)
An Operator Semigroup Version of the Edmunds–Moscatelli Example (1978) (0)
Equipartition of energy for nonautonomous damped wave equations (2021) (0)
RESEARCH ARTICLE A Note on the Abstract Cauchy Problem (1997) (0)
Ergodic limits for inhomogeneous evolution equations (2020) (0)
Degenerate Nonlinear Parabolic Problems: The Influence of Probability Theory (2020) (0)
Stochastic Differential Model for Evolutionary Algorithms over Continuous Spaces (1999) (0)
The asymptotics of inhomogeneous factored Cauchy problems (1999) (0)
The Fourth Order Wentzell Heat Equation (2018) (0)
Adam Bobrowski: Convergence of one-parameter semigroups in models of mathematical biology and elsewhere (2017) (0)
Review: William G. Faris, Self-adjoint operators (1976) (0)
Instantaneous blowup and singular potentials on Heisenberg groups (2021) (0)
Schrödinger-type equations with complex spatial variables (2014) (0)
The chaotic Black–Scholes equation with time-dependent coefficients (2020) (0)
THE HAMILTON-JACOBI EQUATION WITH AN UNBOUNDED INHOMOGENEITY (1982) (0)
Evolution equations with a complex spatial variable in general domains (2014) (0)
A general approach to weighted Rellich type inequalities on Carnot groups (2017) (0)
Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary (2019) (0)
Operators of order 2 \begin{document}$ n $\end{document} with interior degeneracy (2018) (0)
Book Review: Semi-bounded differential operators, contractive semigroups, and beyond (2017) (0)
Scientific Biographical Sketch of Edward D. Conway (1988) (0)
Attractors for Semigroups and Evolution Equations (Olga Ladyzhenskaya) (1993) (0)
In admiration of Rainer Nagel (2012) (0)
Nested First-Passages of Tracer Particles in Flows of Blood and Control Suspensions: Symmetry and Lorentzian Transformations (2017) (0)
An Analytic Semigroup Associated to a Degenerate Evolution Equation (2020) (0)
Linearized Korteweg-de Vries equations with complex spatial variables (2014) (0)
Book reviews (1995) (0)
The weighted Laplace transform (2019) (0)
Book Review: One-parameter semigroups of positive operators (1987) (0)

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