David Jerison
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Mathematics
Why Is David Jerison Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Saul Jerison is an American mathematician, a professor of mathematics and a MacVicar Faculty Fellow at the Massachusetts Institute of Technology, and an expert in partial differential equations and Fourier analysis.
David Jerison's Published Works
Published Works
- The Inhomogeneous Dirichlet Problem in Lipschitz Domains (1995) (850)
- Boundary behavior of harmonic functions in non-tangentially accessible domains (1982) (618)
- The Poincaré inequality for vector fields satisfying Hörmander’s condition (1986) (521)
- Unique continuation and absence of positive eigenvalues for Schrodinger operators (1985) (418)
- The Neumann problem on Lipschitz domains (1981) (341)
- The Yamabe problem on CR manifolds (1987) (305)
- Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem (1988) (244)
- Estimates for the heat kernel for a sum of squares of vector fields (1986) (215)
- The Wiener test for degenerate elliptic equations (1982) (196)
- Subelliptic, second order differential operators (1987) (173)
- Intrinsic CR normal coordinates and the CR Yamabe problem (1989) (156)
- The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, II (1981) (134)
- The World According to Wavelets : The Story of a Mathematical Technique in the Making Reviewed by David Jerison (1999) (132)
- Some new monotonicity theorems with applications to free boundary problems (2002) (124)
- On the absence of positive eigenvalues of Schrödinger operators with rough potentials (2003) (113)
- Global energy minimizers for free boundary problems and full regularity in three dimensions (2004) (110)
- The Dirichlet problem in non-smooth domains (1981) (110)
- A minkowski problem for electrostatic capacity (1996) (109)
- Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure (1984) (105)
- Area integral estimates for elliptic differential operators with non-smooth coefficients (1984) (95)
- Carleman inequalities for the Dirac and Laplace operators and unique continuation (1986) (93)
- A singular energy minimizing free boundary (2009) (91)
- The “hot spots” conjecture for domains with two axes of symmetry (2000) (86)
- Effective Confining Potential of Quantum States in Disordered Media. (2015) (81)
- Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains (1982) (74)
- Some remarks on stability of cones for the one-phase free boundary problem (2014) (66)
- On the Case of Equality in the Brunn-Minkowski Inequality for Capacity (1996) (64)
- Quantitative stability for the Brunn-Minkowski inequality (2014) (63)
- Towards a counter-example to a conjecture of De Giorgi in high dimensions (2004) (61)
- The Direct Method in the Calculus of Variations for Convex Bodies (1996) (53)
- MULTILINEAR SQUARE FUNCTIONS AND PARTIAL DIFFERENTIAL EQUATIONS (1985) (50)
- Multilinear Littlewood-Paley estimates with applications to partial differential equations. (1982) (50)
- Localization of eigenfunctions via an effective potential (2017) (46)
- Asymptotics of the first nodal line of a convex domain (1996) (46)
- An identity with applications to harmonic measure (1980) (45)
- The size of the first eigenfunction of a convex planar domain (1998) (44)
- Computing Spectra without Solving Eigenvalue Problems (2017) (43)
- The diameter of the first nodal line of a convex domains (1995) (41)
- Quantitative stability for sumsets in $R^n$ (2014) (36)
- Partial Differential Equations with Minimal Smoothness and Applications (2011) (32)
- Locating the first nodal linein the Neumann problem (2000) (31)
- The logarithm of the Poisson kernel of a ¹ domain has vanishing mean oscillation (1982) (29)
- Regularity of the Poisson kernel and free boundary problems (1990) (29)
- Boundary regularity in the dirichlet problem for □b on cr manifolds (1983) (29)
- Regularity for the one-phase Hele-Shaw problem from a Lipschitz initial surface (2007) (29)
- The functional calculus for the laplacian on Lipschitz domains (1989) (23)
- A gradient bound for free boundary graphs (2010) (20)
- The first nodal line of a convex planar domain (1991) (20)
- Structure of one-phase free boundaries in the plane (2014) (19)
- Asymptotics of eigenfunctions on plane domains (2007) (19)
- The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts (1997) (18)
- 11. The First Nodal Set of a Convex Domain (1995) (17)
- Third derivative estimates for Dirichlet's problem in convex domains (1994) (16)
- Approximately rational consumer demand (1993) (14)
- The one-phase Hele-Shaw problem with singularities (2005) (14)
- Current developments in mathematics 2013 (2003) (14)
- Local regularization of the one-phase hele-shaw flow (2009) (14)
- The existence of a symmetric global minimizer on Rn−1 implies the existence of a counter-example to a conjecture of De Giorgi in Rn (2001) (12)
- Approximately rational consumer demand and ville cycles (1992) (12)
- Prescribing harmonic measure on convex domains (1991) (11)
- SHARP ESTIMATES FOR GREEN POTENTIALS ON NON-SMOOTH DOMAINS (2004) (11)
- Higher Critical Points in an Elliptic Free Boundary Problem (2018) (11)
- Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume (2017) (11)
- Singularities of the wave trace near cluster points of the length spectrum (2010) (10)
- How to recognize convexity of a set from its marginals (2013) (9)
- Real income growth and revealed preference inconsistency (2001) (7)
- On the means of quasiregular and quasiconformal mappings (1981) (6)
- Existence and regularity of higher critical points for elliptic free boundary problems (2014) (6)
- Harmonic measure in convex domains (1989) (6)
- Inhomogeneous global minimizers to the one-phase free boundary problem (2021) (5)
- Demand aggregation and integrability of the HOGLEX demand function (1984) (5)
- The failure of $L^p$ estimates for harmonic measure in chord-arc domains. (1983) (5)
- A free boundary problem for the localization of eigenfunctions (2014) (5)
- A discrete characterization of Slutsky symmetry (1996) (5)
- The Two Hyperplane Conjecture (2018) (4)
- Optimal function spaces for continuity of the Hessian determinant as a distribution (2014) (4)
- Eigenfunctions and Harmonic Functions in Convex and Concave Domains (1995) (3)
- Sharp Estimates for Harmonic Measure in Convex Domains (1992) (3)
- An Elementary Approach to Local Solvability for Constant Coefficient Partial Differential Equations (1990) (2)
- Sobolev Estimates for the Wave Operator on compact Manifolds (1992) (2)
- Singularities of the wave trace for the Friedlander model (2014) (2)
- Two-phase Free Boundary Problems in Convex Domains (2020) (2)
- Commodity Aggregation and Slutsky Asymmetry (1994) (2)
- Higher critical points in a free boundary problem (2016) (2)
- Free boundaries subject to topological constraints (2019) (2)
- Hidden landscape of an Anderson insulator (2019) (1)
- Filoche et al. Reply. (2020) (1)
- Asymptotics of the first nodal line (1995) (1)
- Quantitative stability for sumsets in R[superscript n] (2015) (1)
- Measuring Consumer Inconsistency: Real Income, Revealed Preference and the Slutsky Matrix (1999) (1)
- Locating the rst nodal line in the Neumann problem (2000) (1)
- Locating the first nodal set in higher dimensions (2009) (1)
- Finding the First Nodal Line of a Convex Domain (2020) (0)
- The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee) (1984) (0)
- On the B-pseudodifferential Calculus on Manifolds with Corners on the B-pseudodifferential Calculus on Manifolds with Corners (2009) (0)
- Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring (2008) (0)
- Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume (2017) (0)
- A P ] 4 O ct 2 01 6 HIGHER CRITICAL POINTS IN AN ELLIPTIC FREE BOUNDARY PROBLEM (2018) (0)
- Some remarks on stability of cones for the one-phase free boundary problem (2015) (0)
- 6 th Symposium on Analysis and PDEs Purdue University , June 1 – 4 , 2015 ABSTRACTS Principal Lecturers (2015) (0)
- M G ] 2 4 D ec 2 01 4 Quantitative stability for the Brunn-Minkowski inequality (2014) (0)
- Arrangements and Amounts of Equal Minors in Totally Positive Matrices (2014) (0)
- Effective localization potential of quantum states in disordered media (2016) (0)
- 2021 Saturday , November 6 (2021) (0)
- Singularities of the wave trace for the Friedlander model (2017) (0)
- On a Sharp Sobolev Inequality with Remainder Term UROP + Final Paper , Summer 2019 (2019) (0)
- The Two Hyperplane Conjecture (2019) (0)
- Higher Critical Points in an Elliptic Free Boundary Problem (2017) (0)
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