Sergei L’vovich Sobolev

Sergei L’vovich Sobolev's AcademicInfluence.com Rankings

Mathematics

#6335

World Rank

#8795

Historical Rank

Functional Analysis

#40

World Rank

#56

Historical Rank

Measure Theory

#1274

World Rank

#1615

Historical Rank

mathematics Degrees

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Mathematics

Why Is Sergei L’vovich Sobolev Influential?

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Sergei L’vovich Sobolev'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

On a theorem in functional analysis (1938) (559)
Some Applications of Functional Analysis in Mathematical Physics (1991) (553)
On a New Problem of Mathematical Physics (2006) (162)
Theory of Cubature Formulas (1997) (131)
Partial Differential Equations of Mathematical Physics (1965) (124)
REVIEWS OF TOPICAL PROBLEMS: Transport processes and traveling waves in systems with local nonequilibrium (1991) (99)
Rapid solidification under local nonequilibrium conditions (1997) (92)
Local non-equilibrium transport models (1997) (81)
Cubature formulas and modern analysis : an introduction (1995) (75)
The Coefficients of Optimal Quadrature Formulas (2006) (47)
On the roots of Euler polynomials (2006) (37)
On hyperbolic heat-mass transfer equation (2018) (29)
Cubature Formulas on the Sphere Invariant under Finite Groups of Rotations (2006) (29)
Functional Analysis and Computational Mathematics (2006) (28)
Functionally Invariant Solutions of the Wave Equation (2006) (23)
Influence of local nonequilibrium on the rapid solidification of binary alloys (1998) (16)
On Motion of a Symmetric Top with a Cavity Filled with Fluid (2006) (16)
Discrete model for transfer processes (1992) (14)
Local nonequilibrium solute trapping model for non-planar interface (2013) (13)
An analytical model for solute diffusion in multicomponent alloy solidification (2014) (12)
General Theory of Diffraction of Waves on Riemann Surfaces (2006) (11)
Formulas of Mechanical Cubatures in n -Dimensional Space (2006) (10)
On Interpolation of Functions of n Variables (2006) (9)
Modeling of eutectic dendrite growth in undercooled binary alloys (2016) (9)
Velocity and combustion limits in a thermally thin condensed substance layer undergoing heat exchange with an inert medium (1989) (8)
Problems and Results of the Theory of Cubature Formulas (1997) (8)
On Application of a New Method to Study Elastic Vibrations in a Space with Axial Symmetry (2006) (8)
Application of the Theory of Plane Waves to the Lamb Problem (2006) (7)
Local Nonequilibrium Electron Transport in Metals after Femtosecond Laser Pulses: A Multi-Temperature Hyperbolic Model (2021) (7)
On a New Method in the Plane Problem on Elastic Vibrations (2006) (6)
Velocity and limits of combustion of a thermally thick condensed substance layer exchanging heat with an inert medium (1989) (6)
Equations of mathematical physics, computational mathematics, and cubature formulas (2006) (6)
THE EQUATION OF HEAT CONDUCTION (1964) (5)
The determination of thermal stress in a medium with cavities (1958) (5)
Theory of normal-zone propagation along a superconducting wire with allowance for thermal-relaxation processes (1991) (4)
ON VIBRATIONS OF A HALF-PLANE AND OF A LAMINA UNDER ARBITRARY INITIAL CONDITIONS (1968) (4)
Convergence of Approximate Integration Formulas for Functions from L 2 ( m ) (2006) (4)
A Difference Analogue of the Polyharmonic Equation (2006) (4)
Optimization of numerical processes (1965) (4)
Various Types of Convergence of Cubature and Quadrature Formulas (2006) (3)
Combustion wave propagation on a combustible material surface in a heterogeneous reaction (1988) (3)
On the solution of a boundary value problem (1959) (3)
Some new problems in the theory of partial differential equations (1963) (3)
On the End Roots of Euler Polynomials (2006) (3)
Comparative study of solute trapping and Gibbs free energy changes at the phase interface during alloy solidification under local nonequilibrium conditions (2017) (3)
Schwarz’s Algorithm in Elasticity Theory (2006) (3)
On the Rate of Convergence of Cubature Formulas (2006) (2)
Heat Transport on Ultrashort Time and Space Scales in Nanosized Systems: Diffusive or Wave-like? (2022) (2)
Les coefficients optimaux des formules d'intégration approximative (1978) (2)
Convergence of Cubature Formulas on Infinitely Differentiable Functions (2006) (2)
Local-Nonequilibrium Effects in Rapid Solidification (1996) (2)
Evaluation of Integrals of Infinitely Differentiable Functions (2006) (2)
On a Class of Problems of Mathematical Physics (2006) (2)
LAPLACE'S EQUATION IN CURVILINEAR COORDINATES. EXAMPLES OF THE USE OF FOURIER'S METHOD (1964) (2)
Mathematics in the Contemporary School (1983) (1)
GREEN'S FUNCTION FOR THE LAPLACE OPERATOR (1964) (1)
Functions of a Discrete Variable (1997) (1)
On One Difference Equation (2006) (1)
On Solution Uniqueness of Difference Equations of Elliptic Type (2006) (1)
DERIVATION OF THE FUNDAMENTAL EQUATIONS (1964) (1)
More on the Zeros of Euler Polynomials (2006) (1)
A Method for Calculating the Coefficients in Mechanical Cubature Formulas (2006) (1)
Critical conditions and the induction period for combustion of a metal plate in an immobile oxidizing atmosphere (1986) (1)
Cubature Formulas with Regular Boundary Layer (2006) (1)
On a New Method of Solving Problems about Propagation of Vibrations (2006) (1)
On the Algebraic Order of Exactness of Formulas of Approximate Integration (2006) (1)
Differential equations and function spaces : dedicated to the memory of academician Sergeĭ Lʹvovich Sobolev : collection of papers (1992) (0)
THE WAVE EQUATION AND THE RETARDED POTENTIAL (1964) (0)
The Problem of Propagation of a Plastic State (2006) (0)
On some Soviet papers concerning applications of functional analysis to differential equations (1956) (0)
NONSTANDARD MODELS AND OPTIMIZATION1 (2009) (0)
APPLICATION OF THE THEORY OF FREDHOLM EQUATIONS TO THE SOLUTION OF THE DIRICHLET AND NEUMANN PROBLEMS (1964) (0)
THE SOLUTION OF THE DIRICHLET PROBLEM FOR A SPHERE (1964) (0)
Optimal Mechanical Cubature Formulas with Nodes on a Regular Lattice (2006) (0)
Investigations on the theory of functions of several real variables and the approximation of functions : collection of papers (1987) (0)
Combustion-wave propagation in a thin layer of material with gas-phase reaction between fuel and oxidant (1983) (0)
Constructing Cubature Formulas with Regular Boundary Layer (2006) (0)
Convergence of Cubature Formulas on the Elements of \( \tilde L_2^{(m)}\) (2006) (0)
PROPERTIES OF THE POTENTIALS OF SINGLE AND DOUBLE LAYERS (1964) (0)
THE INHOMOGENEOUS INTEGRAL EQUATION WITH A SYMMETRIC KERNEL (1964) (0)
Critical conditions of combustion of macroheterogeneous systems consisting of a fuel and an inert material (1983) (0)
Thirty-One Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966 (1968) (0)
Ten Papers on Topology (1963) (0)
INTEGRAL EQUATIONS WITH REAL, SYMMETRIC KERNELS (1964) (0)
CONDUCTOR INEQUALITIES AND CRITERIA FOR SOBOLEV-LORENTZ TWO-WEIGHT INEQUALITIES (2008) (0)
SOME GENERAL CONSEQUENCES OF GREEN'S FORMULA (1964) (0)
MULTIPLE INTEGRALS: LEBESGUE INTEGRATION (1964) (0)
VIBRATIONS OF A RECTANGULAR PARALLELEPIPED (1964) (0)
On the Asymptotics of the Roots of the Euler Polynomials (2006) (0)
LAPLACE'S EQUATION AND POISSON'S EQUATION (1964) (0)
THE EQUATION FOR A VIBRATING STRING AND ITS SOLUTION BY D'ALEMBERT'S METHOD (1964) (0)
LAPLACE'S EQUATION AND POISSON'S EQUATION IN A PLANE (1964) (0)
CHAPTER 7 – On the roots of Euler polynomials (1982) (0)
THE CLASSIFICATION OF LINEAR EQUATIONS OF THE SECOND ORDER (1964) (0)
Effect of the relaxation of the heat flow on the wave forming regimes in low-temperature chemical reactions (1992) (0)
Propagation of combustion wave over the surface of a combustible material in the diffusion regime of a heterogeneous chemical reaction (1986) (0)
THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM FOR A HALF-SPACE (1964) (0)
Eleven Papers on Differential Equations, Two on Information Theory (1963) (0)
FOURIER'S METHOD (1964) (0)
THE FORMULATION OF PROBLEMS OF MATHEMATICAL PHYSICS. HADAMARD'S EXAMPLE (1964) (0)
Optimal Interpolation Formulas with Derivative in the Space L (2019) (0)
GREEN'S FUNCTION (1964) (0)
Cubature Formulas of Infinite Order (1997) (0)
Certain Comments on the Numeric Solutions of Integral Equations (2006) (0)
SOME ELEMENTARY PROPERTIES OF SPHERICAL FUNCTIONS (1964) (0)
HARMONIC POLYNOMIALS AND SPHERICAL FUNCTIONS (1964) (0)
THE BILINEAR FORMULA AND THE HILBERT–SCHMIDT THEOREM (1964) (0)
Certain Modern Questions of Computational Mathematics (2006) (0)
Wisdom of symbols (2008) (0)
Partial differential equations : proceedings of a symposium dedicated to Academician S.L. Sobolev (1976) (0)
CORRECTNESS OF FORMULATION OF THE BOUNDARY-VALUE PROBLEMS OF MATHEMATICAL PHYSICS (1964) (0)
MATHEMATICAL OLYMPIADS IN THE SOVIET UNION (1975) (0)
Certain Questions of the Theory of Cubature Formulas (2006) (0)
Formulas with Regular Boundary Layer for Rational Polyhedra (1997) (0)
Problems of Information Service. (1971) (0)
POISSON'S EQUATION IN AN UNBOUNDED MEDIUM. NEWTONIAN POTENTIAL (1964) (0)
RIEMANN'S METHOD (1964) (0)
The Number of Nodes in Cubature Formulas on the Sphere (2006) (0)
Sixteen papers on differential and difference equations functional analysis, games and control (1970) (0)
On the Lq,p-cohomology of Riemannian Manifolds with Negative Curvature (2009) (0)
REDUCTION OF THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM TO INTEGRAL EQUATIONS (1964) (0)
On Vibrations of a Half-Plane and a Layer with Arbitrary Initial Conditions (2006) (0)
Universal Asymptotic Optimality (1997) (0)
On a Formalization of Natural Arithmetic Theory (2015) (0)

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What Schools Are Affiliated With Sergei L’vovich Sobolev?

Sergei L’vovich Sobolev is affiliated with the following schools:

Samara State Technical University

Sergei L’vovich Sobolev's Academic­Influence.com Rankings

Why Is Sergei L’vovich Sobolev Influential?

Sergei L’vovich Sobolev's Published Works

Published Works

What Schools Are Affiliated With Sergei L’vovich Sobolev?

Sergei L’vovich Sobolev's AcademicInfluence.com Rankings