Sergei L’vovich Sobolev
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Sergei L’vovich Sobolev's AcademicInfluence.com Rankings
Sergei L’vovich Sobolevmathematics Degrees
Mathematics
#6335
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#8795
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Functional Analysis
#40
World Rank
#56
Historical Rank
Measure Theory
#1274
World Rank
#1615
Historical Rank

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Mathematics
Why Is Sergei L’vovich Sobolev Influential?
(Suggest an Edit or Addition)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: