Lawrence C. Evans | Academic Influence

Lawrence C. Evans's AcademicInfluence.com Rankings

Lawrence C. Evans

Mathematics

#562

World Rank

#1073

Historical Rank

#251

USA Rank

Measure Theory

#126

World Rank

#202

Historical Rank

#57

USA Rank

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Mathematics

Lawrence C. Evans's Degrees

PhD Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Lawrence C. Evans Influential?

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According to Wikipedia, Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley. His research is in the field of nonlinear partial differential equations, primarily elliptic equations. In 2004, he shared the Leroy P. Steele Prize for Seminal Contribution to Research with Nicolai V. Krylov. Evans also made significant contributions to the development of the theory of viscosity solutions of nonlinear equations, to the understanding of the Hamilton–Jacobi–Bellman equation arising in stochastic optimal control theory, and to the theory of harmonic maps. He is also well known as the author of the textbook Partial Differential Equations, which is considered as a standard introduction to the theory at the graduate level. His textbook Measure theory and fine properties of functions , an exposition on Hausdorff measure, capacity, Sobolev functions, and sets of finite perimeter, is also widely cited.

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Lawrence C. Evans'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

Measure theory and fine properties of functions (1992) (6311)
Motion of level sets by mean curvature. I (1991) (1313)
Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations. (1984) (1242)
Weak convergence methods for nonlinear partial differential equations (1990) (725)
Classical solutions of fully nonlinear, convex, second‐order elliptic equations (1982) (577)
Phase Transitions and Generalized Motion by Mean Curvature (1992) (551)
Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations. (1983) (538)
Differential equations methods for the Monge-Kantorovich mass transfer problem (1999) (500)
The perturbed test function method for viscosity solutions of nonlinear PDE (1989) (320)
Partial Diﬀerential Equations (2000) (296)
Periodic homogenisation of certain fully nonlinear partial differential equations (1992) (285)
MULTIPLE INTEGRALS IN THE CALCULUS OF VARIATIONS AND NONLINEAR ELLIPTIC SYSTEMS (1984) (275)
Partial regularity for stationary harmonic maps into spheres (1991) (272)
Quasiconvexity and partial regularity in the calculus of variations (1986) (257)
Optimal Lipschitz extensions and the infinity laplacian (2001) (255)
Motion of level sets by mean curvature IV (1995) (228)
A new proof of local C1,α regularity for solutions of certain degenerate elliptic p.d.e. (1982) (217)
On Hopf's formulas for solutions of Hamilton-Jacobi equations (1984) (201)
Convergence of an algorithm for mean curvature motion (1993) (200)
Motion of level sets by mean curvature III (1992) (198)
Motion of level sets by mean curvature. II (1992) (182)
A PDE approach to geometric optics for certain semilinear parabolic equations (1989) (156)
Optimal Switching for Ordinary Differential Equations (1984) (154)
Continuity of the temperature in the two-phase Stefan problem (1983) (138)
Partial Differential Equations and Monge-Kantorovich Mass Transfer (1997) (135)
Fast/Slow Diffusion and Growing Sandpiles (1996) (131)
Effective Hamiltonians and Averaging for Hamiltonian Dynamics I (2001) (128)
The infinity Laplacian, Aronsson’s equation and their generalizations (2008) (126)
Optimal stochastic switching and the Dirichlet problem for the Bellman equation (1979) (125)
An Introduction to Stochastic Differential Equations (2014) (123)
Nonlinear evolution equations in an arbitrary Banach space (1977) (118)
Wavefront propagation for reaction-diffusion systems of PDE (1990) (106)
Everywhere differentiability of infinity harmonic functions (2011) (104)
C1,α regularity for infinity harmonic functions in two dimensions (2008) (103)
Viscosity solutions of Isaacs' equations and differential games with Lipschitz controls (1984) (103)
Classical solutions of the Hamilton-Jacobi-Bellman equation for uniformly elliptic operators (1983) (101)
Stabilization of uncertain systems with norm bounded uncertainty-a control (1989) (99)
Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations (1986) (99)
On solving certain nonlinear partial differential equations by accretive operator methods (1980) (98)
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities (1985) (98)
Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities (1979) (96)
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity (1994) (88)
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995 (1997) (86)
Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations (1978) (86)
Adjoint and Compensated Compactness Methods for Hamilton–Jacobi PDE (2010) (80)
Fast/slow diffusion and collapsing sandpiles (1997) (78)
Some new PDE methods for weak KAM theory (2003) (77)
A second order elliptic equation with gradient constraint (1979) (77)
On the relation of the operator ∂/∂s+∂/∂τ to evolution governed by accretive operators (1975) (74)
Blowup, compactness and partial regularity in the calculus of variations (1987) (71)
A survey of entropy methods for partial differential equations (2004) (69)
IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION (2004) (63)
Various Properties of Solutions of the Infinity-Laplacian Equation (2005) (55)
Diffeomorphisms and Nonlinear Heat Flows (2005) (54)
An Introduction to Variational Inequalities and Their Applications (D. Kinderlehrer and G. Stampacchia) (1981) (51)
Estimates for smooth absolutely minimizing Lipschitz extensions. (1993) (47)
Calculus of Variations and Nonlinear Partial Differential Equations (2007) (46)
Effective Hamiltonians and Averaging¶for Hamiltonian Dynamics II (2002) (45)
The 1-Laplacian , the ∞-Laplacian and Differential Games (2006) (44)
A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators (1977) (43)
A PDE approach to certain large deviation problems for systems of parabolic equations (1989) (43)
Regularity properties for the heat equation subject to nonlinear boundary constraints (1977) (39)
Further PDE methods for weak KAM theory (2009) (36)
Some remarks concerning quasiconvexity and strong convergence (1987) (36)
Towards a Quantum Analog of Weak KAM Theory (2004) (35)
A remark on infinity harmonic functions. (2001) (35)
Linear programming interpretations of Mather's variational principle (2002) (35)
Some min-max methods for the Hamilton-Jacobi equation (1984) (33)
On the partial regularity of energy-minimizing, area-preserving maps (1999) (31)
Adjoint Methods for the Infinity Laplacian Partial Differential Equation (2011) (29)
Differential games and nonlinear first order PDE on bounded domains (1984) (28)
Waiting Time Effects for Gauss Curvature Flows (1999) (27)
Differentiability of a nonlinear semigroup in L1 (1977) (26)
A strong maximum principle for parabolic systems in a convex set with arbitrary boundary (2009) (23)
Envelopes and nonconvex Hamilton–Jacobi equations (2014) (22)
MOTION BY MEAN CURVATURE (1991) (22)
Regularity for fully nonlinear elliptic equations and motion by mean curvature (1997) (22)
A Stochastic Model for Growing Sandpiles and its Continuum Limit (1998) (21)
An approximation scheme for reflected stochastic differential equations (2010) (20)
Some estimates for nondivergence structure, second order elliptic equations (1985) (20)
Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models (2013) (20)
A Geometric Interpretation of the Heat Equation with Multivalued Initial Data (1996) (16)
Some results for the primitive equations with physical boundary conditions (2011) (16)
An asymptotic model for compression molding (2002) (16)
The parabolic bellman equation (1981) (15)
On some singular limits of homogeneous semigroups (2003) (13)
Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE (1987) (13)
Weak KAM Theory and Partial Differential Equations (2008) (12)
A chemical diffusion-reaction free boundary problem (1982) (12)
Monotonicity formulae for variational problems (2013) (12)
Uniqueness for two immiscible fluids in a one-dimensional porous medium (1980) (11)
Entropy and Partial Differential Equations (2014) (10)
Effective Hamiltonians and Quantum States (2001) (10)
A singular semilinear equation in (1977) (10)
Fully nonlinear second order elliptic equations with large zeroth order coefficient (1981) (9)
Regularity and asymptotic behavior of two immiscible fluids in a one-dimensional porous medium (1979) (8)
The Fiedler Rose: On the extreme points of the Fiedler vector (2011) (8)
Nonlinear Systems in Optimal Control Theory and Related Topics (1983) (6)
Gradient bounds for solutions of degenerate variational inequalities (1981) (6)
An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems (1985) (6)
Weak convergence and averaging for ODE (2016) (5)
Convexity and optimality conditions for continuous time principal-agent problems (2015) (5)
A Singular Semilinear Equation in L 1 (R) (1977) (5)
An elastoplastic plane stress problem (1979) (4)
A strong maximum principle for reaction-diffusion systems and a weak convergence scheme for reflected stochastic differential equations by Lawrence Christopher Evans. (2010) (4)
WEAK CONVERGENCE THEOREMS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FIRST AND SECOND ORDER (1982) (3)
A "Lakes and Rivers" Heuristic Metaphor for the Singular Limit of a Nonlinear Diffusion PDE (2009) (3)
An unusual minimization principle for parabolic gradient flows (1996) (3)
The Level Set Method for Etching and Deposition (1997) (3)
Fields Medals and Nevanlinna Prize Presented at ICM-94 in Zurich (1974) (3)
THREE SINGULAR VARIATIONAL PROBLEMS (Viscosity Solutions of Differential Equations and Related Topics) (2003) (3)
Nonlinear first-order PDE (2010) (2)
SOME PROPERTIES OF VISCOSITY SOLUTIONS (2016) (2)
Hamilton–Jacobi Equations in Hilbert Spaces (V. Barbu and G. DaPrato) (1985) (2)
A “ Lakes and Rivers ” Interpretation for the Singular Limit of a Nonlinear Diffusion PDE (2009) (1)
On the Relation of the Operator Partial derivative with respect to s + Partial derivative with respect to tau to Evolution Governed by Accretive Operators. (1975) (1)
New identities for Weak KAM theory (2017) (1)
Some old and new perspectives for differential games (2014) (1)
A Singular Semilinear Equation in (L superscript 1)(R). (1975) (0)
The book we shall use for this course is entitled Partial Dierential Equations (1982) (0)
Variational Principles and Free Boundary Problems. (Avner Friedman) (1984) (0)
Possible Polymath Project (2012) (0)
Some results for the primitive equations with physical boundary conditions (2013) (0)
Regularity of the Solution of the Hamilton-Jacobi-Bellman Equation for Uniformly Elliptic Operators (1982) (0)
49L25 Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (2021) (0)
Final Project : Thick points of a Gaussian Free Field (2009) (0)
FRG: Collaborative research: Applications of transportation theory to nonlinear dynamics (2009) (0)
Envelopes and nonconvex Hamilton–Jacobi equations (2013) (0)
LINEAR PROGRAMMING INTERPRETATIONS OF MATHER'S VARIATIONAL (2002) (0)
Linear programming : Discrete case 2 . 1 . General linear programming (2002) (0)
QUANTUM ANALOG OF WEAK KAM THEORY (2003) (0)

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