## Evans, Lawrence Craig

Compute Distance To:
 Author ID: evans.lawrence-craig Published as: Evans, L. C.; Evans, Lawrence C.; Evans, Lawrence Craig Homepage: https://math.berkeley.edu/~evans/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 119 Publications since 1975, including 7 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 27 Co-Authors with 45 Joint Publications 966 Co-Co-Authors
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### Co-Authors

 48 single-authored 10 Gariepy, Ronald F. 5 Crandall, Michael G. 5 Souganidis, Panagiotis E. 4 Ishii, Hitoshi 4 Lions, Pierre-Louis 4 Spruck, Joel 3 Friedman, Avner 3 Gomes, Diogo Luís Aguiar 2 Aronsson, Gunnar 2 Barron, Emmanuel Nicholas 2 Bénilan, Philippe 2 Caffarelli, Luis Ángel 2 Chipot, Michel 2 Gangbo, Wilfrid 2 Knerr, Barry F. 2 Savin, Ovidiu V. 2 Smart, Charles K. 1 Adalsteinsson, David 1 Alikakos, Nicholas D. 1 Baiocchi, Claudio 1 Ball, John MacLeod 1 Barles, Guy 1 Brézis, Haïm 1 Capuzzo Dolcetta, Italo 1 Chopp, David L. 1 De Pascale, Luigi 1 Dorfman, Jonathan 1 Douady, Adrien 1 Feldman, Mikhail 1 Frank, Leonid S. 1 Giarrusso, Ester 1 James, Matthew R. 1 Kneuss, Olivier 1 Lenhart, Suzanne M. 1 Lindenstrauss, Joram 1 Massey, Frank J. III 1 Menaldi, Jose-Luis 1 Müller, Stefan 1 Perthame, Benoît 1 Pierre, Michel 1 Pippenger, Nicholas J. 1 Portilheiro, Manuel 1 Pratelli, Aldo 1 Rezakhanlou, Fraydoun 1 Shalev, Aner 1 Soner, Halil Mete 1 Sougandis, P. E. 1 Tabrizian, Peyam R. 1 Tran Vinh Hung 1 Yu, Yifeng 1 Zhang, Te
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### Serials

 11 Indiana University Mathematics Journal 10 Archive for Rational Mechanics and Analysis 7 Transactions of the American Mathematical Society 7 Calculus of Variations and Partial Differential Equations 6 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 2 Communications in Mathematical Physics 2 Houston Journal of Mathematics 2 Applied Mathematics and Optimization 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Journal of Geometric Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Graduate Studies in Mathematics 1 Journal of Mathematical Analysis and Applications 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Séminaire Équations aux Dérivées Partielles 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Evolution Equations 1 Forum Geometricorum 1 Regional Conference Series in Mathematics 1 Textbooks in Mathematics
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### Fields

 99 Partial differential equations (35-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

113 Publications have been cited 8,929 times in 5,986 Documents Cited by Year
Measure theory and fine properties of functions. Zbl 0804.28001
Evans, Lawrence C.; Gariepy, Ronald F.
1992
Partial differential equations. Zbl 0902.35002
Evans, Lawrence C.
1998
Partial differential equations. 2nd ed. Zbl 1194.35001
Evans, Lawrence C.
2010
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
1984
Motion of level sets by mean curvature. I. Zbl 0726.53029
Evans, L. C.; Spruck, J.
1991
Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001
Evans, Lawrence Craig; Gariepy, Ronald F.
2015
Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007
Evans, L. C.; Gariepy, R. F.
1987
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
1992
Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022
Evans, Lawrence C.
1982
Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004
Evans, L. C.; Gangbo, W.
1999
Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317
Evans, L. C.; Souganidis, P. E.
1984
Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007
Evans, Lawrence C.
1991
The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001
Evans, Lawrence C.
1989
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
A new proof of local $$C^{1,\alpha}$$ regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036
Evans, Lawrence C.
1982
Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011
Evans, Lawrence C.
1992
Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006
Evans, Lawrence C.
1986
Weak convergence methods for nonlinear partial differential equations. Expository lectures from the CBMS regional conference held at Loyola University of Chicago, June 27-July 1, 1988. Zbl 0698.35004
Evans, Lawrence C.
1990
Motion of level sets by mean curvature. II. Zbl 0776.53005
Evans, L. C.; Spruck, J.
1992
Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011
Evans, Lawrence C.
1999
Nonlinear evolution equations in an arbitrary Banach space. Zbl 0349.34043
Evans, L. C.
1977
On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011
Bardi, M.; Evans, L. C.
1984
A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014
Evans, L. C.; Souganidis, P. E.
1989
Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029
Chipot, Michel; Evans, Lawrence C.
1986
Motion of level sets by mean curvature. III. Zbl 0768.53003
Evans, L. C.; Spruck, J.
1992
Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080
Caffarelli, L. A.; Evans, L. C.
1983
Wiener’s criterion for the heat equation. Zbl 0508.35038
Evans, Lawrence C.; Gariepy, Ronald F.
1982
Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046
Evans, Lawrence C.; Friedman, Avner
1979
The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019
Barron, E. N.; Evans, L. C.; Jensen, R.
2008
Optimal switching for ordinary differential equations. Zbl 0641.49017
Capuzzo Dolcetta, I.; Evans, L. C.
1984
Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034
Evans, Lawrence C.; Smart, Charles K.
2011
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
Convergence of an algorithm for mean curvature motion. Zbl 0802.65098
Evans, Lawrence C.
1993
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
1990
Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056
Evans, L. C.; Gomes, D.
2001
An introduction to stochastic differential equations. Zbl 1416.60002
Evans, Lawrence C.
2013
On the relation of the operator $$\partial/\partial s+partial/\tau$$ to evolution governed by accretive operators. Zbl 0351.34037
Crandall, Michael G.; Evans, L. C.
1975
Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities. Zbl 0403.35052
Evans, Lawrence C.; Knerr, Barry F.
1979
Fast/slow diffusion and growing sandpiles. Zbl 0864.35057
Aronsson, G.; Evans, L. C.; Wu, Y.
1996
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076
Evans, L. C.; Ishii, H.
1985
Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104
Barron, E. N.; Evans, L. C.; Jensen, R.
1984
Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030
Evans, Lawrence C.
2010
On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038
Evans, Lawrence C.
1980
Some new PDE methods for weak KAM theory. Zbl 1032.37048
Evans, Lawrence C.
2003
A second order elliptic equation with gradient constraint. Zbl 0448.35036
Evans, Lawrence C.
1979
Motion of level sets by mean curvature. IV. Zbl 0829.53040
Evans, Lawrence C.; Spruck, Joel
1995
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
1994
A convergence theorem for solutions of nonlinear second order elliptic equations. Zbl 0408.35037
Evans, Lawrence C.
1978
On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024
Evans, L. C.; Gariepy, R. F.
1999
Application of nonlinear semigroup theory to certain partial differential equations. Zbl 0471.35039
Evans, Lawrence C.
1978
Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091
Evans, L. C.; Portilheiro, M.
2004
Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019
Evans, L. C.; Feldman, M.; Gariepy, R. F.
1997
Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018
Evans, Lawrence C.; Yu, Yifeng
2005
A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022
Brézis, Haïm; Evans, L. C.
1979
Regularity properties for the heat equation subject to nonlinear boundary constraints. Zbl 0369.35034
Evans, Lawrence C.
1977
A survey of entropy methods for partial differential equations. Zbl 1053.35004
Evans, Lawrence C.
2004
Integral estimates for transport densities. Zbl 1068.35170
De Pascale, L.; Evans, L. C.; Pratelli, A.
2004
Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061
Evans, L. C.; Savin, O.; Gangbo, W.
2005
Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039
Alikakos, Nicholas D.; Evans, Lawrence C.
1983
The 1-Laplacian, the $$\infty$$-Laplacian and differential games. Zbl 1200.35114
Evans, Lawrence C.
2007
Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011
Evans, L. C.; Gariepy, R. F.
1987
A remark on infinity harmonic functions. Zbl 0964.35061
Crandall, Michael G.; Evans, L. C.
2001
The Hamiltonian-Jacobi-Bellman equation for time-optimal control. Zbl 0688.49029
Evans, L. C.; James, M. R.
1989
Some min-max methods for the Hamilton-Jacobi equation. Zbl 0543.35012
Evans, Lawrence C.
1984
Further PDE methods for weak KAM theory. Zbl 1179.35102
Evans, Lawrence C.
2009
A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. I. Zbl 0411.76066
Evans, Lawrence C.
1977
Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039
Evans, L. C.; Gomes, D.
2002
Towards a quantum analog of weak KAM theory. Zbl 1073.81037
Evans, Lawrence C.
2004
A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046
Evans, Lawrence C.
2004
Weak KAM theory and partial differential equations. Zbl 1138.49024
Evans, Lawrence C.
2008
A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005
Evans, Lawrence C.
1980
Adjoint methods for the infinity Laplacian partial differential equation. Zbl 1257.35089
Evans, Lawrence C.; Smart, Charles K.
2011
A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040
Evans, L. C.; Souganidis, P. E.
1989
Differential games and nonlinear first order PDE on bounded domains. Zbl 0559.35013
Evans, L. C.; Ishii, H.
1984
A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. II. Zbl 0411.76067
Evans, Lawrence C.
1978
Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143
Evans, L. C.; Gomes, D.
2002
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
2003
Differentiability of a nonlinear semigroup in $$L^1$$. Zbl 0363.47032
Evans, Lawrence C.
1977
An asymptotic model for compression molding. Zbl 1082.76033
Aronsson, G.; Evans, L. C.
2002
Résolution des équations de Hamilton-Jacobi-Bellman pour des opérateurs uniformement elliptiques. Zbl 0461.49017
Evans, Lawrence C.; Lions, Pierre-Louis
1980
Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038
Evans, Lawrence C.
2014
Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032
Evans, Lawrence C.
1993
A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099
Evans, Lawrence C.; Rezakhanlou, Fraydoun
1998
Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023
Evans, Lawrence C.; Lions, Pierre-Louis
1981
The parabolic Bellman equation. Zbl 0467.35059
Evans, Lawrence C.; Lenhart, Suzanne
1981
A singular semilinear equation in $$L^1(R)$$. Zbl 0349.34018
Crandall, Michael G.; Evans, Lawrence C.
1977
A chemical diffusion-reaction free boundary problem. Zbl 0511.35082
Evans, Lawrence C.
1982
Regularity and asymptotic behavior of two immiscible fluids in a one- dimensional porous medium. Zbl 0419.35080
Evans, Lawrence C.; Friedman, Avner
1979
Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021
Evans, Lawrence C.
1997
Asymptotics for scaled Kramers-Smoluchowski equations. Zbl 1362.35154
Evans, Lawrence C.; Tabrizian, Peyam R.
2016
Monotonicity formulae for variational problems. Zbl 1292.35122
Evans, Lawrence C.
2013
Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067
Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung
2016
A geometric interpretation of the heat equation with multivalued initial data. Zbl 0862.35043
Evans, Lawrence C.
1996
Some estimates for nondivergence structure, second order elliptic equations. Zbl 0565.35031
Evans, Lawrence C.
1985
Waiting time effects for Gauss curvature flows. Zbl 0995.53050
Chopp, D.; Evans, L. C.; Ishii, H.
1999
On some singular limits of homogeneous semigroups. Zbl 1035.35026
Bénilan, P.; Evans, L. C.; Gariepy, R. F.
2003
Effective Hamiltonians and quantum states. Zbl 1055.81524
Evans, Lawrence C.
2001
Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081
Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner
1980
Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009
Evans, Lawrence C.; Menaldi, Jose-Luis
1981
An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems. Zbl 0588.35042
Evans, L. C.; Giarrusso, E.
1985
New identities for weak KAM theory. Zbl 1381.37072
Evans, Lawrence Craig
2017
Asymptotics for scaled Kramers-Smoluchowski equations. Zbl 1362.35154
Evans, Lawrence C.; Tabrizian, Peyam R.
2016
Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067
Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung
2016
Weak convergence and averaging for ODE. Zbl 1344.34051
Evans, Lawrence C.; Zhang, Te
2016
Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001
Evans, Lawrence Craig; Gariepy, Ronald F.
2015
Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038
Evans, Lawrence C.
2014
An introduction to stochastic differential equations. Zbl 1416.60002
Evans, Lawrence C.
2013
Monotonicity formulae for variational problems. Zbl 1292.35122
Evans, Lawrence C.
2013
Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034
Evans, Lawrence C.; Smart, Charles K.
2011
Adjoint methods for the infinity Laplacian partial differential equation. Zbl 1257.35089
Evans, Lawrence C.; Smart, Charles K.
2011
Partial differential equations. 2nd ed. Zbl 1194.35001
Evans, Lawrence C.
2010
Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030
Evans, Lawrence C.
2010
Further PDE methods for weak KAM theory. Zbl 1179.35102
Evans, Lawrence C.
2009
A “Lakes and rivers” heuristic metaphor for the singular limit of a nonlinear diffusion PDE. Zbl 1213.35049
Dorfman, Jonathan; Evans, Lawrence C.
2009
The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019
Barron, E. N.; Evans, L. C.; Jensen, R.
2008
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
Weak KAM theory and partial differential equations. Zbl 1138.49024
Evans, Lawrence C.
2008
The 1-Laplacian, the $$\infty$$-Laplacian and differential games. Zbl 1200.35114
Evans, Lawrence C.
2007
Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018
Evans, Lawrence C.; Yu, Yifeng
2005
Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061
Evans, L. C.; Savin, O.; Gangbo, W.
2005
Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091
Evans, L. C.; Portilheiro, M.
2004
A survey of entropy methods for partial differential equations. Zbl 1053.35004
Evans, Lawrence C.
2004
Integral estimates for transport densities. Zbl 1068.35170
De Pascale, L.; Evans, L. C.; Pratelli, A.
2004
Towards a quantum analog of weak KAM theory. Zbl 1073.81037
Evans, Lawrence C.
2004
A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046
Evans, Lawrence C.
2004
Some new PDE methods for weak KAM theory. Zbl 1032.37048
Evans, Lawrence C.
2003
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
2003
On some singular limits of homogeneous semigroups. Zbl 1035.35026
Bénilan, P.; Evans, L. C.; Gariepy, R. F.
2003
Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039
Evans, L. C.; Gomes, D.
2002
Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143
Evans, L. C.; Gomes, D.
2002
An asymptotic model for compression molding. Zbl 1082.76033
Aronsson, G.; Evans, L. C.
2002
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056
Evans, L. C.; Gomes, D.
2001
A remark on infinity harmonic functions. Zbl 0964.35061
Crandall, Michael G.; Evans, L. C.
2001
Effective Hamiltonians and quantum states. Zbl 1055.81524
Evans, Lawrence C.
2001
Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004
Evans, L. C.; Gangbo, W.
1999
Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011
Evans, Lawrence C.
1999
On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024
Evans, L. C.; Gariepy, R. F.
1999
Waiting time effects for Gauss curvature flows. Zbl 0995.53050
Chopp, D.; Evans, L. C.; Ishii, H.
1999
Partial differential equations. Zbl 0902.35002
Evans, Lawrence C.
1998
A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099
Evans, Lawrence C.; Rezakhanlou, Fraydoun
1998
Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019
Evans, L. C.; Feldman, M.; Gariepy, R. F.
1997
Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021
Evans, Lawrence C.
1997
The level set method for etching and deposition. Zbl 0924.35029
Adalsteinsson, D.; Evans, L. C.; Ishii, H.
1997
Fast/slow diffusion and growing sandpiles. Zbl 0864.35057
Aronsson, G.; Evans, L. C.; Wu, Y.
1996
A geometric interpretation of the heat equation with multivalued initial data. Zbl 0862.35043
Evans, Lawrence C.
1996
An unusual minimization principle for parabolic gradient flows. Zbl 0857.35057
Evans, Lawrence C.
1996
Motion of level sets by mean curvature. IV. Zbl 0829.53040
Evans, Lawrence C.; Spruck, Joel
1995
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
1994
Convergence of an algorithm for mean curvature motion. Zbl 0802.65098
Evans, Lawrence C.
1993
Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032
Evans, Lawrence C.
1993
Measure theory and fine properties of functions. Zbl 0804.28001
Evans, Lawrence C.; Gariepy, Ronald F.
1992
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
1992
Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011
Evans, Lawrence C.
1992
Motion of level sets by mean curvature. II. Zbl 0776.53005
Evans, L. C.; Spruck, J.
1992
Motion of level sets by mean curvature. III. Zbl 0768.53003
Evans, L. C.; Spruck, J.
1992
Motion of level sets by mean curvature. I. Zbl 0726.53029
Evans, L. C.; Spruck, J.
1991
Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007
Evans, Lawrence C.
1991
Level sets and motion by mean curvature. Zbl 0823.53011
Evans, Lawrence C.
1991
Weak convergence methods for nonlinear partial differential equations. Expository lectures from the CBMS regional conference held at Loyola University of Chicago, June 27-July 1, 1988. Zbl 0698.35004
Evans, Lawrence C.
1990
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
1990
The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001
Evans, Lawrence C.
1989
A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014
Evans, L. C.; Souganidis, P. E.
1989
The Hamiltonian-Jacobi-Bellman equation for time-optimal control. Zbl 0688.49029
Evans, L. C.; James, M. R.
1989
A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040
Evans, L. C.; Souganidis, P. E.
1989
Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007
Evans, L. C.; Gariepy, R. F.
1987
Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011
Evans, L. C.; Gariepy, R. F.
1987
Quasiconvexity and partial regularity in the calculus of variations. Zbl 0623.49008
Evans, Lawrence C.
1987
Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007
Evans, L. C.; Gariepy, R. F.
1987
Quasiconvexity and partial regularity in the calculus of variations. Zbl 0850.49004
Evans, Lawrence C.
1987
Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006
Evans, Lawrence C.
1986
Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029
Chipot, Michel; Evans, Lawrence C.
1986
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076
Evans, L. C.; Ishii, H.
1985
Some estimates for nondivergence structure, second order elliptic equations. Zbl 0565.35031
Evans, Lawrence C.
1985
An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems. Zbl 0588.35042
Evans, L. C.; Giarrusso, E.
1985
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
1984
Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317
Evans, L. C.; Souganidis, P. E.
1984
On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011
Bardi, M.; Evans, L. C.
1984
Optimal switching for ordinary differential equations. Zbl 0641.49017
Capuzzo Dolcetta, I.; Evans, L. C.
1984
Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104
Barron, E. N.; Evans, L. C.; Jensen, R.
1984
Some min-max methods for the Hamilton-Jacobi equation. Zbl 0543.35012
Evans, Lawrence C.
1984
Differential games and nonlinear first order PDE on bounded domains. Zbl 0559.35013
Evans, L. C.; Ishii, H.
1984
Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080
Caffarelli, L. A.; Evans, L. C.
1983
Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039
Alikakos, Nicholas D.; Evans, Lawrence C.
1983
Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022
Evans, Lawrence C.
1982
A new proof of local $$C^{1,\alpha}$$ regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036
Evans, Lawrence C.
1982
Wiener’s criterion for the heat equation. Zbl 0508.35038
Evans, Lawrence C.; Gariepy, Ronald F.
1982
A chemical diffusion-reaction free boundary problem. Zbl 0511.35082
Evans, Lawrence C.
1982
Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009
Ball, John M.; Evans, Lawrence C.
1982
Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023
Evans, Lawrence C.; Lions, Pierre-Louis
1981
The parabolic Bellman equation. Zbl 0467.35059
Evans, Lawrence C.; Lenhart, Suzanne
1981
Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009
Evans, Lawrence C.; Menaldi, Jose-Luis
1981
On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038
Evans, Lawrence C.
1980
A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005
Evans, Lawrence C.
1980
Résolution des équations de Hamilton-Jacobi-Bellman pour des opérateurs uniformement elliptiques. Zbl 0461.49017
Evans, Lawrence C.; Lions, Pierre-Louis
1980
Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081
Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner
1980
Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046
Evans, Lawrence C.; Friedman, Avner
1979
Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities. Zbl 0403.35052
Evans, Lawrence C.; Knerr, Barry F.
1979
A second order elliptic equation with gradient constraint. Zbl 0448.35036
Evans, Lawrence C.
1979
A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022
Brézis, Haïm; Evans, L. C.
1979
...and 13 more Documents
all top 5

### Cited by 6,995 Authors

 33 Rossi, Julio Daniel 31 Gomes, Diogo Luís Aguiar 29 Souganidis, Panagiotis E. 27 Cannarsa, Piermarco 27 Lions, Pierre-Louis 26 Perthame, Benoît 23 Katzourakis, Nikolaos I. 22 Mazón Ruiz, José M. 22 Yu, Yifeng 20 Lahti, Panu 20 Tran Vinh Hung 19 Crandall, Michael G. 19 Fonseca, Irene 19 Ishii, Hitoshi 18 Caselles Costa, Vicent 18 Igbida, Noureddine 18 Rehberg, Joachim 17 Ambrosio, Luigi 17 Barron, Emmanuel Nicholas 17 Evans, Lawrence Craig 17 Mitake, Hiroyoshi 17 Vazquez, Juan Luis 16 Barles, Guy 16 Byun, Sun-Sig 16 Figalli, Alessio 16 Frankowska, Hélène 16 Osher, Stanley Joel 15 Bressan, Alberto 15 Casado-Díaz, Juan 15 Osmolovskij, V. G. 15 Wang, Hong 14 Auchmuty, Giles 14 Chen, Gui-Qiang G. 14 Giga, Yoshikazu 14 Novaga, Matteo 14 Smarrazzo, Flavia 14 Wang, Changyou 13 Carrillo de la Plata, José Antonio 13 Chambolle, Antonin 13 Conti, Sergio 13 Hajłasz, Piotr 13 Hofmann, Steve 13 Hynd, Ryan 13 Tesei, Alberto 12 Andreu, Fuensanta 12 Feng, Xiaobing 12 Lenhart, Suzanne M. 12 McCann, Robert J. 12 Mirrahimi, Sepideh 12 Müller, Stefan 12 Pedregal, Pablo 12 Ponce, Augusto C. 12 Santambrogio, Filippo 12 Shanmugalingam, Nageswari 12 Soner, Halil Mete 11 Caffarelli, Luis Ángel 11 Cardin, Franco 11 De Philippis, Guido 11 Fragalà, Ilaria 11 Fusco, Nicola 11 Garcke, Harald 11 Kristensen, Jan 11 Liu, Jianguo 11 Marcellini, Paolo 11 Nicholls, David P. 11 Quincampoix, Marc 11 Xiao, Jie 10 Bellettini, Giovanni 10 Bucur, Dorin 10 Cardaliaguet, Pierre 10 Crasta, Graziano 10 Dal Maso, Gianni 10 Gangbo, Wilfrid 10 Goodrich, Christopher S. 10 Kaltenbacher, Barbara 10 Kinnunen, Juha 10 Koskela, Pekka 10 Mayboroda, Svitlana 10 Mingione, Giuseppe 10 Nochetto, Ricardo Horacio 10 Papageorgiou, Nikolaos S. 10 Parviainen, Mikko 10 Pfeffer, Washek Frank 10 Pratelli, Aldo 10 Roquejoffre, Jean-Michel 10 Smart, Charles K. 10 Spector, Daniel E. 9 Armstrong, Scott N. 9 Bögelein, Verena 9 Darbon, Jerome 9 De Pascale, Luigi 9 Garofalo, Nicola 9 Giacomini, Alessandro 9 Henao, Duvan A. 9 Hintermüller, Michael 9 Korobkov, Mikhail V. 9 Lelièvre, Tony 9 Li, Wuchen 9 Majumdar, Apala 9 Malý, Jan ...and 6,895 more Authors
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### Cited in 570 Serials

 247 Calculus of Variations and Partial Differential Equations 219 Archive for Rational Mechanics and Analysis 182 Journal of Mathematical Analysis and Applications 176 Journal of Differential Equations 174 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 122 Transactions of the American Mathematical Society 118 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 113 SIAM Journal on Mathematical Analysis 96 Journal of Functional Analysis 91 Proceedings of the American Mathematical Society 87 Communications in Partial Differential Equations 78 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 76 Journal of Scientific Computing 74 Applied Mathematics and Optimization 65 Communications in Mathematical Physics 65 The Journal of Geometric Analysis 63 Discrete and Continuous Dynamical Systems 57 Mathematics of Computation 56 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Journal de Mathématiques Pures et Appliquées. Neuvième Série 55 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 53 NoDEA. Nonlinear Differential Equations and Applications 51 Advances in Mathematics 50 Numerische Mathematik 49 Nonlinear Analysis. Theory, Methods & Applications 48 Mathematical Methods in the Applied Sciences 47 Mathematische Annalen 47 SIAM Journal on Numerical Analysis 46 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 45 Journal of Optimization Theory and Applications 44 Journal of Mathematical Sciences (New York) 42 SIAM Journal on Control and Optimization 40 ZAMP. Zeitschrift für angewandte Mathematik und Physik 38 Journal of Evolution Equations 36 Communications on Pure and Applied Mathematics 36 Journal of Computational Physics 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 SIAM Journal on Scientific Computing 32 Quarterly of Applied Mathematics 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 31 Discrete and Continuous Dynamical Systems. Series B 30 Journal of Computational and Applied Mathematics 30 Acta Applicandae Mathematicae 30 Journal of Mathematical Imaging and Vision 30 Communications in Contemporary Mathematics 29 Numerical Functional Analysis and Optimization 28 Journal of Statistical Physics 28 SIAM Journal on Applied Mathematics 28 Communications on Pure and Applied Analysis 28 Advances in Calculus of Variations 27 Computers & Mathematics with Applications 27 Nonlinear Analysis. Real World Applications 26 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Manuscripta Mathematica 25 Physica D 24 The Annals of Probability 24 Potential Analysis 23 Journal d’Analyse Mathématique 23 Duke Mathematical Journal 23 Revista Matemática Iberoamericana 23 The Annals of Applied Probability 23 Abstract and Applied Analysis 20 Computer Methods in Applied Mechanics and Engineering 20 Probability Theory and Related Fields 20 Journal of the European Mathematical Society (JEMS) 20 Multiscale Modeling & Simulation 19 Israel Journal of Mathematics 19 Chinese Annals of Mathematics. Series B 19 SIAM Journal on Imaging Sciences 19 Discrete and Continuous Dynamical Systems. Series S 18 Journal of Mathematical Biology 18 Mathematische Zeitschrift 18 Memoirs of the American Mathematical Society 18 Applied Numerical Mathematics 18 Computational Optimization and Applications 18 Advances in Computational Mathematics 18 Boundary Value Problems 17 Applied Mathematics and Computation 17 Inventiones Mathematicae 17 Journal of Elasticity 17 Journal of Nonlinear Science 17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 17 Journal of Hyperbolic Differential Equations 17 Inverse Problems and Imaging 16 European Journal of Applied Mathematics 16 Dynamic Games and Applications 15 Automatica 15 Applied Mathematics Letters 15 Journal of Mathematical Fluid Mechanics 15 Annales Henri Poincaré 15 Analysis and Applications (Singapore) 15 Science China. Mathematics 14 Applicable Analysis 14 Journal of Mathematical Physics 14 Stochastic Processes and their Applications 14 Doklady Mathematics 14 Acta Mathematica Sinica. English Series 14 Journal of Elliptic and Parabolic Equations 13 Archiv der Mathematik 13 Mathematische Nachrichten ...and 470 more Serials
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### Cited in 60 Fields

 3,594 Partial differential equations (35-XX) 1,471 Calculus of variations and optimal control; optimization (49-XX) 887 Numerical analysis (65-XX) 512 Fluid mechanics (76-XX) 461 Probability theory and stochastic processes (60-XX) 392 Mechanics of deformable solids (74-XX) 387 Functional analysis (46-XX) 327 Differential geometry (53-XX) 296 Real functions (26-XX) 293 Operator theory (47-XX) 277 Biology and other natural sciences (92-XX) 247 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 238 Systems theory; control (93-XX) 235 Global analysis, analysis on manifolds (58-XX) 231 Statistical mechanics, structure of matter (82-XX) 212 Measure and integration (28-XX) 200 Potential theory (31-XX) 187 Dynamical systems and ergodic theory (37-XX) 181 Ordinary differential equations (34-XX) 173 Operations research, mathematical programming (90-XX) 114 Information and communication theory, circuits (94-XX) 112 Computer science (68-XX) 110 Functions of a complex variable (30-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 94 Quantum theory (81-XX) 90 Optics, electromagnetic theory (78-XX) 87 Integral equations (45-XX) 87 Convex and discrete geometry (52-XX) 87 Statistics (62-XX) 80 Classical thermodynamics, heat transfer (80-XX) 78 Mechanics of particles and systems (70-XX) 43 Several complex variables and analytic spaces (32-XX) 42 Relativity and gravitational theory (83-XX) 41 Approximations and expansions (41-XX) 34 Geophysics (86-XX) 25 Manifolds and cell complexes (57-XX) 24 General topology (54-XX) 22 Combinatorics (05-XX) 20 Topological groups, Lie groups (22-XX) 19 Special functions (33-XX) 16 Difference and functional equations (39-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Geometry (51-XX) 12 Integral transforms, operational calculus (44-XX) 12 Algebraic topology (55-XX) 12 Astronomy and astrophysics (85-XX) 11 Number theory (11-XX) 7 Abstract harmonic analysis (43-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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