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## Evans, Lawrence Craig

Compute Distance To:
 Author ID: evans.lawrence-craig Published as: Evans, L. C.; Evans, Lawrence; Evans, Lawrence C.; Evans, Lawrence Craig Homepage: https://math.berkeley.edu/~evans/ External Links: MGP · Wikidata · GND
 Documents Indexed: 120 Publications since 1975, including 8 Books Biographic References: 1 Publication
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#### Co-Authors

 15 single-authored 10 Gariepy, Ronald F. 5 Crandall, Michael G. 4 Lions, Pierre-Louis 4 Souganidis, Panagiotis E. 3 Gomes, Diogo Luís Aguiar 2 Aronsson, Gunnar 2 Barron, Emmanuel Nicholas 2 Bénilan, Philippe 2 Chipot, Michel 2 Gangbo, Wilfrid 2 Savin, Ovidiu V. 2 Smart, Charles K. 1 Bardi, Martino 1 Barles, Guy 1 De Pascale, Luigi 1 Dorfman, Jonathan 1 Feldman, Mikhail 1 James, Matthew R. 1 Jensen, Reed 1 Jensen, Ronald Björn 1 Kneuss, Olivier 1 Lenhart, Suzanne M. 1 Pierre, Michel 1 Portilheiro, Manuel 1 Pratelli, Aldo 1 Soner, Halil Mete 1 Sougandis, P. E. 1 Tran Vinh Hung 1 Wu, Yuhuai 1 Yu, Yifeng 1 Zhang, Te
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#### Serials

 7 Calculus of Variations and Partial Differential Equations 5 Archive for Rational Mechanics and Analysis 4 Indiana University Mathematics Journal 4 Transactions of the American Mathematical Society 3 Journal of Differential Equations 2 Communications on Pure and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Graduate Studies in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 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 Regional Conference Series in Mathematics 1 Textbooks in Mathematics
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#### Fields

 48 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 8,837 times in 7,203 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
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
Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001
Evans, Lawrence Craig; Gariepy, Ronald F.
2015
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
Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007
Evans, Lawrence C.
1991
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001
Evans, Lawrence C.
1989
Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006
Evans, Lawrence C.
1986
Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011
Evans, Lawrence C.
1992
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
Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011
Evans, Lawrence C.
1999
Motion of level sets by mean curvature. II. Zbl 0776.53005
Evans, L. C.; Spruck, J.
1992
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
Motion of level sets by mean curvature. III. Zbl 0768.53003
Evans, L. C.; Spruck, J.
1992
Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029
Chipot, Michel; Evans, Lawrence C.
1986
Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080
Caffarelli, L. A.; Evans, L. C.
1983
Optimal switching for ordinary differential equations. Zbl 0641.49017
Capuzzo Dolcetta, I.; Evans, L. C.
1984
The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019
Barron, E. N.; Evans, L. C.; Jensen, R.
2008
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
Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034
Evans, Lawrence C.; Smart, Charles K.
2011
Convergence of an algorithm for mean curvature motion. Zbl 0802.65098
Evans, Lawrence C.
1993
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
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
Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056
Evans, L. C.; Gomes, D.
2001
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
1990
Fast/slow diffusion and growing sandpiles. Zbl 0864.35057
Aronsson, G.; Evans, L. C.; Wu, Y.
1996
Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104
Barron, E. N.; Evans, L. C.; Jensen, R.
1984
Application of nonlinear semigroup theory to certain partial differential equations. Zbl 0471.35039
Evans, Lawrence C.
1978
An introduction to stochastic differential equations. Zbl 1416.60002
Evans, Lawrence C.
2013
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076
Evans, L. C.; Ishii, H.
1985
Motion of level sets by mean curvature. IV. Zbl 0829.53040
Evans, Lawrence C.; Spruck, Joel
1995
On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038
Evans, Lawrence C.
1980
Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030
Evans, Lawrence C.
2010
A second order elliptic equation with gradient constraint. Zbl 0448.35036
Evans, Lawrence C.
1979
Some new PDE methods for weak KAM theory. Zbl 1032.37048
Evans, Lawrence C.
2003
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
Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019
Evans, L. C.; Feldman, M.; Gariepy, R. F.
1997
Regularity properties for the heat equation subject to nonlinear boundary constraints. Zbl 0369.35034
Evans, Lawrence C.
1977
On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024
Evans, L. C.; Gariepy, R. F.
1999
Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039
Alikakos, Nicholas D.; Evans, Lawrence C.
1983
A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022
Brézis, Haïm; Evans, L. C.
1979
Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091
Evans, L. C.; Portilheiro, M.
2004
Integral estimates for transport densities. Zbl 1068.35170
De Pascale, L.; Evans, L. C.; Pratelli, A.
2004
A survey of entropy methods for partial differential equations. Zbl 1053.35004
Evans, Lawrence C.
2004
Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018
Evans, Lawrence C.; Yu, Yifeng
2005
Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011
Evans, L. C.; Gariepy, R. F.
1987
Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061
Evans, L. C.; Savin, O.; Gangbo, W.
2005
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
The 1-Laplacian, the $$\infty$$-Laplacian and differential games. Zbl 1200.35114
Evans, Lawrence C.
2007
Weak KAM theory and partial differential equations. Zbl 1138.49024
Evans, Lawrence C.
2008
Further PDE methods for weak KAM theory. Zbl 1179.35102
Evans, Lawrence C.
2009
A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046
Evans, Lawrence C.
2004
A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. I. Zbl 0411.76066
Evans, Lawrence C.
1977
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
Towards a quantum analog of weak KAM theory. Zbl 1073.81037
Evans, Lawrence C.
2004
Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039
Evans, L. C.; Gomes, D.
2002
Differentiability of a nonlinear semigroup in $$L^1$$. Zbl 0363.47032
Evans, Lawrence C.
1977
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
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
Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038
Evans, Lawrence C.
2014
Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021
Evans, Lawrence C.
1997
Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032
Evans, Lawrence C.
1993
Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023
Evans, Lawrence C.; Lions, Pierre-Louis
1981
A singular semilinear equation in $$L^1(R)$$. Zbl 0349.34018
Crandall, Michael G.; Evans, Lawrence C.
1977
A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099
Evans, Lawrence C.; Rezakhanlou, Fraydoun
1998
A chemical diffusion-reaction free boundary problem. Zbl 0511.35082
Evans, Lawrence C.
1982
The parabolic Bellman equation. Zbl 0467.35059
Evans, Lawrence C.; Lenhart, Suzanne
1981
Regularity and asymptotic behavior of two immiscible fluids in a one- dimensional porous medium. Zbl 0419.35080
Evans, Lawrence C.; Friedman, Avner
1979
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
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
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
Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009
Evans, Lawrence C.; Menaldi, Jose-Luis
1981
Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081
Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner
1980
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
Waiting time effects for Gauss curvature flows. Zbl 0995.53050
Chopp, D.; Evans, L. C.; Ishii, H.
1999
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 0623.49008
Evans, Lawrence C.
1987
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
Integral estimates for transport densities. Zbl 1068.35170
De Pascale, L.; Evans, L. C.; Pratelli, A.
2004
A survey of entropy methods for partial differential equations. Zbl 1053.35004
Evans, Lawrence C.
2004
A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046
Evans, Lawrence C.
2004
Towards a quantum analog of weak KAM theory. Zbl 1073.81037
Evans, Lawrence C.
2004
Some new PDE methods for weak KAM theory. Zbl 1032.37048
Evans, Lawrence C.
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
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 0623.49008
Evans, Lawrence C.
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
Continuity of the temperature in two-phase Stefan problems. Zbl 0511.35051
Caffarelli, L. A.; Evans, L. 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
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#### Cited by 7,920 Authors

 47 Souganidis, Panagiotis E. 41 Lions, Pierre-Louis 33 Evans, Lawrence Craig 33 Rossi, Julio Daniel 30 Perthame, Benoît 28 Gomes, Diogo Luís Aguiar 28 Ishii, Hitoshi 27 Tran Vinh Hung 26 Caffarelli, Luis Ángel 26 Cannarsa, Piermarco 26 Giga, Yoshikazu 25 Yu, Yifeng 24 Caselles Costa, Vicent 24 Mazón Ruiz, José M. 24 Wang, Changyou 23 Crandall, Michael G. 23 Osher, Stanley Joel 22 Barles, Guy 22 Figalli, Alessio 22 Katzourakis, Nikolaos I. 22 Novaga, Matteo 22 Vazquez, Juan Luis 20 Ambrosio, Luigi 20 Fonseca, Irene 19 Barron, Emmanuel Nicholas 19 Mingione, Giuseppe 19 Mitake, Hiroyoshi 18 Chen, Gui-Qiang G. 18 Lahti, Panu 18 Soner, Halil Mete 18 Wang, Lihe 17 Byun, Sun-Sig 17 Cardaliaguet, Pierre 17 Igbida, Noureddine 17 Lenhart, Suzanne M. 17 Rehberg, Joachim 16 Chambolle, Antonin 16 Müller, Stefan 16 Slodička, Marián 15 Andreu, Fuensanta 15 Bardi, Martino 15 Bellettini, Giovanni 15 Bressan, Alberto 15 Diaz Diaz, Jesus Ildefonso 15 Monneau, Régis 15 Parviainen, Mikko 14 Armstrong, Scott N. 14 Auchmuty, Giles 14 Casado-Díaz, Juan 14 Kristensen, Jan 14 Kunisch, Karl 14 Xu, Xiangsheng 13 Alikakos, Nicholas D. 13 Chen, Xinfu 13 Conti, Sergio 13 Fusco, Nicola 13 Kim, Inwon Christina 13 Marcellini, Paolo 13 Nochetto, Ricardo Horacio 13 Teixeira, Eduardo V. O. 13 Valdinoci, Enrico 12 Carrillo de la Plata, José Antonio 12 Duzaar, Frank 12 Feng, Xiaobing 12 Frankowska, Hélène 12 Hynd, Ryan 12 Lin, Fang Hua 12 Liu, Qing 12 Pedregal, Pablo 12 Ponce, Augusto C. 12 Pratelli, Aldo 12 Quincampoix, Marc 12 Santambrogio, Filippo 12 Smarrazzo, Flavia 12 Smart, Charles K. 12 Wang, Hong 12 Wang, Xu-Jia 11 Burger, Martin 11 Chen, Caisheng 11 Gangbo, Wilfrid 11 Hilhorst, Danielle 11 Liu, Jianguo 11 Manfredi, Juan J. 11 McCann, Robert J. 11 Mirrahimi, Sepideh 11 Oberman, Adam M. 11 Röger, Matthias 11 Roquejoffre, Jean-Michel 11 Scherzer, Otmar 11 Shanmugalingam, Nageswari 11 Tesei, Alberto 11 Wang, Dehua 11 Wei, Juncheng 10 Bucur, Dorin 10 Camilli, Fabio 10 Dacorogna, Bernard 10 Dal Maso, Gianni 10 Fragalà, Ilaria 10 Frid, Hermano 10 Garcke, Harald ...and 7,820 more Authors
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#### Cited in 559 Serials

 314 Journal of Differential Equations 309 Journal of Mathematical Analysis and Applications 288 Calculus of Variations and Partial Differential Equations 275 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 252 Archive for Rational Mechanics and Analysis 150 Communications in Partial Differential Equations 142 Transactions of the American Mathematical Society 140 Journal of Functional Analysis 117 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 113 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 108 Nonlinear Analysis. Theory, Methods & Applications 106 Proceedings of the American Mathematical Society 99 SIAM Journal on Mathematical Analysis 96 Journal de Mathématiques Pures et Appliquées. Neuvième Série 91 Journal of Computational Physics 80 Applied Mathematics and Optimization 76 Journal of Scientific Computing 75 Advances in Mathematics 73 Discrete and Continuous Dynamical Systems 72 Annali di Matematica Pura ed Applicata. Serie Quarta 71 The Journal of Geometric Analysis 67 Mathematische Annalen 64 Communications in Mathematical Physics 63 Journal of Mathematical Sciences (New York) 59 Communications on Pure and Applied Mathematics 59 Mathematics of Computation 59 Journal of Computational and Applied Mathematics 54 Nonlinear Analysis. Real World Applications 51 Mathematical Methods in the Applied Sciences 51 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 51 NoDEA. Nonlinear Differential Equations and Applications 49 Applied Mathematics and Computation 47 Journal of Optimization Theory and Applications 47 Numerische Mathematik 46 Computers & Mathematics with Applications 44 Physica D 44 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 43 SIAM Journal on Numerical Analysis 43 Comptes Rendus. Mathématique. Académie des Sciences, Paris 41 SIAM Journal on Control and Optimization 38 ZAMP. Zeitschrift für angewandte Mathematik und Physik 37 Manuscripta Mathematica 37 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 36 Journal of Evolution Equations 35 Communications in Contemporary Mathematics 33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 32 Numerical Functional Analysis and Optimization 32 Applied Numerical Mathematics 32 Communications on Pure and Applied Analysis 31 Quarterly of Applied Mathematics 31 SIAM Journal on Scientific Computing 30 Computer Methods in Applied Mechanics and Engineering 30 Duke Mathematical Journal 30 Discrete and Continuous Dynamical Systems. Series S 29 Journal of Statistical Physics 29 Discrete and Continuous Dynamical Systems. Series B 28 Potential Analysis 28 Abstract and Applied Analysis 27 Journal d’Analyse Mathématique 27 Acta Applicandae Mathematicae 27 Applied Mathematics Letters 27 Stochastic Processes and their Applications 26 The Annals of Probability 25 Journal of Mathematical Physics 25 SIAM Journal on Applied Mathematics 25 Advances in Calculus of Variations 24 The Annals of Applied Probability 23 Israel Journal of Mathematics 23 Revista Matemática Iberoamericana 23 Journal of Mathematical Imaging and Vision 22 Inventiones Mathematicae 22 Systems & Control Letters 22 Journal of the European Mathematical Society (JEMS) 21 Automatica 21 Chinese Annals of Mathematics. Series B 20 Bulletin of the American Mathematical Society. New Series 19 Applicable Analysis 19 Mathematische Zeitschrift 19 Probability Theory and Related Fields 19 European Journal of Applied Mathematics 18 Acta Mathematicae Applicatae Sinica. English Series 18 Computational Optimization and Applications 18 SIAM Journal on Imaging Sciences 17 Journal of Mathematical Biology 17 Journal of Elasticity 17 Advances in Computational Mathematics 17 Acta Mathematica Sinica. English Series 17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 17 Boundary Value Problems 16 Zeitschrift für Analysis und ihre Anwendungen 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Annales Henri Poincaré 15 Journal für die Reine und Angewandte Mathematik 15 Memoirs of the American Mathematical Society 15 Journal of Nonlinear Science 15 Inverse Problems and Imaging 14 Mathematische Nachrichten 14 Rendiconti del Seminario Matematico della Università di Padova 14 Doklady Mathematics 14 Interfaces and Free Boundaries ...and 459 more Serials
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#### Cited in 61 Fields

 4,515 Partial differential equations (35-XX) 1,671 Calculus of variations and optimal control; optimization (49-XX) 970 Numerical analysis (65-XX) 623 Fluid mechanics (76-XX) 516 Probability theory and stochastic processes (60-XX) 489 Differential geometry (53-XX) 439 Mechanics of deformable solids (74-XX) 407 Functional analysis (46-XX) 355 Global analysis, analysis on manifolds (58-XX) 354 Operator theory (47-XX) 331 Systems theory; control (93-XX) 309 Biology and other natural sciences (92-XX) 292 Real functions (26-XX) 267 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 259 Statistical mechanics, structure of matter (82-XX) 229 Ordinary differential equations (34-XX) 208 Dynamical systems and ergodic theory (37-XX) 201 Potential theory (31-XX) 183 Measure and integration (28-XX) 169 Operations research, mathematical programming (90-XX) 127 Classical thermodynamics, heat transfer (80-XX) 111 Computer science (68-XX) 110 Information and communication theory, circuits (94-XX) 108 Optics, electromagnetic theory (78-XX) 105 Functions of a complex variable (30-XX) 104 Integral equations (45-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 101 Quantum theory (81-XX) 89 Mechanics of particles and systems (70-XX) 79 Convex and discrete geometry (52-XX) 76 Statistics (62-XX) 59 Several complex variables and analytic spaces (32-XX) 46 Relativity and gravitational theory (83-XX) 44 Approximations and expansions (41-XX) 40 Geophysics (86-XX) 26 General topology (54-XX) 23 Combinatorics (05-XX) 22 Manifolds and cell complexes (57-XX) 21 Special functions (33-XX) 21 Difference and functional equations (39-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 18 Topological groups, Lie groups (22-XX) 15 Integral transforms, operational calculus (44-XX) 15 Algebraic topology (55-XX) 15 Astronomy and astrophysics (85-XX) 12 Geometry (51-XX) 10 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 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 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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