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Crandall, Michael G.

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Author ID: crandall.michael-g Recent zbMATH articles by "Crandall, Michael G."
Published as: Crandall, M. G.; Crandall, Michael; Crandall, Michael G.
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Documents Indexed: 108 Publications since 1967, including 3 Books

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102 Publications have been cited 8,349 times in 6,003 Documents Cited by Year
User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
1992
Bifurcation from simple eigenvalues. Zbl 0219.46015
Crandall, M. G.; Rabinowitz, P. H.
821
1971
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
743
1983
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
415
1971
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
368
1973
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
339
1984
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
295
1977
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
235
1982
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
189
1975
A tour of the theory of absolutely minimizing functions. Zbl 1150.35047
Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri
152
2004
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
140
1984
Nonlinear evolution equations in Banach spaces. Zbl 0249.34049
Crandall, M. G.; Pazy, A.
132
1972
A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077
Benilan, Philippe; Brézis, Haïm; Crandall, Michael G.
131
1975
On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032
Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A.
127
1996
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
116
1980
Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501
Brézis, Haïm; Crandall, M. G.; Pazy, A.
113
1970
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
109
2001
Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903
Crandall, M. G.; Pazy, A.
109
1969
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
105
1978
Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045
Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel
99
1984
The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012
Benilan, Philippe; Crandall, Michael G.
99
1981
The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020
Crandall, Michael G.; Rabinowitz, Paul H.
86
1977
Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054
Brézis, Haïm; Crandall, Michael G.
81
1979
Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059
Crandall, Michael G.; Tartar, Luc
73
1980
The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018
Crandall, Michael G.
72
1972
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
57
1985
\(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097
Crandall, M. G.; Kocan, M.; Świȩch, A.
54
2000
Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705
Crandall, M. G.; Rabinowitz, P. H.
54
1970
Viscosity solutions: A primer. Zbl 0901.49026
Crandall, Michael G.
52
1997
Completely accretive operators. Zbl 0895.47036
Benilan, Ph.; Crandall, M. G.
50
1991
An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035
Crandall, M. G.; Nohel, J. A.
49
1978
On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016
Crandall, Michael G.; Lions, Pierre-Louis
47
1986
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.
46
1975
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
44
1980
Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039
Crandall, Michael G.
42
1986
Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043
Benilan, Philippe; Crandall, Michael G.; Sacks, Paul
41
1988
Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021
Crandall, Michael G.; Lions, Pierre-Louis
41
1986
An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023
Crandall, M. G.; Londen, S.-O.; Nohel, J. A.
41
1978
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016
Crandall, Michael G.; Lions, P. L.
40
1990
Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076
Crandall, Michael; Pierre, Michel
40
1982
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
37
1987
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029
Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A.
36
1999
The maximum principle for semicontinuous functions. Zbl 0723.35015
Crandall, Michael G.; Ishii, Hitoshi
35
1990
An introduction to evolution governed by accretive operators. Zbl 0339.35049
Crandall, Michael G.
35
1976
A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084
Crandall, Michael G.
35
1972
A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112
Crandall, Michael G.
34
2008
Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015
Crandall, Michael G.; Lions, Pierre-Louis
32
1986
Regularizing effects of homogeneous evolution equations. Zbl 0556.35067
Bénilan, Philippe; Crandall, Michael G.
32
1981
Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023
Crandall, Michael G.; Lions, Pierre-Louis
31
1981
A generalized domain for semigroup generators. Zbl 0285.47044
Crandall, Michael G.
31
1973
Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009
Crandall, Michael G.; Lions, Pierre-Louis
26
1987
An efficient derivation of the Aronsson equation. Zbl 1090.35067
Crandall, Michael G.
25
2003
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017
Crandall, Michael G.; Lions, P. L.
25
1991
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025
Crandall, M. G.; Lions, P. L.
23
1994
Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048
Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong
22
2007
A remark on infinity harmonic functions. Zbl 0964.35061
Crandall, Michael G.; Evans, L. C.
21
2001
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
21
1989
Differential equations on convex sets. Zbl 0224.34006
Crandall, Michael G.
21
1970
Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118
Crandall, M. G.; Lions, P. L.
19
1993
On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031
Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A.
18
1996
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066
Crandall, Michael G.; Lions, Pierre-Louis
18
1996
On the range of accretive operators. Zbl 0355.47039
Crandall, Michael G.; Pazy, Amnon
18
1977
On accretive sets in Banach spaces. Zbl 0198.18503
Crandall, M. G.; Pazy, A.
17
1970
Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033
Crandall, Michael G.
16
1989
“Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013
Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon
14
1988
Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008
Crandall, Michael G.; Newcomb, Richard
14
1985
On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901
Crandall, M. G.; Pazy, A.
14
1969
Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024
Caffarelli, Luis A.; Crandall, Michael G.
13
2010
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
13
1968
Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020
Crandall, Michael G.; Wang, Changyou; Yu, Yifeng
12
2009
Another way to say caloric. Zbl 1052.35012
Crandall, Michael G.; Wang, Pei-Yong
12
2003
Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091
Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A.
12
1998
Remarks on generators of analytic semigroups. Zbl 0436.47028
Crandall, M. G.; Pazy, A.; Tartar, L.
12
1979
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
11
1971
Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101
Crandall, M. G.
11
1969
Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002
Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K.
10
2011
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
10
1986
Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066
Crandall, Michael G.
9
1971
Regularizing effects for u//t=Delta phi(u). Zbl 0508.35043
Crandall, Michael G.; Pierre, Michel
8
1982
A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024
Crandall, M. G.; Świȩch, A.
7
2003
Another way to say harmonic. Zbl 1112.35319
Crandall, Michael G.; Zhang, Jianying
7
2003
On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036
Crandall, M. G.; Kocan, M.; Swiech, A.
7
1994
Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073
Crandall, Michael G.; Lions, P. L.
7
1990
Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022
Crandall, Michael G.; Lions, Pierre-Louis
7
1984
A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018
Crandall, Michael G.; Evans, Lawrence C.
7
1977
Two families of periodic solutions of the plane four-body problem. Zbl 0189.24603
Crandall, Michael G.
6
1967
On nonlinear equations of evolution. Zbl 0686.47048
Crandall, Michael G.; Souganidis, Panagiotis E.
5
1989
An approximation of integrable functions by step functions with an application. Zbl 0415.41009
Crandall, M. G.; Pazy, A.
4
1979
Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044
Crandall, Michael G.; Newcomb, Richard T. II; Tomita, Yoshihito
3
1989
Solutions de viscosité pour les équations de Hamilton-Jacobi dans des espaces de Banach. (Viscosity solutions of Hamilton-Jacobi equations in Banach spaces). Zbl 0588.35018
Crandall, Michael G.; Lions, Pierre-Louis
3
1985
Boundary value problems for symmetric positive differential operators of odd order. Zbl 0157.40902
Crandall, M. G.
3
1968
A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044
Crandall, Michael G.
2
1985
Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011
Crandall, Michael G.; Souganidis, Panagiotis E.
2
1984
Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006
Caffarelli, Luis A.; Crandall, Michael G.
1
2014
The problem of two sticks. Zbl 1257.46009
Caffarelli, Luis A.; Crandall, Michael G.
1
2012
On nonuniqueness of viscosity solutions. Zbl 0758.34013
Crandall, Michael G.; Huan, Zhongdan
1
1992
Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010
Crandall, Michael G.; Lions, Pierre-Louis
1
1985
Mathematical theory of bifurcation. Zbl 0445.34002
Crandall, Michael G.; Rabinowitz, Paul H.
1
1980
Nonlinear evolution equations. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin-Madison, October 17-19, 1977. Zbl 0456.00016
Crandall, Michael G. (ed.)
1
1978
The principle of exchange of stability. Zbl 0537.34044
Crandall, Michael G.; Rabinowitz, Paul H.
1
1977
Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006
Caffarelli, Luis A.; Crandall, Michael G.
1
2014
The problem of two sticks. Zbl 1257.46009
Caffarelli, Luis A.; Crandall, Michael G.
1
2012
Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002
Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K.
10
2011
Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024
Caffarelli, Luis A.; Crandall, Michael G.
13
2010
Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020
Crandall, Michael G.; Wang, Changyou; Yu, Yifeng
12
2009
A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112
Crandall, Michael G.
34
2008
Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048
Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong
22
2007
A tour of the theory of absolutely minimizing functions. Zbl 1150.35047
Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri
152
2004
An efficient derivation of the Aronsson equation. Zbl 1090.35067
Crandall, Michael G.
25
2003
Another way to say caloric. Zbl 1052.35012
Crandall, Michael G.; Wang, Pei-Yong
12
2003
A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024
Crandall, M. G.; Świȩch, A.
7
2003
Another way to say harmonic. Zbl 1112.35319
Crandall, Michael G.; Zhang, Jianying
7
2003
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
109
2001
A remark on infinity harmonic functions. Zbl 0964.35061
Crandall, Michael G.; Evans, L. C.
21
2001
\(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097
Crandall, M. G.; Kocan, M.; Świȩch, A.
54
2000
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029
Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A.
36
1999
Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091
Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A.
12
1998
Viscosity solutions: A primer. Zbl 0901.49026
Crandall, Michael G.
52
1997
On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032
Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A.
127
1996
On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031
Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A.
18
1996
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066
Crandall, Michael G.; Lions, Pierre-Louis
18
1996
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025
Crandall, M. G.; Lions, P. L.
23
1994
On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036
Crandall, M. G.; Kocan, M.; Swiech, A.
7
1994
Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118
Crandall, M. G.; Lions, P. L.
19
1993
User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
1992
On nonuniqueness of viscosity solutions. Zbl 0758.34013
Crandall, Michael G.; Huan, Zhongdan
1
1992
Completely accretive operators. Zbl 0895.47036
Benilan, Ph.; Crandall, M. G.
50
1991
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017
Crandall, Michael G.; Lions, P. L.
25
1991
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016
Crandall, Michael G.; Lions, P. L.
40
1990
The maximum principle for semicontinuous functions. Zbl 0723.35015
Crandall, Michael G.; Ishii, Hitoshi
35
1990
Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073
Crandall, Michael G.; Lions, P. L.
7
1990
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
21
1989
Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033
Crandall, Michael G.
16
1989
On nonlinear equations of evolution. Zbl 0686.47048
Crandall, Michael G.; Souganidis, Panagiotis E.
5
1989
Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044
Crandall, Michael G.; Newcomb, Richard T. II; Tomita, Yoshihito
3
1989
Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043
Benilan, Philippe; Crandall, Michael G.; Sacks, Paul
41
1988
“Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013
Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon
14
1988
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
37
1987
Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009
Crandall, Michael G.; Lions, Pierre-Louis
26
1987
On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016
Crandall, Michael G.; Lions, Pierre-Louis
47
1986
Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039
Crandall, Michael G.
42
1986
Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021
Crandall, Michael G.; Lions, Pierre-Louis
41
1986
Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015
Crandall, Michael G.; Lions, Pierre-Louis
32
1986
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
10
1986
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
57
1985
Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008
Crandall, Michael G.; Newcomb, Richard
14
1985
Solutions de viscosité pour les équations de Hamilton-Jacobi dans des espaces de Banach. (Viscosity solutions of Hamilton-Jacobi equations in Banach spaces). Zbl 0588.35018
Crandall, Michael G.; Lions, Pierre-Louis
3
1985
A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044
Crandall, Michael G.
2
1985
Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010
Crandall, Michael G.; Lions, Pierre-Louis
1
1985
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
339
1984
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
140
1984
Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045
Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel
99
1984
Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022
Crandall, Michael G.; Lions, Pierre-Louis
7
1984
Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011
Crandall, Michael G.; Souganidis, Panagiotis E.
2
1984
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
743
1983
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
235
1982
Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076
Crandall, Michael; Pierre, Michel
40
1982
Regularizing effects for u//t=Delta phi(u). Zbl 0508.35043
Crandall, Michael G.; Pierre, Michel
8
1982
The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012
Benilan, Philippe; Crandall, Michael G.
99
1981
Regularizing effects of homogeneous evolution equations. Zbl 0556.35067
Bénilan, Philippe; Crandall, Michael G.
32
1981
Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023
Crandall, Michael G.; Lions, Pierre-Louis
31
1981
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
116
1980
Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059
Crandall, Michael G.; Tartar, Luc
73
1980
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
44
1980
Mathematical theory of bifurcation. Zbl 0445.34002
Crandall, Michael G.; Rabinowitz, Paul H.
1
1980
Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054
Brézis, Haïm; Crandall, Michael G.
81
1979
Remarks on generators of analytic semigroups. Zbl 0436.47028
Crandall, M. G.; Pazy, A.; Tartar, L.
12
1979
An approximation of integrable functions by step functions with an application. Zbl 0415.41009
Crandall, M. G.; Pazy, A.
4
1979
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
105
1978
An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035
Crandall, M. G.; Nohel, J. A.
49
1978
An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023
Crandall, M. G.; Londen, S.-O.; Nohel, J. A.
41
1978
Nonlinear evolution equations. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin-Madison, October 17-19, 1977. Zbl 0456.00016
Crandall, Michael G. (ed.)
1
1978
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
295
1977
The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020
Crandall, Michael G.; Rabinowitz, Paul H.
86
1977
On the range of accretive operators. Zbl 0355.47039
Crandall, Michael G.; Pazy, Amnon
18
1977
A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018
Crandall, Michael G.; Evans, Lawrence C.
7
1977
The principle of exchange of stability. Zbl 0537.34044
Crandall, Michael G.; Rabinowitz, Paul H.
1
1977
An introduction to evolution governed by accretive operators. Zbl 0339.35049
Crandall, Michael G.
35
1976
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
189
1975
A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077
Benilan, Philippe; Brézis, Haïm; Crandall, Michael G.
131
1975
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.
46
1975
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
368
1973
A generalized domain for semigroup generators. Zbl 0285.47044
Crandall, Michael G.
31
1973
Nonlinear evolution equations in Banach spaces. Zbl 0249.34049
Crandall, M. G.; Pazy, A.
132
1972
The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018
Crandall, Michael G.
72
1972
A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084
Crandall, Michael G.
35
1972
Bifurcation from simple eigenvalues. Zbl 0219.46015
Crandall, M. G.; Rabinowitz, P. H.
821
1971
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
415
1971
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
11
1971
Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066
Crandall, Michael G.
9
1971
Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501
Brézis, Haïm; Crandall, M. G.; Pazy, A.
113
1970
Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705
Crandall, M. G.; Rabinowitz, P. H.
54
1970
Differential equations on convex sets. Zbl 0224.34006
Crandall, Michael G.
21
1970
On accretive sets in Banach spaces. Zbl 0198.18503
Crandall, M. G.; Pazy, A.
17
1970
Multiple solutions of a nonlinear integral equation. Zbl 0194.14001
Crandall, M. G.; Rabinowitz, P. H.
1
1970
Semi-groups of contractions and monotonicity. Zbl 0193.10903
Crandall, M. G.
1
1970
Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903
Crandall, M. G.; Pazy, A.
109
1969
On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901
Crandall, M. G.; Pazy, A.
14
1969
Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101
Crandall, M. G.
11
1969
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
13
1968
...and 2 more Documents
all top 5

Cited by 5,254 Authors

59 Vazquez, Juan Luis
54 Lions, Pierre-Louis
54 Rossi, Julio Daniel
43 Crandall, Michael G.
43 Ishii, Hitoshi
43 Souganidis, Panagiotis E.
41 Shi, Junping
41 Wu, Jianhua
38 Barles, Guy
32 López-Gómez, Julián
30 Reich, Simeon
29 Quaas, Alexander
28 Diaz Diaz, Jesus Ildefonso
28 Giga, Yoshikazu
26 Perthame, Benoît
26 Świȩch, Andrzej
24 Agarwal, Ravi P.
24 Wong, Patricia J. Y.
23 Cardaliaguet, Pierre
23 Kartsatos, Athanassios G.
23 Mazón Ruiz, José M.
22 Soner, Halil Mete
21 Barbu, Viorel
21 Monneau, Régis
21 Peletier, Lambertus Adrianus
20 Cannarsa, Piermarco
20 Jakobsen, Espen Robstad
20 Osher, Stanley Joel
20 Vitolo, Antonio
19 Armstrong, Scott N.
19 Barron, Emmanuel Nicholas
19 Caselles Costa, Vicent
19 Sirakov, Boyan Slavchev
19 Touzi, Nizar
18 Bardi, Martino
18 Katzourakis, Nikolaos I.
18 Krylov, Nicolaĭ Vladimirovich
18 Manfredi, Juan J.
18 Zhang, Zhijun
17 Bertsch, Michiel
17 Capuzzo Dolcetta, Italo
17 Evans, Lawrence Craig
17 Frankowska, Hélène
17 Karlsen, Kenneth Hvistendahl
17 Korman, Philip L.
17 Li, Shanbing
17 Nie, Hua
17 Zhang, Jianfeng
16 Andreu, Fuensanta
16 Buckdahn, Rainer
16 Kim, Inwon Christina
16 Peral Alonso, Ireneo
16 Suárez, Antonio
15 Li, Juan
15 Mohammed, Ahmed
15 Punzo, Fabio
15 Smart, Charles K.
15 Topp, Erwin
15 Wang, Mingxin
14 Birindelli, Isabeau
14 Dancer, Edward Norman
14 Juutinen, Petri
14 Koike, Shigeaki
14 Ley, Olivier
14 Mitake, Hiroyoshi
14 Oberman, Adam M.
14 Pazy, Amnon
14 Qian, Jianliang
14 Quirós Gracián, Fernando
14 Tanaka, Naoki
14 Teixeira, Eduardo V. O.
14 Tesei, Alberto
14 Webb, Glenn Francis
13 Bonforte, Matteo
13 Caffarelli, Luis Ángel
13 Chasseigne, Emmanuel
13 Falcone, Maurizio
13 Feng, Xiaobing
13 Gozzi, Fausto
13 Imbert, Cyril
13 Liu, Qing
13 Risebro, Nils Henrik
13 Shu, Chi-Wang
12 Akagi, Goro
12 Bayraktar, Erhan
12 Bouchard, Bruno
12 Brown, Kenneth J.
12 da Silva, João Vítor
12 Du, Yihong
12 Healey, Timothy J.
12 Igbida, Noureddine
12 Kawohl, Bernd
12 Kielhöfer, Hansjörg
12 Kurzhanskiĭ, Aleksandr Borisovich
12 Kuto, Kousuke
12 Miyamoto, Yasuhito
12 Peng, Shige
12 Rădulescu, Vicenţiu D.
12 Tran Vinh Hung
12 Yu, Yifeng
...and 5,154 more Authors
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Cited in 499 Serials

429 Journal of Differential Equations
383 Journal of Mathematical Analysis and Applications
349 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
279 Nonlinear Analysis. Theory, Methods & Applications
146 Archive for Rational Mechanics and Analysis
139 Communications in Partial Differential Equations
127 Transactions of the American Mathematical Society
120 Calculus of Variations and Partial Differential Equations
119 Journal of Functional Analysis
103 Proceedings of the American Mathematical Society
95 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
83 Journal of Computational Physics
75 Journal de Mathématiques Pures et Appliquées. Neuvième Série
75 Discrete and Continuous Dynamical Systems
66 NoDEA. Nonlinear Differential Equations and Applications
63 Applied Mathematics and Optimization
61 Computers & Mathematics with Applications
56 Mathematics of Computation
56 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
55 Nonlinear Analysis. Real World Applications
53 Applicable Analysis
51 Israel Journal of Mathematics
51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
50 Stochastic Processes and their Applications
49 Journal of Scientific Computing
48 Annali di Matematica Pura ed Applicata. Serie Quarta
48 Applied Mathematics and Computation
47 Journal of Computational and Applied Mathematics
47 Journal of Optimization Theory and Applications
44 Advances in Mathematics
44 Numerische Mathematik
42 Mathematische Annalen
40 Communications on Pure and Applied Analysis
35 Comptes Rendus. Mathématique. Académie des Sciences, Paris
34 Communications in Contemporary Mathematics
33 Proceedings of the Japan Academy. Series A
31 SIAM Journal on Mathematical Analysis
31 Discrete and Continuous Dynamical Systems. Series B
28 SIAM Journal on Control and Optimization
26 Mathematical Methods in the Applied Sciences
26 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
26 Systems & Control Letters
26 Journal of Dynamics and Differential Equations
25 Automatica
25 Applied Mathematics Letters
25 Journal of Evolution Equations
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
24 The Annals of Probability
24 Acta Applicandae Mathematicae
23 Communications on Pure and Applied Mathematics
23 Journal d’Analyse Mathématique
23 Applied Numerical Mathematics
23 Boundary Value Problems
22 Journal of Mathematical Biology
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Journal of Mathematical Sciences (New York)
21 Potential Analysis
20 Communications in Mathematical Physics
20 Manuscripta Mathematica
20 Advanced Nonlinear Studies
19 Abstract and Applied Analysis
19 Proceedings of the Japan Academy
19 Complex Variables and Elliptic Equations
18 The Annals of Applied Probability
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Journal of Mathematical Physics
17 Finance and Stochastics
17 Advances in Nonlinear Analysis
16 Mathematische Zeitschrift
16 Numerical Functional Analysis and Optimization
16 Chinese Annals of Mathematics. Series B
16 Physica D
16 Proceedings of the Steklov Institute of Mathematics
15 Nonlinearity
15 Rocky Mountain Journal of Mathematics
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
14 Duke Mathematical Journal
14 SIAM Journal on Numerical Analysis
14 Probability Theory and Related Fields
14 Japan Journal of Industrial and Applied Mathematics
14 Discrete and Continuous Dynamical Systems. Series S
13 Journal of Applied Mathematics and Mechanics
13 Tohoku Mathematical Journal. Second Series
13 Stochastic Analysis and Applications
13 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Acta Mathematicae Applicatae Sinica. English Series
13 Revista Matemática Iberoamericana
13 Bulletin of the American Mathematical Society. New Series
13 Journal of the European Mathematical Society (JEMS)
13 Acta Mathematica Sinica. English Series
13 Mediterranean Journal of Mathematics
12 Rendiconti del Seminario Matematico della Università di Padova
12 Journal of Economic Dynamics & Control
12 Mathematical and Computer Modelling
12 SIAM Journal on Financial Mathematics
12 Science China. Mathematics
11 Bulletin of the Australian Mathematical Society
11 Mathematical Notes
11 Semigroup Forum
11 Applied Mathematics and Mechanics. (English Edition)
...and 399 more Serials
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Cited in 58 Fields

3,995 Partial differential equations (35-XX)
1,099 Calculus of variations and optimal control; optimization (49-XX)
842 Operator theory (47-XX)
643 Numerical analysis (65-XX)
620 Ordinary differential equations (34-XX)
482 Probability theory and stochastic processes (60-XX)
422 Biology and other natural sciences (92-XX)
418 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
410 Systems theory; control (93-XX)
341 Fluid mechanics (76-XX)
226 Global analysis, analysis on manifolds (58-XX)
199 Dynamical systems and ergodic theory (37-XX)
160 Integral equations (45-XX)
140 Operations research, mathematical programming (90-XX)
129 Differential geometry (53-XX)
127 Mechanics of deformable solids (74-XX)
123 Functional analysis (46-XX)
103 Mechanics of particles and systems (70-XX)
101 Statistical mechanics, structure of matter (82-XX)
85 Real functions (26-XX)
60 Classical thermodynamics, heat transfer (80-XX)
53 Potential theory (31-XX)
45 Computer science (68-XX)
45 Information and communication theory, circuits (94-XX)
42 Difference and functional equations (39-XX)
40 Optics, electromagnetic theory (78-XX)
35 Quantum theory (81-XX)
30 Geophysics (86-XX)
29 Several complex variables and analytic spaces (32-XX)
24 Measure and integration (28-XX)
23 Convex and discrete geometry (52-XX)
22 General topology (54-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
12 Approximations and expansions (41-XX)
12 Algebraic topology (55-XX)
12 Statistics (62-XX)
12 Relativity and gravitational theory (83-XX)
11 Topological groups, Lie groups (22-XX)
8 Functions of a complex variable (30-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Astronomy and astrophysics (85-XX)
7 Group theory and generalizations (20-XX)
6 Combinatorics (05-XX)
6 Abstract harmonic analysis (43-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Mathematical logic and foundations (03-XX)
4 Number theory (11-XX)
4 Algebraic geometry (14-XX)
4 Manifolds and cell complexes (57-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Nonassociative rings and algebras (17-XX)
3 Integral transforms, operational calculus (44-XX)
2 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1
1 Geometry (51-XX)
1 Mathematics education (97-XX)

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