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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, Michael G.; Crandall, M. G.; Crandall, Michael
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102 Publications have been cited 8,965 times in 6,495 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.
910
1971
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
813
1983
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
435
1971
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
397
1973
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
372
1984
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
346
1977
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
243
1982
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
199
1975
A tour of the theory of absolutely minimizing functions. Zbl 1150.35047
Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri
165
2004
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
160
1984
On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032
Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A.
147
1996
A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077
Benilan, Philippe; Brézis, Haïm; Crandall, Michael G.
141
1975
Nonlinear evolution equations in Banach spaces. Zbl 0249.34049
Crandall, M. G.; Pazy, A.
136
1972
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
128
1980
Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501
Brézis, Haïm; Crandall, M. G.; Pazy, A.
117
1970
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
115
2001
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
115
1978
Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903
Crandall, M. G.; Pazy, A.
114
1969
The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012
Benilan, Philippe; Crandall, Michael G.
102
1981
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
101
1984
The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020
Crandall, Michael G.; Rabinowitz, Paul H.
93
1977
Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054
Brézis, Haïm; Crandall, Michael G.
86
1979
Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059
Crandall, Michael G.; Tartar, Luc
78
1980
The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018
Crandall, Michael G.
74
1972
\(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097
Crandall, M. G.; Kocan, M.; Świȩch, A.
63
2000
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
59
1985
Viscosity solutions: A primer. Zbl 0901.49026
Crandall, Michael G.
55
1997
Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705
Crandall, M. G.; Rabinowitz, P. H.
54
1970
Completely accretive operators. Zbl 0895.47036
Benilan, Ph.; Crandall, M. G.
53
1991
On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016
Crandall, Michael G.; Lions, Pierre-Louis
49
1986
An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035
Crandall, M. G.; Nohel, J. A.
49
1978
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
45
1980
Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016
Crandall, Michael G.; Lions, P. L.
43
1990
Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021
Crandall, Michael G.; Lions, Pierre-Louis
43
1986
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
42
1988
An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023
Crandall, M. G.; Londen, S.-O.; Nohel, J. A.
42
1978
The maximum principle for semicontinuous functions. Zbl 0723.35015
Crandall, Michael G.; Ishii, Hitoshi
40
1990
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
39
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.
39
1999
A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112
Crandall, Michael G.
38
2008
A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084
Crandall, Michael G.
36
1972
Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076
Crandall, Michael; Pierre, Michel
34
1982
Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023
Crandall, Michael G.; Lions, Pierre-Louis
33
1981
A generalized domain for semigroup generators. Zbl 0285.47044
Crandall, Michael G.
32
1973
Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015
Crandall, Michael G.; Lions, Pierre-Louis
30
1986
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.
29
1991
An efficient derivation of the Aronsson equation. Zbl 1090.35067
Crandall, Michael G.
26
2003
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 introduction to evolution governed by accretive operators. Zbl 0339.35049
Crandall, Michael G.
25
1976
Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048
Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong
23
2007
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.
22
1994
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
22
1989
A remark on infinity harmonic functions. Zbl 0964.35061
Crandall, Michael G.; Evans, L. C.
21
2001
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.
21
1993
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066
Crandall, Michael G.; Lions, Pierre-Louis
20
1996
Regularizing effects of homogeneous evolution equations. Zbl 0556.35067
Bénilan, Philippe; Crandall, Michael G.
19
1981
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.
19
1996
On the range of accretive operators. Zbl 0355.47039
Crandall, Michael G.; Pazy, Amnon
18
1977
“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
16
1988
Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024
Caffarelli, Luis A.; Crandall, Michael G.
16
2010
On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901
Crandall, M. G.; Pazy, A.
16
1969
Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033
Crandall, Michael G.
16
1989
On accretive sets in Banach spaces. Zbl 0198.18503
Crandall, M. G.; Pazy, A.
15
1970
Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008
Crandall, Michael G.; Newcomb, Richard
14
1985
Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091
Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A.
14
1998
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
14
1968
Another way to say caloric. Zbl 1052.35012
Crandall, Michael G.; Wang, Pei-Yong
12
2003
Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101
Crandall, M. G.
12
1969
Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020
Crandall, Michael G.; Wang, Changyou; Yu, Yifeng
12
2009
Remarks on generators of analytic semigroups. Zbl 0436.47028
Crandall, M. G.; Pazy, A.; Tartar, L.
12
1979
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
11
1986
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
11
1971
Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002
Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K.
11
2011
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.
8
2003
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
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
Another way to say harmonic. Zbl 1112.35319
Crandall, Michael G.; Zhang, Jianying
7
2003
Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066
Crandall, Michael G.
6
1971
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.
6
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
4
1989
An approximation of integrable functions by step functions with an application. Zbl 0415.41009
Crandall, M. G.; Pazy, A.
4
1979
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
Boundary value problems for symmetric positive differential operators of odd order. Zbl 0157.40902
Crandall, M. G.
2
1968
Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010
Crandall, Michael G.; Lions, Pierre-Louis
1
1985
The principle of exchange of stability. Zbl 0537.34044
Crandall, Michael G.; Rabinowitz, Paul H.
1
1977
Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011
Crandall, Michael G.; Souganidis, Panagiotis E.
1
1984
On nonuniqueness of viscosity solutions. Zbl 0758.34013
Crandall, Michael G.; Huan, Zhongdan
1
1992
The problem of two sticks. Zbl 1257.46009
Caffarelli, Luis A.; Crandall, Michael G.
1
2012
Semi-groups of contractions and monotonicity. Zbl 0193.10903
Crandall, M. G.
1
1970
Multiple solutions of a nonlinear integral equation. Zbl 0194.14001
Crandall, M. G.; Rabinowitz, P. H.
1
1970
Mathematical theory of bifurcation. Zbl 0445.34002
Crandall, Michael G.; Rabinowitz, Paul H.
1
1980
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.
11
2011
Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024
Caffarelli, Luis A.; Crandall, Michael G.
16
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.
38
2008
Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048
Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong
23
2007
A tour of the theory of absolutely minimizing functions. Zbl 1150.35047
Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri
165
2004
An efficient derivation of the Aronsson equation. Zbl 1090.35067
Crandall, Michael G.
26
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.
8
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.
115
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.
63
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.
39
1999
Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091
Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A.
14
1998
Viscosity solutions: A primer. Zbl 0901.49026
Crandall, Michael G.
55
1997
On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032
Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A.
147
1996
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066
Crandall, Michael G.; Lions, Pierre-Louis
20
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.
19
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.
22
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.
21
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.
53
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.
29
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.
43
1990
The maximum principle for semicontinuous functions. Zbl 0723.35015
Crandall, Michael G.; Ishii, Hitoshi
40
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.
22
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.
6
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
4
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
42
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
16
1988
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
39
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
49
1986
Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021
Crandall, Michael G.; Lions, Pierre-Louis
43
1986
Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039
Crandall, Michael G.
42
1986
Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015
Crandall, Michael G.; Lions, Pierre-Louis
30
1986
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
11
1986
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
59
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
372
1984
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
160
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
101
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.
1
1984
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
813
1983
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
243
1982
Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076
Crandall, Michael; Pierre, Michel
34
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.
102
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
33
1981
Regularizing effects of homogeneous evolution equations. Zbl 0556.35067
Bénilan, Philippe; Crandall, Michael G.
19
1981
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
128
1980
Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059
Crandall, Michael G.; Tartar, Luc
78
1980
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
45
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.
86
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.
115
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.
42
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
1
1978
On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L.
346
1977
The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020
Crandall, Michael G.; Rabinowitz, Paul H.
93
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.
25
1976
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
199
1975
A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077
Benilan, Philippe; Brézis, Haïm; Crandall, Michael G.
141
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.
397
1973
A generalized domain for semigroup generators. Zbl 0285.47044
Crandall, Michael G.
32
1973
Nonlinear evolution equations in Banach spaces. Zbl 0249.34049
Crandall, M. G.; Pazy, A.
136
1972
The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018
Crandall, Michael G.
74
1972
A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084
Crandall, Michael G.
36
1972
Bifurcation from simple eigenvalues. Zbl 0219.46015
Crandall, M. G.; Rabinowitz, P. H.
910
1971
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
435
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.
6
1971
Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501
Brézis, Haïm; Crandall, M. G.; Pazy, A.
117
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.
15
1970
Semi-groups of contractions and monotonicity. Zbl 0193.10903
Crandall, M. G.
1
1970
Multiple solutions of a nonlinear integral equation. Zbl 0194.14001
Crandall, M. G.; Rabinowitz, P. H.
1
1970
Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903
Crandall, M. G.; Pazy, A.
114
1969
On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901
Crandall, M. G.; Pazy, A.
16
1969
Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101
Crandall, M. G.
12
1969
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
14
1968
...and 2 more Documents
all top 5

Cited by 5,479 Authors

65 Vazquez, Juan Luis
55 Rossi, Julio Daniel
54 Lions, Pierre-Louis
48 Shi, Junping
47 Ishii, Hitoshi
44 Wu, Jianhua
43 Souganidis, Panagiotis E.
42 Crandall, Michael G.
39 Barles, Guy
38 López-Gómez, Julián
31 Quaas, Alexander
30 Reich, Simeon
29 Diaz Diaz, Jesus Ildefonso
29 Giga, Yoshikazu
27 Świȩch, Andrzej
26 Perthame, Benoît
25 Mazón Ruiz, José M.
24 Agarwal, Ravi P.
24 Wong, Patricia J. Y.
23 Barbu, Viorel
23 Cardaliaguet, Pierre
23 Kartsatos, Athanassios G.
22 Soner, Halil Mete
22 Vitolo, Antonio
21 Cannarsa, Piermarco
21 Monneau, Régis
21 Nie, Hua
20 Jakobsen, Espen Robstad
20 Sirakov, Boyan Slavchev
19 Armstrong, Scott N.
19 Barron, Emmanuel Nicholas
19 Capuzzo Dolcetta, Italo
19 Caselles Costa, Vicent
19 Frankowska, Hélène
19 Krylov, Nicolaĭ Vladimirovich
19 Manfredi, Juan J.
19 Osher, Stanley Joel
19 Peletier, Lambertus Adrianus
19 Touzi, Nizar
19 Zhang, Zhijun
18 Karlsen, Kenneth Hvistendahl
18 Katzourakis, Nikolaos I.
18 Li, Shanbing
17 Bardi, Martino
17 Kim, Inwon Christina
17 Korman, Philip L.
17 Punzo, Fabio
17 Suárez, Antonio
16 Andreu, Fuensanta
16 Bertsch, Michiel
16 Buckdahn, Rainer
16 Gozzi, Fausto
16 Mitake, Hiroyoshi
16 Mohammed, Ahmed
16 Peral Alonso, Ireneo
16 Zhang, Jianfeng
15 Birindelli, Isabeau
15 da Silva, João Vítor
15 Igbida, Noureddine
15 Li, Juan
15 Qian, Jianliang
15 Quirós Gracián, Fernando
15 Risebro, Nils Henrik
15 Smart, Charles K.
15 Tanaka, Naoki
15 Teixeira, Eduardo V. O.
15 Topp, Erwin
14 Dancer, Edward Norman
14 Feng, Xiaobing
14 Giacomoni, Jacques
14 Juutinen, Petri
14 Koike, Shigeaki
14 Oberman, Adam M.
14 Shu, Chi-Wang
14 Tesei, Alberto
14 Tran Vinh Hung
14 Wang, Mingxin
14 Webb, Glenn Francis
13 Bayraktar, Erhan
13 Bonforte, Matteo
13 Caffarelli, Luis Ángel
13 Chasseigne, Emmanuel
13 Evans, Lawrence Craig
13 Falcone, Maurizio
13 Imbert, Cyril
13 Kuto, Kousuke
13 Ley, Olivier
13 Liu, Qing
13 Pazy, Amnon
13 Peng, Shige
13 Rădulescu, Vicenţiu D.
13 Santos, Carlos Alberto P.
12 Akagi, Goro
12 Brown, Kenneth J.
12 Dong, Yaying
12 Du, Yihong
12 Healey, Timothy J.
12 Kawohl, Bernd
12 Kielhöfer, Hansjörg
12 Kurzhanskiĭ, Aleksandr Borisovich
...and 5,379 more Authors
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Cited in 528 Serials

455 Journal of Differential Equations
396 Journal of Mathematical Analysis and Applications
350 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
271 Nonlinear Analysis. Theory, Methods & Applications
154 Archive for Rational Mechanics and Analysis
141 Communications in Partial Differential Equations
137 Calculus of Variations and Partial Differential Equations
129 Transactions of the American Mathematical Society
122 Journal of Functional Analysis
106 Proceedings of the American Mathematical Society
97 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
89 Journal of Computational Physics
83 Discrete and Continuous Dynamical Systems
77 Applied Mathematics and Optimization
77 Journal de Mathématiques Pures et Appliquées. Neuvième Série
74 NoDEA. Nonlinear Differential Equations and Applications
66 Nonlinear Analysis. Real World Applications
64 Computers & Mathematics with Applications
58 Mathematics of Computation
58 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
57 Applicable Analysis
56 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
55 Journal of Scientific Computing
52 Israel Journal of Mathematics
52 Applied Mathematics and Computation
52 Journal of Optimization Theory and Applications
51 Stochastic Processes and their Applications
50 Communications on Pure and Applied Analysis
49 Annali di Matematica Pura ed Applicata. Serie Quarta
48 Journal of Computational and Applied Mathematics
45 Advances in Mathematics
45 Numerische Mathematik
44 Mathematische Annalen
41 Discrete and Continuous Dynamical Systems. Series B
35 SIAM Journal on Mathematical Analysis
34 Communications in Contemporary Mathematics
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
33 Proceedings of the Japan Academy. Series A
32 Journal of Evolution Equations
30 ZAMP. Zeitschrift für angewandte Mathematik und Physik
30 SIAM Journal on Control and Optimization
30 Boundary Value Problems
29 Journal of Dynamics and Differential Equations
28 Automatica
28 Acta Applicandae Mathematicae
27 Applied Mathematics Letters
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 Advanced Nonlinear Studies
25 The Annals of Probability
25 Applied Numerical Mathematics
25 Advances in Nonlinear Analysis
24 Journal of Mathematical Biology
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Journal of Mathematical Sciences (New York)
23 Communications on Pure and Applied Mathematics
23 Journal d’Analyse Mathématique
23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Complex Variables and Elliptic Equations
22 Communications in Mathematical Physics
21 Manuscripta Mathematica
21 Potential Analysis
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Nonlinearity
20 The Annals of Applied Probability
19 Abstract and Applied Analysis
19 Proceedings of the Japan Academy
18 Mathematische Zeitschrift
18 Numerical Functional Analysis and Optimization
17 Journal of Mathematical Physics
17 SIAM Journal on Numerical Analysis
17 Finance and Stochastics
17 Proceedings of the Steklov Institute of Mathematics
17 Discrete and Continuous Dynamical Systems. Series S
16 Chinese Annals of Mathematics. Series B
16 Physica D
16 The Journal of Geometric Analysis
15 Rocky Mountain Journal of Mathematics
14 Duke Mathematical Journal
14 Acta Mathematicae Applicatae Sinica. English Series
14 Probability Theory and Related Fields
14 Revista Matemática Iberoamericana
14 Japan Journal of Industrial and Applied Mathematics
14 Bulletin of the American Mathematical Society. New Series
14 Mediterranean Journal of Mathematics
13 Journal of Applied Mathematics and Mechanics
13 Mathematical Notes
13 Results in Mathematics
13 Tohoku Mathematical Journal. Second Series
13 Stochastic Analysis and Applications
13 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Journal of Economic Dynamics & Control
13 Journal of Nonlinear Science
13 Journal of the European Mathematical Society (JEMS)
13 Acta Mathematica Sinica. English Series
13 SIAM Journal on Financial Mathematics
12 Rendiconti del Seminario Matematico della Università di Padova
12 SIAM Journal on Scientific Computing
12 Science China. Mathematics
...and 428 more Serials
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Cited in 57 Fields

4,379 Partial differential equations (35-XX)
1,171 Calculus of variations and optimal control; optimization (49-XX)
873 Operator theory (47-XX)
716 Numerical analysis (65-XX)
642 Ordinary differential equations (34-XX)
538 Probability theory and stochastic processes (60-XX)
489 Biology and other natural sciences (92-XX)
454 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
443 Systems theory; control (93-XX)
364 Fluid mechanics (76-XX)
235 Global analysis, analysis on manifolds (58-XX)
220 Dynamical systems and ergodic theory (37-XX)
167 Integral equations (45-XX)
153 Operations research, mathematical programming (90-XX)
142 Differential geometry (53-XX)
135 Mechanics of deformable solids (74-XX)
134 Functional analysis (46-XX)
109 Mechanics of particles and systems (70-XX)
105 Statistical mechanics, structure of matter (82-XX)
91 Real functions (26-XX)
65 Classical thermodynamics, heat transfer (80-XX)
55 Potential theory (31-XX)
52 Computer science (68-XX)
46 Information and communication theory, circuits (94-XX)
44 Difference and functional equations (39-XX)
44 Optics, electromagnetic theory (78-XX)
37 Quantum theory (81-XX)
35 Several complex variables and analytic spaces (32-XX)
31 Geophysics (86-XX)
29 Measure and integration (28-XX)
25 Convex and discrete geometry (52-XX)
23 General topology (54-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Statistics (62-XX)
15 Approximations and expansions (41-XX)
14 Algebraic topology (55-XX)
13 Topological groups, Lie groups (22-XX)
13 Relativity and gravitational theory (83-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
9 Functions of a complex variable (30-XX)
8 Combinatorics (05-XX)
7 General and overarching topics; collections (00-XX)
7 Group theory and generalizations (20-XX)
7 Astronomy and astrophysics (85-XX)
6 Abstract harmonic analysis (43-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)
2 Special functions (33-XX)
1 Geometry (51-XX)
1 Mathematics education (97-XX)

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