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DiBenedetto, Emmanuele (b. 1947 d. 2021)

Author ID: dibenedetto.emmanuele Recent zbMATH articles by "DiBenedetto, Emmanuele"
Published as: DiBenedetto, Emmanuele; DiBenedetto, E.; Dibenedetto, Emmanuele
Homepage: https://math.vanderbilt.edu/dibenee/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 104 Publications since 1978, including 8 Books
4 Contributions as Editor
Biographic References: 5 Publications
Co-Authors: 39 Co-Authors with 80 Joint Publications
1,493 Co-Co-Authors
all top 5

Serials

8 Archive for Rational Mechanics and Analysis
7 Indiana University Mathematics Journal
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal für die Reine und Angewandte Mathematik
4 Transactions of the American Mathematical Society
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 SIAM Journal on Mathematical Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Differential Equations
3 Cornerstones
2 Manuscripta Mathematica
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications in Partial Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
1 Applicable Analysis
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Acta Mathematica
1 American Journal of Mathematics
1 Control and Cybernetics
1 Duke Mathematical Journal
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Rendiconti del Seminario Matematico della Università di Padova
1 Atti del Seminario Matematico e Fisico dell’Università di Modena
1 Bollettino della Unione Matemàtica Italiana. Supplemento
1 Advances in Differential Equations
1 Electronic Research Announcements of the American Mathematical Society
1 Discrete and Continuous Dynamical Systems. Series B
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Boundary Value Problems
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Contemporary Mathematics
1 Advances in Calculus of Variations
1 Rivista di Matematica della Università di Parma. New Series
1 Journal of Elliptic and Parabolic Equations
1 Universitext
1 Springer Monographs in Mathematics
1 Birkhäuser Advanced Texts. Basler Lehrbücher

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 4,493 times in 3,026 Documents Cited by Year
Degenerate parabolic equations. Zbl 0794.35090
DiBenedetto, Emmanuele
1993
\(C^{1+\alpha}\) local regularity of weak solutions of degenerate elliptic equations. Zbl 0539.35027
DiBenedetto, E.
635
1983
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
205
1985
Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042
DiBenedetto, Emmanuele
174
1983
On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037
DiBenedetto, Emmanuele; Manfredi, J.
169
1993
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
124
2011
The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
123
1980
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
96
1989
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
92
2008
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
89
1984
On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052
DiBenedetto, Emmanuele
85
1986
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
84
1984
Implicit degenerate evolution equations and applications. Zbl 0477.47037
DiBenedetto, Emmanuele; Showalter, R. E.
82
1981
Real analysis. Zbl 1012.26001
DiBenedetto, Emmanuele
80
2002
On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Zbl 0762.35052
Andreucci, D.; DiBenedetto, Emmanuele
68
1991
Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018
DiBenedetto, Emmanuele
61
1982
Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066
DiBenedetto, Emmanuele; Herrero, M. A.
60
1990
Partial differential equations. Zbl 0818.35001
DiBenedetto, Emmanuele
55
1995
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
55
2004
Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082
Alt, H. W.; DiBenedetto, Emmanuele
48
1985
Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
47
2010
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
42
1984
On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047
Chen, Ya-Zhe; DiBenedetto, Emmanuele
41
1988
On the maximum principle for pseudoparabolic equations. Zbl 0495.35047
DiBenedetto, Emmanuele; Pierre, Michel
39
1981
Partial differential equations. 2nd ed. Zbl 1188.35001
DiBenedetto, Emmanuele
38
2010
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuele; Friedman, Avner
38
1985
Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052
Chan, Yazhe; DiBenedetto, Emmanuele
37
1989
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
35
1991
Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017
DiBenedetto, Emmanuele
34
1988
Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029
Chen, Yazhe; DiBenedetto, E.
33
1992
Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006
DiBenedetto, Emmanuele; Kwong, Y. C.
31
1992
A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044
DiBenedetto, Emmanuele
30
1986
On the singular equation \(\beta (u)_ t=\Delta u\). Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
29
1995
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
28
1986
Local clustering of the non-zero set of functions in \(W^{1,1} (E)\). Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
26
2006
Real analysis. 2nd edition. Zbl 1353.26001
DiBenedetto, Emmanuele
25
2016
Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080
Chen, Gui-Qiang; DiBenedetto, Emmanuele
24
2001
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations. Zbl 1386.35113
Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
24
2016
Some a priori estimates for a singular evolution equation arising in thin-film dynamics. Zbl 0854.35014
Davis, Stephen H.; DiBenedetto, Emmanuele; Diller, David J.
21
1996
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
21
1997
Bubble growth in porous media. Zbl 0667.35074
DiBenedetto, Emmanuele; Friedman, Avner
21
1986
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
21
1984
A new approach to initial traces in nonlinear filtration. Zbl 0723.35014
Andreucci, D.; DiBenedetto, Emmanuele
20
1990
About a singular parabolic equation arising in thin film dynamics and in the Ricci flow for complete \(\mathbb{R}^ 2\). Zbl 0846.35070
DiBenedetto, Emmanuele; Diller, David J.
19
1996
On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090
Cannon, J. R.; DiBenedetto, Emmanuele
19
1980
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
18
1987
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
17
2010
Harnack estimates in certain function classes. Zbl 0698.35023
DiBenedetto, Emmanuele
14
1989
Conduction-convection problems with change of phase. Zbl 0593.35085
DiBenedetto, Emmanuele; Friedman, Avner
13
1986
A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050
DiBenedetto, E.; Showalter, R. E.
12
1982
Regularity results for the porous media equation. Zbl 0428.76074
DiBenedetto, E.
10
1979
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
10
2008
The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101
DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner
10
1986
A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
9
2010
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
8
1980
Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction. Zbl 1098.35013
Andreucci, D.; Bisegna, P.; DiBenedetto, E.
8
2003
Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
8
2009
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
7
1983
Some properties of De Giorgi classes. Zbl 1432.35066
DiBenedetto, Emmanuele; Gianazza, Ugo
7
2016
Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
7
2012
On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
6
2012
A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083
DiBenedetto, Emmanuele; Showalter, R. E.
6
1983
Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
6
2010
Regularity properties of the solution of an \(n\)-dimensional two-phase Stefan problem. Zbl 0458.35098
DiBenedetto, E.
5
1980
Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081
DiBenedetto, E.
5
1983
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
5
1978
A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053
DiBenedetto, Emmanuele; Gianazza, Ugo
5
2016
Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
4
2006
Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084
DiBenedetto, Emmanuele; O’Leary, M.
4
1993
On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066
Chen, Yazhe; DiBenedetto, E.
4
1993
Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001
DiBenedetto, Emmanuele
4
2011
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
4
2006
Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
4
2010
Flow of oil and water through porous media. Zbl 0588.76166
Alt, H. W.; DiBenedetto, E.
4
1984
Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046
DiBenedetto, Emmanuele
3
1982
A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth. Zbl 1366.35099
DiBenedetto, Emmanuele; Gianazza, Ugo; Klaus, Colin
3
2017
Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
3
2002
Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037
Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura
3
1978
Degenerate and singular parabolic equations. Zbl 0812.35069
DiBenedetto, Emmanuele
2
1993
Some mathematical problems in visual transduction. Zbl 1081.92012
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2
2005
Existence for a problem in ground freezing. Zbl 0592.76131
DiBenedetto, E.; Elliott, C. M.
2
1985
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
1
1992
Singular semilinear elliptic equations in \(L^1(\mathbb{R}^N)\). Zbl 0922.35061
DiBenedetto, E.; Diller, D. J.
1
1999
Weak solutions of the type of nonstationary filtration. Zbl 0794.35020
Andreucci, D.; DiBenedetto, Emmanuele
1
1992
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1
1983
Recent results on the Cauchy problem and initial traces for degenerate parabolic equations. Zbl 0706.35071
DiBenedetto, Emmanuele
1
1990
Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equation. Zbl 1139.35370
DiBenedetto, Emmanuele; Giannazza, Ugo; Vespri, Vincenzo
1
2007
Two remarks on the local behavior of solutions to logarithmically singular diffusion equations and its porous-medium type approximations. Zbl 1322.35081
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
1
2014
On a free boundary problem related to an irreversible process. Zbl 0615.35088
DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario
1
1985
A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth. Zbl 1366.35099
DiBenedetto, Emmanuele; Gianazza, Ugo; Klaus, Colin
3
2017
Real analysis. 2nd edition. Zbl 1353.26001
DiBenedetto, Emmanuele
25
2016
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations. Zbl 1386.35113
Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
24
2016
Some properties of De Giorgi classes. Zbl 1432.35066
DiBenedetto, Emmanuele; Gianazza, Ugo
7
2016
A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053
DiBenedetto, Emmanuele; Gianazza, Ugo
5
2016
Two remarks on the local behavior of solutions to logarithmically singular diffusion equations and its porous-medium type approximations. Zbl 1322.35081
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
1
2014
Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
7
2012
On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
6
2012
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
124
2011
Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001
DiBenedetto, Emmanuele
4
2011
Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
47
2010
Partial differential equations. 2nd ed. Zbl 1188.35001
DiBenedetto, Emmanuele
38
2010
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
17
2010
A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
9
2010
Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
6
2010
Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
4
2010
Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
8
2009
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
92
2008
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
10
2008
Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equation. Zbl 1139.35370
DiBenedetto, Emmanuele; Giannazza, Ugo; Vespri, Vincenzo
1
2007
Local clustering of the non-zero set of functions in \(W^{1,1} (E)\). Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
26
2006
Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
4
2006
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
4
2006
Some mathematical problems in visual transduction. Zbl 1081.92012
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2
2005
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
55
2004
Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction. Zbl 1098.35013
Andreucci, D.; Bisegna, P.; DiBenedetto, E.
8
2003
Real analysis. Zbl 1012.26001
DiBenedetto, Emmanuele
80
2002
Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
3
2002
Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080
Chen, Gui-Qiang; DiBenedetto, Emmanuele
24
2001
Singular semilinear elliptic equations in \(L^1(\mathbb{R}^N)\). Zbl 0922.35061
DiBenedetto, E.; Diller, D. J.
1
1999
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
21
1997
Some a priori estimates for a singular evolution equation arising in thin-film dynamics. Zbl 0854.35014
Davis, Stephen H.; DiBenedetto, Emmanuele; Diller, David J.
21
1996
About a singular parabolic equation arising in thin film dynamics and in the Ricci flow for complete \(\mathbb{R}^ 2\). Zbl 0846.35070
DiBenedetto, Emmanuele; Diller, David J.
19
1996
Partial differential equations. Zbl 0818.35001
DiBenedetto, Emmanuele
55
1995
On the singular equation \(\beta (u)_ t=\Delta u\). Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
29
1995
Degenerate parabolic equations. Zbl 0794.35090
DiBenedetto, Emmanuele
1993
On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037
DiBenedetto, Emmanuele; Manfredi, J.
169
1993
Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084
DiBenedetto, Emmanuele; O&rsquo;Leary, M.
4
1993
On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066
Chen, Yazhe; DiBenedetto, E.
4
1993
Degenerate and singular parabolic equations. Zbl 0812.35069
DiBenedetto, Emmanuele
2
1993
Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029
Chen, Yazhe; DiBenedetto, E.
33
1992
Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006
DiBenedetto, Emmanuele; Kwong, Y. C.
31
1992
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
1
1992
Weak solutions of the type of nonstationary filtration. Zbl 0794.35020
Andreucci, D.; DiBenedetto, Emmanuele
1
1992
On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Zbl 0762.35052
Andreucci, D.; DiBenedetto, Emmanuele
68
1991
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
35
1991
Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066
DiBenedetto, Emmanuele; Herrero, M. A.
60
1990
A new approach to initial traces in nonlinear filtration. Zbl 0723.35014
Andreucci, D.; DiBenedetto, Emmanuele
20
1990
Recent results on the Cauchy problem and initial traces for degenerate parabolic equations. Zbl 0706.35071
DiBenedetto, Emmanuele
1
1990
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
96
1989
Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052
Chan, Yazhe; DiBenedetto, Emmanuele
37
1989
Harnack estimates in certain function classes. Zbl 0698.35023
DiBenedetto, Emmanuele
14
1989
On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047
Chen, Ya-Zhe; DiBenedetto, Emmanuele
41
1988
Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017
DiBenedetto, Emmanuele
34
1988
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
18
1987
On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052
DiBenedetto, Emmanuele
85
1986
A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044
DiBenedetto, Emmanuele
30
1986
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
28
1986
Bubble growth in porous media. Zbl 0667.35074
DiBenedetto, Emmanuele; Friedman, Avner
21
1986
Conduction-convection problems with change of phase. Zbl 0593.35085
DiBenedetto, Emmanuele; Friedman, Avner
13
1986
The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101
DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner
10
1986
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
205
1985
Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082
Alt, H. W.; DiBenedetto, Emmanuele
48
1985
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuele; Friedman, Avner
38
1985
Existence for a problem in ground freezing. Zbl 0592.76131
DiBenedetto, E.; Elliott, C. M.
2
1985
On a free boundary problem related to an irreversible process. Zbl 0615.35088
DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario
1
1985
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
89
1984
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
84
1984
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
42
1984
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
21
1984
Flow of oil and water through porous media. Zbl 0588.76166
Alt, H. W.; DiBenedetto, E.
4
1984
\(C^{1+\alpha}\) local regularity of weak solutions of degenerate elliptic equations. Zbl 0539.35027
DiBenedetto, E.
635
1983
Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042
DiBenedetto, Emmanuele
174
1983
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
7
1983
A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083
DiBenedetto, Emmanuele; Showalter, R. E.
6
1983
Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081
DiBenedetto, E.
5
1983
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1
1983
Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018
DiBenedetto, Emmanuele
61
1982
A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050
DiBenedetto, E.; Showalter, R. E.
12
1982
Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046
DiBenedetto, Emmanuele
3
1982
Implicit degenerate evolution equations and applications. Zbl 0477.47037
DiBenedetto, Emmanuele; Showalter, R. E.
82
1981
On the maximum principle for pseudoparabolic equations. Zbl 0495.35047
DiBenedetto, Emmanuele; Pierre, Michel
39
1981
The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
123
1980
On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090
Cannon, J. R.; DiBenedetto, Emmanuele
19
1980
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
8
1980
Regularity properties of the solution of an \(n\)-dimensional two-phase Stefan problem. Zbl 0458.35098
DiBenedetto, E.
5
1980
Regularity results for the porous media equation. Zbl 0428.76074
DiBenedetto, E.
10
1979
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
5
1978
Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037
Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura
3
1978
all top 5

Cited by 2,749 Authors

47 Vazquez, Juan Luis
46 Mingione, Giuseppe
46 Vespri, Vincenzo Riccardo
36 Byun, Sun-Sig
36 DiBenedetto, Emmanuele
36 Zhan, Huashui
35 Sciunzi, Berardino
34 Bögelein, Verena
34 Kuusi, Tuomo
32 Gianazza, Ugo Pietro
30 Yao, Fengping
28 Duzaar, Frank
25 Kinnunen, Juha
25 Parviainen, Mikko
25 Zhou, Shulin
24 Mu, Chunlai
23 Ok, Jihoon
21 Skrypnik, Igor Igorievich
19 Andreucci, Daniele
19 Liao, Naian
19 Scheven, Christoph
19 Yin, Jingxue
19 Zhang, Chao
18 Bonforte, Matteo
18 Gao, Wenjie
18 Marcellini, Paolo
17 Schwarzacher, Sebastian
17 Tedeev, Anatoliĭ Fedorovich
17 Urbano, José Miguel
17 Zheng, Shenzhou
16 Bertsch, Michiel
16 Iagar, Razvan Gabriel
16 Lindqvist, Peter
16 Montoro, Luigi
15 Diening, Lars
15 Peral Alonso, Ireneo
14 Baroni, Paolo
14 Grillo, Gabriele
14 Ivanov, Aleksandr Vasil’evich
14 Porzio, Maria Michaela
14 Shang, Haifeng
14 Xu, Xiangsheng
13 Kieu, Thinh Tri
13 Valdinoci, Enrico
12 Farina, Alberto
12 Henriques, Eurica
12 Hoang, Luan Thach
12 Kamin, Shoshana
12 Misawa, Masashi
12 Surnachëv, Mikhaĭl Dmitrievich
12 Takáč, Peter
11 Hilhorst, Danielle
11 Lindgren, Erik
11 Nyström, Kaj
11 Wang, Lihe
10 Abdulla, Ugur G.
10 Adimurthi, Karthik
10 Akagi, Goro
10 Alves, Claudianor Oliveira
10 Brasco, Lorenzo
10 Choe, Hi Jun
10 Figueiredo, Giovany Malcher
10 Ishige, Kazuhiro
10 Lee, Ki-Ahm
10 Lieberman, Gary M.
10 Muratori, Matteo
10 Phan, Tuoc Van
10 Sánchez, Ariel
10 Xu, Xiaojing
10 Zhou, Jun
9 Aramaki, Junichi
9 Cianchi, Andrea
9 Ciraolo, Giulio
9 Díaz Díaz, Jesús Ildefonso
9 Drábek, Pavel
9 Gilardi, Gianni
9 Kim, Sunghoon
9 Lukkari, Teemu
9 Perthame, Benoît
9 Ragusa, Maria Alessandra
9 Showalter, Ralph E.
9 Wang, Yifu
9 Zhao, Junning
8 Auchmuty, Giles
8 Bhattacharya, Tilak
8 Ciani, Simone
8 Damascelli, Lucio
8 Feng, Zhaosheng
8 Garain, Prashanta
8 Giacomoni, Jacques
8 Han, Yuzhu
8 Hui, Kin Ming
8 Hulshof, Josephus
8 Lewis, John L.
8 Nakamura, Kenta
8 Papageorgiou, Nikolaos S.
8 Quirós Gracián, Fernando
8 Rădulescu, Vicenţiu D.
8 Singer, Thomas
8 Stefanelli, Ulisse
...and 2,649 more Authors
all top 5

Cited in 365 Serials

243 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
234 Journal of Differential Equations
209 Journal of Mathematical Analysis and Applications
110 Calculus of Variations and Partial Differential Equations
65 Nonlinear Analysis. Theory, Methods & Applications
63 Annali di Matematica Pura ed Applicata. Serie Quarta
57 Archive for Rational Mechanics and Analysis
57 Journal of Functional Analysis
47 NoDEA. Nonlinear Differential Equations and Applications
44 Communications in Partial Differential Equations
43 Journal de Mathématiques Pures et Appliquées. Neuvième Série
42 Mathematical Methods in the Applied Sciences
42 Manuscripta Mathematica
41 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
40 Applicable Analysis
39 Nonlinear Analysis. Real World Applications
38 Journal of Evolution Equations
37 Mathematische Annalen
36 Proceedings of the American Mathematical Society
36 Transactions of the American Mathematical Society
36 Discrete and Continuous Dynamical Systems
35 Journal of Mathematical Sciences (New York)
33 Boundary Value Problems
32 Advances in Mathematics
28 Applied Mathematics Letters
27 Computers & Mathematics with Applications
25 SIAM Journal on Mathematical Analysis
23 Communications on Pure and Applied Analysis
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Journal of Mathematical Physics
20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
17 The Journal of Geometric Analysis
17 Communications in Contemporary Mathematics
17 Advances in Nonlinear Analysis
16 Applied Mathematics and Computation
16 Potential Analysis
16 Journal of Inequalities and Applications
16 Discrete and Continuous Dynamical Systems. Series S
15 Zeitschrift für Analysis und ihre Anwendungen
15 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
15 Acta Mathematica Sinica. English Series
15 Advances in Calculus of Variations
14 Revista Matemática Iberoamericana
12 Journal d’Analyse Mathématique
12 Acta Applicandae Mathematicae
12 European Journal of Applied Mathematics
12 Journal of Mathematical Fluid Mechanics
12 Journal of the European Mathematical Society (JEMS)
11 Nonlinearity
11 Rocky Mountain Journal of Mathematics
11 Mathematische Nachrichten
10 Israel Journal of Mathematics
10 Archiv der Mathematik
10 Journal of Dynamics and Differential Equations
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 Discrete and Continuous Dynamical Systems. Series B
10 Advanced Nonlinear Studies
10 Complex Variables and Elliptic Equations
10 Journal of Function Spaces
9 Journal of Computational and Applied Mathematics
9 Acta Mathematicae Applicatae Sinica. English Series
9 Electronic Journal of Differential Equations (EJDE)
9 Abstract and Applied Analysis
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Mediterranean Journal of Mathematics
8 Applied Mathematics and Optimization
8 Journal of Soviet Mathematics
8 Chinese Annals of Mathematics. Series B
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
8 AIMS Mathematics
7 Journal of Computational Physics
7 Journal of the London Mathematical Society. Second Series
7 Mathematische Zeitschrift
7 Monatshefte für Mathematik
7 Rendiconti del Seminario Matematico della Università di Padova
7 Physica D
7 Numerical Methods for Partial Differential Equations
7 Applications of Mathematics
7 Differential Equations
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Milan Journal of Mathematics
7 Mathematics in Engineering
6 Mathematical Notes
6 Journal für die Reine und Angewandte Mathematik
6 Results in Mathematics
6 SIAM Journal on Numerical Analysis
6 Forum Mathematicum
6 International Journal of Mathematics
6 Japan Journal of Industrial and Applied Mathematics
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Computational Geosciences
6 Journal of Fixed Point Theory and Applications
6 Journal of Elliptic and Parabolic Equations
6 SN Partial Differential Equations and Applications
5 Communications on Pure and Applied Mathematics
5 Inverse Problems
5 Arkiv för Matematik
5 Duke Mathematical Journal
5 Indiana University Mathematics Journal
...and 265 more Serials
all top 5

Cited in 46 Fields

2,768 Partial differential equations (35-XX)
419 Fluid mechanics (76-XX)
214 Calculus of variations and optimal control; optimization (49-XX)
124 Numerical analysis (65-XX)
123 Functional analysis (46-XX)
120 Operator theory (47-XX)
96 Global analysis, analysis on manifolds (58-XX)
96 Biology and other natural sciences (92-XX)
74 Potential theory (31-XX)
73 Classical thermodynamics, heat transfer (80-XX)
67 Probability theory and stochastic processes (60-XX)
56 Differential geometry (53-XX)
44 Ordinary differential equations (34-XX)
42 Mechanics of deformable solids (74-XX)
34 Real functions (26-XX)
34 Dynamical systems and ergodic theory (37-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
27 Measure and integration (28-XX)
26 Geophysics (86-XX)
25 Integral equations (45-XX)
23 Statistical mechanics, structure of matter (82-XX)
18 Systems theory; control (93-XX)
17 Optics, electromagnetic theory (78-XX)
16 Functions of a complex variable (30-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Operations research, mathematical programming (90-XX)
8 Information and communication theory, circuits (94-XX)
7 Approximations and expansions (41-XX)
6 History and biography (01-XX)
6 Difference and functional equations (39-XX)
6 Computer science (68-XX)
5 Combinatorics (05-XX)
5 Statistics (62-XX)
4 General and overarching topics; collections (00-XX)
4 Convex and discrete geometry (52-XX)
4 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
3 Special functions (33-XX)
3 Mechanics of particles and systems (70-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Algebraic topology (55-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

Citations by Year

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