# zbMATH — the first resource for mathematics

## DiBenedetto, Emmanuele

Compute Distance To:
 Author ID: dibenedetto.emmanuele Published as: DiBenedetto, E.; DiBenedetto, Emanuelle; DiBenedetto, Emmanuele; DiBenedetto, Emmanuelle; Dibenedetto, Emmanuele
 Documents Indexed: 107 Publications since 1978, including 9 Books
all top 5

#### Co-Authors

 25 single-authored 19 Gianazza, Ugo Pietro 19 Vespri, Vincenzo Riccardo 9 Andreucci, Daniele 8 Friedman, Avner 5 Cannon, John Rozier 4 Bisegna, Paolo 4 Chen, Yazhe 4 Diller, David J. 3 Liao, Naian 3 O’Leary, Michael L. 3 Showalter, Ralph E. 2 Alt, Hans Wilhelm 2 Caruso, Giovanni 2 Chen, Gui-Qiang G. 2 Elliott, Charles M. 2 Herrero, Miguel Ángel 2 Knightly, George H. 2 Kwong, Ying-Chuen 2 Manfredi, Juan J. 2 Perthame, Benoît 2 Stevens, Angela 2 Urbano, José Miguel 1 Alessandrini, Giovanni 1 Alexiades, Vasilios 1 Bertsch, Michiel 1 Borgioli, Giovanni 1 Davis, Stephen Howard 1 Fasano, Antonio 1 Gariepy, Ronald F. 1 Giannazza, Ugo 1 Hoff, David 1 Khanal, Harihar 1 Klaus, Colin 1 Pierre, Michel 1 Primicerio, Mario 1 Ricci, Fulvio 1 Safonov, Mikhail V. 1 Spigler, Renato 1 Trudinger, Neil Sidney 1 Ughi, Maura
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 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 2 Cornerstones 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
all top 5

#### Fields

 98 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

86 Publications have been cited 3,180 times in 2,195 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.
1983
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
1985
Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042
DiBenedetto, Emmanuele
1983
On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037
DiBenedetto, Emmanuele; Manfredi, J.
1993
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2011
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
1989
Implicit degenerate evolution equations and applications. Zbl 0477.47037
DiBenedetto, Emmanuele; Showalter, R. E.
1981
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
1984
Real analysis. Zbl 1012.26001
DiBenedetto, Emmanuele
2002
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
1984
On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052
DiBenedetto, Emmanuele
1986
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.
1990
The initial value problem for the Boussinesq equations with data in $$L^p$$. Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
1980
Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018
DiBenedetto, Emmanuele
1982
On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Zbl 0762.35052
Andreucci, D.; DiBenedetto, Emmanuele
1991
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
2004
Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082
Alt, H. W.; DiBenedetto, Emmanuele
1985
On the maximum principle for pseudoparabolic equations. Zbl 0495.35047
DiBenedetto, Emmanuele; Pierre, Michel
1981
Partial differential equations. Zbl 0818.35001
DiBenedetto, Emmanuele
1995
On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047
Chen, Ya-Zhe; DiBenedetto, Emmanuele
1988
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
1984
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
2010
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuelle; Friedman, Avner
1985
Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017
DiBenedetto, Emmanuele
1988
Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029
Chen, Yazhe; DiBenedetto, E.
1992
Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052
Chan, Yazhe; DiBenedetto, Emmanuele
1989
Partial differential equations. 2nd ed. Zbl 1188.35001
DiBenedetto, Emmanuele
2010
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
1991
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
1986
A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044
DiBenedetto, Emmanuele
1986
Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006
DiBenedetto, Emmanuele; Kwong, Y. C.
1992
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.
1996
On the singular equation $$\beta (u)_ t=\Delta u$$. Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
1995
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.
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
1980
Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080
Chen, Gui-Qiang; DiBenedetto, Emmanuele
2001
A new approach to initial traces in nonlinear filtration. Zbl 0723.35014
Andreucci, D.; DiBenedetto, Emmanuele
1990
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
1984
Local clustering of the non-zero set of functions in $$W^{1,1} (E)$$. Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
1997
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
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
2010
Conduction-convection problems with change of phase. Zbl 0593.35085
DiBenedetto, Emmanuele; Friedman, Avner
1986
Harnack estimates in certain function classes. Zbl 0698.35023
DiBenedetto, Emmanuele
1989
Bubble growth in porous media. Zbl 0667.35074
DiBenedetto, Emmanuele; Friedman, Avner
1986
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
2016
A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050
DiBenedetto, E.; Showalter, R. E.
1982
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
1980
The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101
DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner
1986
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
1983
Regularity results for the porous media equation. Zbl 0428.76074
DiBenedetto, E.
1979
A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083
DiBenedetto, Emmanuele; Showalter, R. E.
1983
Real analysis. 2nd edition. Zbl 1353.26001
DiBenedetto, Emmanuele
2016
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
2010
Liouville-type theorems for certain degenerate and singular parabolic equations. Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
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
2009
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.
2003
On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
2012
Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
2012
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084
DiBenedetto, Emmanuele; O’Leary, M.
1993
Flow of oil and water through porous media. Zbl 0588.76166
Alt, H. W.; DiBenedetto, E.
1984
Regularity properties of the solution of an $$n$$-dimensional two-phase Stefan problem. Zbl 0458.35098
DiBenedetto, E.
1980
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
1978
Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001
DiBenedetto, Emmanuele
2011
On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066
Chen, Yazhe; DiBenedetto, E.
1993
Degenerate and singular parabolic equations. Zbl 0812.35069
DiBenedetto, Emmanuele
1993
Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037
Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura
1978
Some properties of De Giorgi classes. Zbl 1432.35066
DiBenedetto, Emmanuele; Gianazza, Ugo
2016
A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053
DiBenedetto, Emmanuele; Gianazza, Ugo
2016
Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2002
Existence for a problem in ground freezing. Zbl 0592.76131
DiBenedetto, E.; Elliott, C. M.
1985
Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046
DiBenedetto, Emmanuele
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
2017
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
2014
Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2006
Some mathematical problems in visual transduction. Zbl 1081.92012
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2005
Weak solutions of the type of nonstationary filtration. Zbl 0794.35020
Andreucci, D.; DiBenedetto, Emmanuele
1992
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
1992
On a free boundary problem related to an irreversible process. Zbl 0615.35088
DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario
1985
Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081
DiBenedetto, E.
1983
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1983
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
2017
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
2016
Real analysis. 2nd edition. Zbl 1353.26001
DiBenedetto, Emmanuele
2016
Some properties of De Giorgi classes. Zbl 1432.35066
DiBenedetto, Emmanuele; Gianazza, Ugo
2016
A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053
DiBenedetto, Emmanuele; Gianazza, Ugo
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
2014
On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
2012
Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian
2012
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2011
Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001
DiBenedetto, Emmanuele
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
2010
Partial differential equations. 2nd ed. Zbl 1188.35001
DiBenedetto, Emmanuele
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
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
2010
Liouville-type theorems for certain degenerate and singular parabolic equations. Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
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
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
2009
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Local clustering of the non-zero set of functions in $$W^{1,1} (E)$$. Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2006
Some mathematical problems in visual transduction. Zbl 1081.92012
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
2005
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
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.
2003
Real analysis. Zbl 1012.26001
DiBenedetto, Emmanuele
2002
Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029
Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele
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
2001
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
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.
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.
1996
Partial differential equations. Zbl 0818.35001
DiBenedetto, Emmanuele
1995
On the singular equation $$\beta (u)_ t=\Delta u$$. Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
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.
1993
Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084
DiBenedetto, Emmanuele; O’Leary, M.
1993
On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066
Chen, Yazhe; DiBenedetto, E.
1993
Degenerate and singular parabolic equations. Zbl 0812.35069
DiBenedetto, Emmanuele
1993
Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029
Chen, Yazhe; DiBenedetto, E.
1992
Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006
DiBenedetto, Emmanuele; Kwong, Y. C.
1992
Weak solutions of the type of nonstationary filtration. Zbl 0794.35020
Andreucci, D.; DiBenedetto, Emmanuele
1992
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
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
1991
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
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.
1990
A new approach to initial traces in nonlinear filtration. Zbl 0723.35014
Andreucci, D.; DiBenedetto, Emmanuele
1990
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
1989
Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052
Chan, Yazhe; DiBenedetto, Emmanuele
1989
Harnack estimates in certain function classes. Zbl 0698.35023
DiBenedetto, Emmanuele
1989
On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047
Chen, Ya-Zhe; DiBenedetto, Emmanuele
1988
Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017
DiBenedetto, Emmanuele
1988
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
1987
On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052
DiBenedetto, Emmanuele
1986
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
1986
A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044
DiBenedetto, Emmanuele
1986
Conduction-convection problems with change of phase. Zbl 0593.35085
DiBenedetto, Emmanuele; Friedman, Avner
1986
Bubble growth in porous media. Zbl 0667.35074
DiBenedetto, Emmanuele; Friedman, Avner
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
1986
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
1985
Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082
Alt, H. W.; DiBenedetto, Emmanuele
1985
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuelle; Friedman, Avner
1985
Existence for a problem in ground freezing. Zbl 0592.76131
DiBenedetto, E.; Elliott, C. M.
1985
On a free boundary problem related to an irreversible process. Zbl 0615.35088
DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario
1985
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
1984
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
1984
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
1984
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
1984
Flow of oil and water through porous media. Zbl 0588.76166
Alt, H. W.; DiBenedetto, E.
1984
$$C^{1+\alpha}$$ local regularity of weak solutions of degenerate elliptic equations. Zbl 0539.35027
DiBenedetto, E.
1983
Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042
DiBenedetto, Emmanuele
1983
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
1983
A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083
DiBenedetto, Emmanuele; Showalter, R. E.
1983
Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081
DiBenedetto, E.
1983
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1983
Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018
DiBenedetto, Emmanuele
1982
A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050
DiBenedetto, E.; Showalter, R. E.
1982
Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046
DiBenedetto, Emmanuele
1982
Implicit degenerate evolution equations and applications. Zbl 0477.47037
DiBenedetto, Emmanuele; Showalter, R. E.
1981
On the maximum principle for pseudoparabolic equations. Zbl 0495.35047
DiBenedetto, Emmanuele; Pierre, Michel
1981
The initial value problem for the Boussinesq equations with data in $$L^p$$. Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
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
1980
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
1980
Regularity properties of the solution of an $$n$$-dimensional two-phase Stefan problem. Zbl 0458.35098
DiBenedetto, E.
1980
Regularity results for the porous media equation. Zbl 0428.76074
DiBenedetto, E.
1979
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
1978
Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037
Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura
1978
all top 5

#### Cited by 2,070 Authors

 43 Mingione, Giuseppe 38 Vazquez, Juan Luis 36 Vespri, Vincenzo Riccardo 35 DiBenedetto, Emmanuele 34 Kuusi, Tuomo 27 Sciunzi, Berardino 26 Gianazza, Ugo Pietro 25 Byun, Sun-Sig 24 Bögelein, Verena 24 Yao, Fengping 24 Zhan, Huashui 24 Zhou, Shulin 21 Duzaar, Frank 21 Mu, Chunlai 21 Parviainen, Mikko 16 Kinnunen, Juha 16 Yin, Jingxue 15 Gao, Wenjie 15 Ok, Jihoon 15 Urbano, José Miguel 14 Andreucci, Daniele 14 Baroni, Paolo 14 Bonforte, Matteo 14 Ivanov, Aleksandr Vasil’evich 14 Lindqvist, Peter 14 Scheven, Christoph 14 Schwarzacher, Sebastian 13 Bertsch, Michiel 13 Grillo, Gabriele 13 Marcellini, Paolo 13 Shang, Haifeng 13 Takáč, Peter 13 Zheng, Shenzhou 12 Peral Alonso, Ireneo 12 Valdinoci, Enrico 12 Zhang, Chao 11 Kieu, Thinh Tri 11 Tedeev, Anatoliĭ Fedorovich 11 Xu, Xiangsheng 10 Choe, Hi Jun 10 Hoang, Luan Thach 10 Kamin, Shoshana 10 Phan, Tuoc Van 10 Surnachëv, Mikhaĭl Dmitrievich 10 Wang, Lihe 9 Auchmuty, Giles 9 Drábek, Pavel 9 Farina, Alberto 9 Hilhorst, Danielle 9 Lieberman, Gary M. 9 Lukkari, Teemu 9 Montoro, Luigi 9 Nyström, Kaj 9 Zhao, Junning 8 Akagi, Goro 8 Aramaki, Junichi 8 Brasco, Lorenzo 8 Chen, Caisheng 8 Damascelli, Lucio 8 Diaz Diaz, Jesus Ildefonso 8 Diening, Lars 8 Gilardi, Gianni 8 Iagar, Razvan Gabriel 8 Liao, Naian 8 Muratori, Matteo 8 Porzio, Maria Michaela 8 Quirós Gracián, Fernando 8 Rodrigues, José Francisco 8 Showalter, Ralph E. 8 Skrypnik, Igor Igorievich 8 Wang, Mingxin 8 Wang, Yifu 8 Xu, Xiaojing 7 Abdulla, Ugur G. 7 Alves, Claudianor Oliveira 7 Avelin, Benny 7 Bhattacharya, Tilak 7 Carl, Siegfried 7 Guo, Bin 7 Henriques, Eurica 7 Hui, Kin Ming 7 Kim, Sunghoon 7 Korte, Riikka 7 Lee, Ki-Ahm 7 Lewis, John L. 7 Mazón Ruiz, José M. 7 Mimura, Masayasu 7 Misawa, Masashi 7 Pang, Peter Y. H. 7 Perthame, Benoît 7 Singer, Thomas 7 Stefanelli, Ulisse 7 Véron, Laurent 7 Zheng, Sining 7 Zhikov, Vasiliĭ Vasil’evich 7 Zhou, Jun 6 Antontsev, Stanislav Nikolaevich 6 Björn, Jana 6 Cao, Chunling 6 Cianchi, Andrea ...and 1,970 more Authors
all top 5

#### Cited in 289 Serials

 204 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 191 Journal of Differential Equations 169 Journal of Mathematical Analysis and Applications 74 Calculus of Variations and Partial Differential Equations 60 Nonlinear Analysis. Theory, Methods & Applications 46 Annali di Matematica Pura ed Applicata. Serie Quarta 43 Archive for Rational Mechanics and Analysis 43 Journal of Functional Analysis 43 Communications in Partial Differential Equations 40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 39 Manuscripta Mathematica 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 Proceedings of the American Mathematical Society 32 Transactions of the American Mathematical Society 30 Mathematical Methods in the Applied Sciences 30 Journal of Mathematical Sciences (New York) 29 NoDEA. Nonlinear Differential Equations and Applications 28 Nonlinear Analysis. Real World Applications 27 Advances in Mathematics 26 Mathematische Annalen 25 Applicable Analysis 25 Applied Mathematics Letters 23 Discrete and Continuous Dynamical Systems 21 Journal of Evolution Equations 20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Boundary Value Problems 15 Computers & Mathematics with Applications 15 Communications in Contemporary Mathematics 14 SIAM Journal on Mathematical Analysis 14 Potential Analysis 14 Acta Mathematica Sinica. English Series 13 Zeitschrift für Analysis und ihre Anwendungen 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Communications on Pure and Applied Analysis 11 Journal of Mathematical Physics 11 Applied Mathematics and Computation 11 Revista Matemática Iberoamericana 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 11 Journal of the European Mathematical Society (JEMS) 11 Discrete and Continuous Dynamical Systems. Series S 10 Journal of Inequalities and Applications 9 Israel Journal of Mathematics 9 Journal d’Analyse Mathématique 9 Acta Applicandae Mathematicae 9 Acta Mathematicae Applicatae Sinica. English Series 9 European Journal of Applied Mathematics 9 The Journal of Geometric Analysis 9 Journal of Function Spaces 8 Rocky Mountain Journal of Mathematics 8 Archiv der Mathematik 8 Journal of Soviet Mathematics 8 Chinese Annals of Mathematics. Series B 8 Abstract and Applied Analysis 8 Journal of Mathematical Fluid Mechanics 7 Applied Mathematics and Optimization 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Rendiconti del Seminario Matematico della Università di Padova 7 Applications of Mathematics 7 Journal of Dynamics and Differential Equations 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Computational and Applied Mathematics 6 Japan Journal of Industrial and Applied Mathematics 6 Mediterranean Journal of Mathematics 6 Advances in Nonlinear Analysis 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 SIAM Journal on Numerical Analysis 5 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 5 Physica D 5 Japan Journal of Applied Mathematics 5 Numerical Methods for Partial Differential Equations 5 International Journal of Mathematics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Computational Geosciences 5 Differential Equations 5 Advanced Nonlinear Studies 5 Milan Journal of Mathematics 5 Complex Variables and Elliptic Equations 5 Advances in Calculus of Variations 4 Journal of Computational Physics 4 Mathematical Notes 4 Duke Mathematical Journal 4 Mathematics and Computers in Simulation 4 Proceedings of the Japan Academy. Series A 4 Ricerche di Matematica 4 Journal of Scientific Computing 4 Applied Mathematics. Series B (English Edition) 4 Doklady Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Fixed Point Theory and Applications 4 Kinetic and Related Models 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Indian Journal of Pure & Applied Mathematics ...and 189 more Serials
all top 5

#### Cited in 45 Fields

 2,002 Partial differential equations (35-XX) 297 Fluid mechanics (76-XX) 162 Calculus of variations and optimal control; optimization (49-XX) 86 Operator theory (47-XX) 85 Numerical analysis (65-XX) 81 Global analysis, analysis on manifolds (58-XX) 75 Functional analysis (46-XX) 68 Biology and other natural sciences (92-XX) 62 Classical thermodynamics, heat transfer (80-XX) 61 Potential theory (31-XX) 43 Probability theory and stochastic processes (60-XX) 41 Differential geometry (53-XX) 37 Ordinary differential equations (34-XX) 31 Mechanics of deformable solids (74-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Real functions (26-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Integral equations (45-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Systems theory; control (93-XX) 14 Geophysics (86-XX) 13 Measure and integration (28-XX) 12 Optics, electromagnetic theory (78-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Functions of a complex variable (30-XX) 7 Information and communication theory, circuits (94-XX) 6 Difference and functional equations (39-XX) 6 Operations research, mathematical programming (90-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)