Harnack's Inequality for Degenerate and Singular Parabolic Equations

Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several author...

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Detalles Bibliográficos
Autores principales: DiBenedetto, Emmanuele, Gianazza, Ugo, Vespri, Vincenzo
Lenguaje:eng
Publicado: Springer 2012
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-1-4614-1584-8
http://cds.cern.ch/record/1486673
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author DiBenedetto, Emmanuele
Gianazza, Ugo
Vespri, Vincenzo
author_facet DiBenedetto, Emmanuele
Gianazza, Ugo
Vespri, Vincenzo
author_sort DiBenedetto, Emmanuele
collection CERN
description Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive
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institution Organización Europea para la Investigación Nuclear
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spelling cern-14866732021-04-22T00:16:20Zdoi:10.1007/978-1-4614-1584-8http://cds.cern.ch/record/1486673engDiBenedetto, EmmanueleGianazza, UgoVespri, VincenzoHarnack's Inequality for Degenerate and Singular Parabolic EquationsMathematical Physics and MathematicsDegenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive Springeroai:cds.cern.ch:14866732012
spellingShingle Mathematical Physics and Mathematics
DiBenedetto, Emmanuele
Gianazza, Ugo
Vespri, Vincenzo
Harnack's Inequality for Degenerate and Singular Parabolic Equations
title Harnack's Inequality for Degenerate and Singular Parabolic Equations
title_full Harnack's Inequality for Degenerate and Singular Parabolic Equations
title_fullStr Harnack's Inequality for Degenerate and Singular Parabolic Equations
title_full_unstemmed Harnack's Inequality for Degenerate and Singular Parabolic Equations
title_short Harnack's Inequality for Degenerate and Singular Parabolic Equations
title_sort harnack's inequality for degenerate and singular parabolic equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4614-1584-8
http://cds.cern.ch/record/1486673
work_keys_str_mv AT dibenedettoemmanuele harnacksinequalityfordegenerateandsingularparabolicequations
AT gianazzaugo harnacksinequalityfordegenerateandsingularparabolicequations
AT vesprivincenzo harnacksinequalityfordegenerateandsingularparabolicequations

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