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Boundary Estimates ...
Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
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- Avelin, Benny, 1984- (författare)
- Uppsala universitet,Analys och sannolikhetsteori
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- Gianazza, Ugo (författare)
- Dipartimento di Matematica "F. Casorati", Università di Pavia
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- Salsa, Sandro (författare)
- Dipartimento di Matematica "F. Brioschi", Politecnico di Milano
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(creator_code:org_t)
- 2016
- 2016
- Engelska.
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Ingår i: Journal of the European Mathematical Society (Print). - 1435-9855 .- 1435-9863. ; 18:2, s. 381-424
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Abstract
Ämnesord
Stäng
- We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic p-Laplace equation. Assuming that such solutions continuously vanish on some distinguished part of the lateral part S-T of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences under additional assumptions on the equation or the domain. We then prove analogous estimates for non-negative solutions to a class of degenerate/singular parabolic equations of porous medium type.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Degenerate and singular parabolic equations; Harnack estimates; boundary Harnack inequality; Carleson estimate
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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