The smoothing property for a class of doubly nonlinear parabolic equations

Carsten Ebmeyer; Jose Miguel Urbano

doi:10.1090/S0002-9947-05-03790-6

The smoothing property for a class of doubly nonlinear parabolic equations

Carsten Ebmeyer, Jose Miguel Urbano

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p-Laplace equation. The result is obtained via regularization and a comparison theorem. © 2005 American Mathematical Society.

Original language	English (US)
Pages (from-to)	3239-3253
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	357
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9947-05-03790-6
State	Published - Aug 1 2005
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

General Mathematics

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10.1090/S0002-9947-05-03790-6

Cite this

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title = "The smoothing property for a class of doubly nonlinear parabolic equations",

abstract = "We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p-Laplace equation. The result is obtained via regularization and a comparison theorem. {\textcopyright} 2005 American Mathematical Society.",

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N2 - We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p-Laplace equation. The result is obtained via regularization and a comparison theorem. © 2005 American Mathematical Society.

AB - We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p-Laplace equation. The result is obtained via regularization and a comparison theorem. © 2005 American Mathematical Society.

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 8

ER -

The smoothing property for a class of doubly nonlinear parabolic equations

Abstract

Bibliographical note

ASJC Scopus subject areas

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