Regularity in Sobolev spaces for doubly nonlinear parabolic equations

Carsten Ebmeyer; José Miguel Urbano

doi:10.1016/S0022-0396(02)00093-1

Regularity in Sobolev spaces for doubly nonlinear parabolic equations

Carsten Ebmeyer, José Miguel Urbano

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

10 Scopus citations

Abstract

The doubly nonlinear parabolic equation u t = div { ∇( u m-1 u) p-2 ∇( u m-1 u)] (m> 1, m(p-1> 1) is considered in several dimensions and regularity results in fractional order Sobolev spaces are obtained. The main tools in the proof are a difference quotient technique and the imbedding theorem of Nikolskii spaces into Sobolev spaces. © 2002 Elsevier Science (USA). All rights reserved.

Original language	English (US)
Pages (from-to)	375-390
Number of pages	16
Journal	Journal of Differential Equations
Volume	187
Issue number	2
DOIs	https://doi.org/10.1016/S0022-0396(02)00093-1
State	Published - Jan 20 2003
Externally published	Yes

ASJC Scopus subject areas

Analysis

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10.1016/S0022-0396(02)00093-1

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AU - Urbano, José Miguel

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AB - The doubly nonlinear parabolic equation u t = div { ∇( u m-1 u) p-2 ∇( u m-1 u)] (m> 1, m(p-1> 1) is considered in several dimensions and regularity results in fractional order Sobolev spaces are obtained. The main tools in the proof are a difference quotient technique and the imbedding theorem of Nikolskii spaces into Sobolev spaces. © 2002 Elsevier Science (USA). All rights reserved.

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DO - 10.1016/S0022-0396(02)00093-1

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JF - Journal of Differential Equations

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ER -

Regularity in Sobolev spaces for doubly nonlinear parabolic equations

Abstract

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