Classical solutions of fully nonlinear parabolic equations

Yi Cao; Dongsheng Li; Lihe Wang

doi:10.1007/s00013-010-0142-0

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Classical solutions of fully nonlinear parabolic equations

Journal article

Peer reviewed

Classical solutions of fully nonlinear parabolic equations

Yi Cao, Dongsheng Li and Lihe Wang

Archiv der Mathematik, Vol.95(1), pp.53-61

07/2010

DOI: 10.1007/s00013-010-0142-0

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Abstract

In this paper, we study the classical solutions of the fully nonlinear parabolic equation ut−F(D2xu)=0, where the nonlinear operator F is locally C 1,β almost everywhere with 0 < β < 1. The interior C 2,α regularity of the classical solutions will be shown without the assumption that F is convex (or concave)

Details

Title: Subtitle: Classical solutions of fully nonlinear parabolic equations
Creators: Yi Cao
Dongsheng Li
Lihe Wang
Resource Type: Journal article
Publication Details: Archiv der Mathematik, Vol.95(1), pp.53-61
DOI: 10.1007/s00013-010-0142-0
ISSN: 0003-889X
eISSN: 1420-8938
Language: English
Date published: 07/2010
Academic Unit: Mathematics
Record Identifier: 9984084000302771

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