Parabolic equations of Von Karman type on Kahler manifolds, II

Journal article

Authors / Editors

Milani, Albert

Research Areas

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Publication Details

Author list: Cherrier P, Milani A

Publisher: Elsevier

Place: PARIS

Publication year: 2009

Journal: Bulletin des Sciences Mathématiques (0007-4497)

Journal acronym: B SCI MATH

Volume number: 133

Issue number: 2

Start page: 113

End page: 133

Number of pages: 21

ISSN: 0007-4497

Languages: English-Great Britain (EN-GB)

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Abstract

We complete the study of a parabolic version of a system of Von Karman type on a compact Kahler manifold of complex dimension in. We consider a family of problems (P)(k). We prove existence of local in time solutions when k = 0. When -m <= k < 0, we define a notion of weak solution, and give some uniqueness and existence results. (c) 2009 Elsevier Masson SAS. All rights reserved.

Keywords

A priori estimates, elliptic system of Von Karman type, Kahler manifold, parabolic equation, Sobolev spaces

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