Parabolic equations of Von Karman type on Kähler manifolds. II.
type: Item
instance of: scholarly article
title: Parabolic equations of Von Karman type on Kähler manifolds. II.
zbMATH Open document ID: 1159.58014
author: Pascal Cherrier
author: Albert Milani
published in: Bulletin des Sciences Mathématiques
publication date: 2009-03-11T00:00:00Z
review text: The authors complete the study of a parabolic version of a system of Von Karman type on a \(C^\infty\) compact Kähler manifold without boundary of complex dimension \(m,\) initiated in [Bull. Sci. Math. 131, No. 4, 375--396 (2007; Zbl 1123.58014)]. Existence of local in time solutions of minimal regularity is proved. Moreover, the notion of weak solution is defined, and some uniqueness and existence results are given in particular cases when the rate of regularity depends on \(m.\)
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 32Q15
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5527921
zbMATH Keywords: Kähler manifold
zbMATH Keywords: parabolic equation
zbMATH Keywords: elliptic system of Von Karman type
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: a priori estimates
MaRDI profile type: Publication
full work available at URL: j.bulsci.2008.05.001
OpenAlex ID: W1996919372
cites work: On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
cites work: Q4016272
cites work: Parabolic equations of von Kármán type on Kähler manifolds
cites work: Q5890172
cites work: Q5628582
DOI: 10.1016/J.BULSCI.2008.05.001
description: scientific article; zbMATH DE number 5527921