Parabolic equations of Von Karman type on Kähler manifolds

Pascal Cherrier; Albert Milani

doi:10.1016/j.bulsci.2006.05.008

Parabolic equations of Von Karman type on Kähler manifolds

Pascal Cherrier
, Albert Milani

Mathematics & Statistical Sciences

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

3 Citations (Scopus)

Abstract

We study a parabolic version of a system of Von Karman type on a compact Kähler manifold of arbitrary dimension. We provide local in time regular solutions, which can be extended to global bounded ones if the data of the problem are small.

Original language	English
Pages (from-to)	375-396
Number of pages	22
Journal	Bulletin des Sciences Mathematiques
Volume	131
Issue number	4
DOIs	https://doi.org/10.1016/j.bulsci.2006.05.008
Publication status	Published - Jun 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.bulsci.2006.05.008

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title = "Parabolic equations of Von Karman type on K{\"a}hler manifolds",

abstract = "We study a parabolic version of a system of Von Karman type on a compact K{\"a}hler manifold of arbitrary dimension. We provide local in time regular solutions, which can be extended to global bounded ones if the data of the problem are small.",

keywords = "A priori estimates, Elliptic system of Von Karman type, K{\"a}hler manifold, Parabolic equation, Sobolev spaces",

author = "Pascal Cherrier and Albert Milani",

year = "2007",

month = jun,

doi = "10.1016/j.bulsci.2006.05.008",

language = "English",

volume = "131",

pages = "375--396",

journal = "Bulletin des Sciences Mathematiques",

issn = "0007-4497",

publisher = "Elsevier Masson s.r.l.",

number = "4",

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T1 - Parabolic equations of Von Karman type on Kähler manifolds

AU - Cherrier, Pascal

AU - Milani, Albert

PY - 2007/6

Y1 - 2007/6

N2 - We study a parabolic version of a system of Von Karman type on a compact Kähler manifold of arbitrary dimension. We provide local in time regular solutions, which can be extended to global bounded ones if the data of the problem are small.

AB - We study a parabolic version of a system of Von Karman type on a compact Kähler manifold of arbitrary dimension. We provide local in time regular solutions, which can be extended to global bounded ones if the data of the problem are small.

KW - A priori estimates

KW - Elliptic system of Von Karman type

KW - Kähler manifold

KW - Parabolic equation

KW - Sobolev spaces

UR - https://www.scopus.com/pages/publications/34249021527

UR - https://www.scopus.com/pages/publications/34249021527#tab=citedBy

U2 - 10.1016/j.bulsci.2006.05.008

DO - 10.1016/j.bulsci.2006.05.008

M3 - Article

AN - SCOPUS:34249021527

SN - 0007-4497

VL - 131

SP - 375

EP - 396

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 4

ER -

Parabolic equations of Von Karman type on Kähler manifolds

Abstract

All Science Journal Classification (ASJC) codes

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