Parabolic equations of Von Karman type on Kähler manifolds, II

Pascal Cherrier; Albert Milani

doi:10.1016/j.bulsci.2008.05.001

Parabolic equations of Von Karman type on Kähler manifolds, II

Pascal Cherrier
, Albert Milani

Mathematics & Statistical Sciences

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

3 Citations (Scopus)

Abstract

We complete the study of a parabolic version of a system of Von Karman type on a compact Kähler manifold of complex dimension m. 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.

Original language	English
Pages (from-to)	113-133
Number of pages	21
Journal	Bulletin des Sciences Mathematiques
Volume	133
Issue number	2
DOIs	https://doi.org/10.1016/j.bulsci.2008.05.001
Publication status	Published - Mar 2009

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.bulsci.2008.05.001

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

abstract = "We complete the study of a parabolic version of a system of Von Karman type on a compact K{\"a}hler manifold of complex dimension m. 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.",

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 = "2009",

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doi = "10.1016/j.bulsci.2008.05.001",

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T1 - Parabolic equations of Von Karman type on Kähler manifolds, II

AU - Cherrier, Pascal

AU - Milani, Albert

PY - 2009/3

Y1 - 2009/3

N2 - We complete the study of a parabolic version of a system of Von Karman type on a compact Kähler manifold of complex dimension m. 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.

AB - We complete the study of a parabolic version of a system of Von Karman type on a compact Kähler manifold of complex dimension m. 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.

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/60649112249

UR - https://www.scopus.com/pages/publications/60649112249#tab=citedBy

U2 - 10.1016/j.bulsci.2008.05.001

DO - 10.1016/j.bulsci.2008.05.001

M3 - Article

AN - SCOPUS:60649112249

SN - 0007-4497

VL - 133

SP - 113

EP - 133

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 2

ER -

Parabolic equations of Von Karman type on Kähler manifolds, II

Abstract

All Science Journal Classification (ASJC) codes

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