Regularity theory for systems of partial differential equations with Neumann boundary conditions

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)165-180
Journal / PublicationChinese Annals of Mathematics. Series B
Volume23
Issue number2
Publication statusPublished - 2002
Externally publishedYes

Abstract

The objective of this paper is to consider the theory of regularity of systems of partial differential equations with Neumann boundary conditions. It complements previous works of the authors for the Dirichlet case. This type of problem is motivated by stochastic differential games. The Neumann case corresponds to stochastic differential equations with reflection on boundary of the domain.

Research Area(s)

  • Dirichlet problem, Neumann boundary conditions, Regularity theory