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REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITHN EUMANN BOUNDARY CONDITIONS

REGULARITY THEORY FOR SYSTEMS OFPARTIAL DIFFERENTIAL EQUATIONS WITHNEUMANN BOUNDARY CONDITIONS
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摘要 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. 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.
机构地区 UniversityParis
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第2期165-180,共16页 数学年刊(B辑英文版)
关键词 正则性定理 偏微分方程 NEUMANN边界条件 算子 CARATHEODORY函数 估计 收敛性 DIRICHLET问题 Regularity theory, Neumann boundary conditions, Dirichlet problem
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参考文献3

  • 1Bensoussan,A.& Frehse,J.,Nonlinear partial differential equations and applications [M],SpringerVerlag,New York,2001.
  • 2Widman,K.O.,Holder continuity of solutions of elliptic equations [J],Manuscr.Math.,5(1971),299-308.
  • 3Nirenberg,L.,An extended interpolation inequality [J],Ann.Sc.Norm.Sup.Pisa,cl.Sc.IV.ser.20(1966),733-737.

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