| REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITHN EUMANN BOUNDARY CONDITIONS |
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| 作者姓名： | A. BENSOUSSAN J. FREHSE |
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| 作者单位： | ＵｎｉｖｅｒｓｉｔｙＰａｒｉｓ，Ｉｎｓｔｉｔｕｔ ｆｕｒ Ａｎｇｅｗａｎｄｔｅ Ｍａｔｈｅｍａｔｉｋ Ｄａｕｐｈｉｎｅａｎｄ ＣＮＥＳ(ＣｅｎｔｒｅＮａｔｉｏｎａｌｄ’Ｅｔｕｄｅｓ Ｓｐａｔｉａｌｅｓ)，２，ＰｌａｃｅＭａｕｒｉｃｅＱｕｅｎｔｉｎ，７５００１，Ｐａｒｉ |
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| 摘 要： | Inroductlonu consider here a system
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| 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 |
| 收稿时间： | 2027/12/1 0:00:00 |
REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS |
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| A. BENSOUSSAN,J. FREHSE.REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITHN EUMANN BOUNDARY CONDITIONS[J].Chinese Annals of Mathematics,Series B,2002,23(2):165-180. |
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| Authors: | A BENSOUSSAN and J FREHSE |
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| Institution: | 1. University Paris Dauphine and CNES (Centre National d'Etudes Spatiales), 2, Place Maurice Quentin.75001, Paris, France.
2. Institüt für Angewandte Mathematik, Universitat Bonn, Bonn, Germany. |
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| 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. |
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| Keywords: | Regularity theory Neumann boundary conditions Dirichlet problem |
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