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

被引：0

作者：

Benoussan, A

Frehse, J

机构：

[1] Univ Paris 09, F-75001 Paris, France

[2] CNES, F-75001 Paris, France

[3] Univ Bonn, Inst Angew Math, D-5300 Bonn, Germany

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 02期

关键词：

regularity theory; Neumann boundary conditions; Dirichlet problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：165 / 180

页数：16

共 50 条

[1] REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITHN EUMANN BOUNDARY CONDITIONS
Ａ．ＢＥＮＳＯＵＳＳＡＮ
Ｊ．ＦＲＥＨＳＥ
ChineseAnnalsofMathematics, 2002, (02) : 165 - 180
[2] Probabilistic approach for nonlinear partial differential equations and stochastic partial differential equations with Neumann boundary conditions
Ren, Jiagang
Wu, Jing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 477 (01) : 1 - 40
[3] Boundary Equations and Regularity Theory for Geometric Variational Systems with Neumann Data
Schikorra, Armin
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 229 (02) : 709 - 788
[4] Boundary Equations and Regularity Theory for Geometric Variational Systems with Neumann Data
Armin Schikorra
Archive for Rational Mechanics and Analysis, 2018, 229 : 709 - 788
[5] NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH STOCHASTIC NEUMANN BOUNDARY CONDITIONS
Kamrani, Minoo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (10): : 5337 - 5354
[6] A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions
Xu, Shengqiang
Duan, Jinqiao
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9532 - 9542
[7] DOMAIN DECOMPOSITION FOR ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS WITH NEUMANN BOUNDARY-CONDITIONS
GONZALEZ, R
WHEELER, MF
PARALLEL COMPUTING, 1987, 5 (1-2) : 257 - 263
[8] Boundary Conditions for Constrained Hyperbolic Systems of Partial Differential Equations
Nicolae Tarfulea
Acta Mathematica Vietnamica, 2021, 46 : 675 - 688
[9] Boundary Conditions for Constrained Hyperbolic Systems of Partial Differential Equations
Tarfulea, Nicolae
ACTA MATHEMATICA VIETNAMICA, 2021, 46 (04) : 675 - 688
[10] ON THE BOUNDARY CONDITIONS FOR PARTIAL DIFFERENTIAL EQUATIONS
谷超豪
Science China Mathematics, 1980, (08) : 939 - 944

← 1 2 3 4 5 →