Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

被引：0

作者：

Wen, Guo Chun ^{[1
]}

Chen, Dechang ^{[2
]}

Cheng, Xiuzhen ^{[3
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Uniformed Serv Univ Hlth Sci, Bethesda, MD 20814 USA

[3] George Washington Univ, Washington, DC 20052 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 07期

基金：

中国国家自然科学基金;

关键词：

initial-oblique derivative problem; nonlinear parabolic systems; high dimensional domains;

D O I：

10.1016/j.cnsns.2006.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1272 / 1280

页数：9

共 50 条

[11] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
闻国椿
Science China Mathematics, 1999, (07) : 681 - 690
[12] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
闻国椿
ScienceinChina,SerA., 1999, Ser.A.1999 (07) : 681 - 690
[13] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
Wen, GC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1999, 42 (07): : 681 - 690
[14] The oblique derivative problem for a nonuniformly parabolic equation
Pukal'skii, ID
DIFFERENTIAL EQUATIONS, 2001, 37 (12) : 1720 - 1730
[15] The Oblique Derivative Problem for a Nonuniformly Parabolic Equation
I. D. Pukal'skii
Differential Equations, 2001, 37 : 1720 - 1730
[16] The oblique derivative problem for nonlinear elliptic equations of second order in unbounded domains
Wen, Guochun
Xu, Zuoliang
MATHEMATICAL SCIENCES, 2012, 6 (01)
[17] The nonlinear oblique derivative problem in the plane
Giuffre, S
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (10): : 1081 - 1086
[18] Estimates of solutions of initial-irregular oblique derivative problems for fully nonlinear parabolic equations
Guochun WEN (Departmet of Mathematics
e-mail: wengc@pku.edu.cn) (Received October 24
Communications in Nonlinear Science & Numerical Simulation, 2000, (04) : 174 - 178
[19] ON PARABOLIC OBLIQUE DERIVATIVE PROBLEM WITH HOLDER CONTINUOUS COEFFICIENTS
GARRONI, MG
SOLONNIKOV, VA
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1984, 9 (14) : 1323 - 1372
[20] Oblique derivative problem for parabolic operators with VMO coefficients
Softova, L
MANUSCRIPTA MATHEMATICA, 2000, 103 (02) : 203 - 220

← 1 2 3 4 5 →