THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

doi:10.1016/S0252-9602(06)60047-7

数学物理学报(英文版)

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

招燕燕; 陈祖墀

中国科技大学数学系, 合肥 230026

收稿日期:2003-11-17 修回日期:2004-05-24 出版日期:2006-04-20 发布日期:2006-04-20
通讯作者: 招燕燕
基金资助:
The project is supported by NNSF of China (10371116)

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

Zhao Yanyan; Chen Zuchi

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2003-11-17 Revised:2004-05-24 Online:2006-04-20 Published:2006-04-20

摘要/Abstract

摘要：

This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic
Sobolev spaces an existence result is proved.

关键词: Weak solution, strongly degenerate, quasilinear parabolic equation

Abstract:

Key words: Weak solution, strongly degenerate, quasilinear parabolic equation

中图分类号:

35K55

招燕燕; 陈祖墀. THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES[J]. 数学物理学报(英文版), 2006, 26(2): 255-264.

Zhao Yanyan; Chen Zuchi. THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES[J]. Acta mathematica scientia,Series B, 2006, 26(2): 255-264.

[1]	李睿, 赖翀, 吴永洪. GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION[J]. 数学物理学报(英文版), 2018, 38(3): 915-925.
[2]	王光武, 郭柏灵. EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION TO THE INCOMPRESSIBLE NAVIER-STOKES-LANDAU-LIFSHITZ MODELIN 2-DIMENSION[J]. 数学物理学报(英文版), 2017, 37(5): 1361-1372.
[3]	Jae-Myoung KIM. LOCAL REGULARITY CRITERIA OF A SUITABLE WEAK SOLUTION TO MHD EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(4): 1033-1047.
[4]	Paweł SZAFRANIEC. ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS[J]. 数学物理学报(英文版), 2017, 37(4): 1048-1060.
[5]	郭柏灵, 席肖玉. GLOBAL WEAK SOLUTIONS TO ONE-DIMENSIONAL COMPRESSIBLE VISCOUS HYDRODYNAMIC EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(3): 573-583.
[6]	李蓓, 朱红锦, 赵才地. TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R³[J]. 数学物理学报(英文版), 2016, 36(5): 1369-1382.
[7]	Elhoussine AZROUL, Badr LAHMI, Ahmed YOUSSFI. STRONGLY NONLINEAR VARIATIONAL PARABOLIC EQUATIONS WITH p(x)-GROWTH[J]. 数学物理学报(英文版), 2016, 36(5): 1383-1404.
[8]	李进开, 辛周平. GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE NON-ISOTHERMAL NEMATIC LIQUID CRYSTALS IN 2D[J]. 数学物理学报(英文版), 2016, 36(4): 973-1014.
[9]	王伟伟. ON GLOBAL BEHAVIOR OF WEAK SOLUTIONS OF COMPRESSIBLE FLOWS OF NEMATIC LIQUID CRYSTALS[J]. 数学物理学报(英文版), 2015, 35(3): 650-672.
[10]	李为, 汪星, 黄南京. DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES[J]. 数学物理学报(英文版), 2015, 35(2): 407-422.
[11]	邱华, 房少梅. STOCHASTIC SIMPLIFIED BARDINA TURBULENT MODEL: EXISTENCE OF WEAK SOLUTION[J]. 数学物理学报(英文版), 2014, 34(4): 1041-1054.
[12]	Helmer A. FRIIS, Steinar EVJE. WELL-POSEDNESS OF A COMPRESSIBLE GAS-LIQUID MODEL FOR DEEPWATER OIL WELL OPERATIONS[J]. 数学物理学报(英文版), 2014, 34(1): 107-124.
[13]	Mohamed Ahmed Abdallah, 江飞, 谭忠. DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN[J]. 数学物理学报(英文版), 2012, 32(6): 2211-2220.
[14]	A. M. A. El-Sayed, H. H. G. Hashem. A COUPLED SYSTEM OF INTEGRAL EQUATIONS IN REFLEXIVE BANACH SPACES[J]. 数学物理学报(英文版), 2012, 32(5): 2021-2028.
[15]	王振, 张卉. FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL[J]. 数学物理学报(英文版), 2012, 32(1): 413-432.

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0