UNIQUENESS OF SOLUTIONS OF PARABOLIC SEMILINEAR NONLOCAL-BOUNDARY PROBLEMS

被引：16

作者：

BYSZEWSKI, L ^{[1
]}

机构：

[1] CRACOW UNIV TECHNOL,INST MATH,PL-31155 KRAKOW,POLAND

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 165卷 / 02期

关键词：

D O I：

10.1016/0022-247X(92)90052-F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the paper is to give two theorems about the uniqueness of solutions of parabolic semilinear nonlocal-boundary problems. The paper is a continuation of previous papers by Byszewski and the generalization of some results from [R. Rabczuk, "Introduction to Differential Inequalities," PWN, Warsaw, 1976 [Polish]; J. Chabrowski, On nonlocal problems for parabolic equations, Nagoya Math. J. 93 (1984), 109-131], The theorems obtained in this paper can be applied in the theories of diffusion and heat conduction with better effects than the analogous theorems about parabolic initial-boundary problems and than the analogous theorems about parabolic periodic-boundary problems. © 1992.

引用

页码：472 / 478

页数：7

共 10 条

[1] STRONG MAXIMUM-PRINCIPLES FOR PARABOLIC NONLINEAR PROBLEMS WITH NONLOCAL INEQUALITIES TOGETHER WITH ARBITRARY FUNCTIONALS
BYSZEWSKI, L
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[2] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM
BYSZEWSKI, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) : 494 - 505
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[7] BYSZEWSKI L, 1990, J APPL MATH STOCHAST, P65
[8] ON NON-LOCAL PROBLEMS FOR PARABOLIC EQUATIONS
CHABROWSKI, J
[J]. NAGOYA MATHEMATICAL JOURNAL, 1984, 93 (MAR) : 109 - 131
[9] KRZYZANSKI M, 1971, PARTIAL DIFFERENTIAL, V1
[10] RABCZUK R, 1976, INTRO DIFFERENTIAL I

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