STRONG MAXIMUM-PRINCIPLES FOR PARABOLIC NONLINEAR PROBLEMS WITH NONLOCAL INEQUALITIES TOGETHER WITH ARBITRARY FUNCTIONALS

被引：12

作者：

BYSZEWSKI, L ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 156卷 / 02期

关键词：

D O I：

10.1016/0022-247X(91)90409-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In [L. Byszewski, Z. Angew. Math. Mech. 70 (1990) 3, 202-206; L. Byszewski, J. Appl. Math. Stochastic Ann. 3 (1990) 5, 65-79], the author studied strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with particular functionals. Our purpose here is to extend results in [L. Byszewski, Z. Angew. Math. Mech. 70 (1990) 3, 202-206; L. Byszewski, J. Appl. Math. Stochastic Ann. 3 (1990) 5, 65-79] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with arbitrary functionals. The results obtained in this paper can be applied in the theories of diffusion and heat conduction. © 1991.

引用

页码：457 / 470

页数：14

共 11 条

[1]

STRONG MAXIMUM AND MINIMUM PRINCIPLES FOR PARABOLIC PROBLEMS WITH NONLOCAL INEQUALITIES [J].