THE NONLINEAR HEAT-EQUATION WITH ABSORPTION - EFFECTS OF VARIABLE-COEFFICIENTS

被引：16

作者：

KERSNER, R ^{[1
]}

NICOLOSI, F ^{[1
]}

机构：

[1] UNIV CATANIA,DEPT MATH,I-95125 CATANIA,ITALY

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 170卷 / 02期

关键词：

D O I：

10.1016/0022-247X(92)90036-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonnegative solutions to the nonlinear degenerate parabolic equation ut = (D(x, t)um - 1ux)x - b(x, t)up with m > 1, 0 < p < 1, and positive D(x, t), b(x, t). After obtaining the uniqueness and Hölder regularity results, we investigate the dependence of such phenomena as extinction in finite time and instantaneous shrinking of the support on the behaviour of D(x, t) and b(x, t). © 1992.

引用

页码：551 / 566

页数：16

共 24 条

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