A Note to the Cauchy Problem for the Degenerate Parabolic Equations with Strongly Nonlinear Sources  

作　　者：ZHENG Tingting ZHAO Junning 

机构地区：[1]School of Mathematics, Xiamen University, Fujian, Xiamen 361005, China.

出　　处：《Journal of Partial Differential Equations》2009年第3期199-204,共6页偏微分方程（英文版）

基　　金：The research is supported in part by the National Natural Science Foundation of China （No. 10131050）.

摘　　要：In this note we study the nonexistence of nontrivial global solutions on S = R^N × （0,∞） for the following inequalities：｜u｜t≥△（｜u｜^m-1u）＋｜u｜^q and ｜u｜t≥div（｜△u｜^p-2△｜u｜）＋｜u｜^q.When m,p,q satisfy some given conditions, the nonexistence of nontrivial global solution is proved, without taking their traces on the hyperplans t = 0 into account.

关 键 词：Nonlinear sources global solutions nonexistence. 

分 类 号：O175.27[理学—数学] O175.26[理学—基础数学]