中国海洋大学学报（自然科学版）2012，Vol.42Issue(4)：92-96,5.
圆锥区域中变系数半线性抛物型微分不等式的刘维尔型定理
Liouville Theorems of Semi-linear Parabolic DifferentialInequalities with Variable Coefficients in Cone
摘要
Abstract
In this paper, the Liouville type theorems of semi-linear parabolic differential inequalities and systems of coupling inequalities with variable coefficients in cone were invertigated. First global weak solution was defined and the Universal estimation (independent of the initial value) of the solution was ert-ablished by constructing the test function, then the nonexistence of nonnegative non-trivial global weak solution within the appropriate critical exponent was achieved. The specialty of this method is that it does not use comparison theorems or the maximum principle.关键词
微分不等式/试验函数/刘维尔型定理Key words
differential inequalities/ test function/ Liouville type theorems AMS Subject classifications: 35K30/ 35K45/ 35B53分类
数理科学引用本文复制引用
方钟波,付超..圆锥区域中变系数半线性抛物型微分不等式的刘维尔型定理[J].中国海洋大学学报（自然科学版）,2012,42(4):92-96,5.基金项目
国家留学回国人员科研启动基金项目(910937020)资助 （910937020）
