中国海洋大学学报(自然科学版)2011,Vol.41Issue(6):125-129,5.
一类含有多重非线性项的双重退化抛物型方程组正解存在性
Existence of Positive Solutions for A Class of Doubly Degenerate Parabolic System with Multi-Coupled Nonlinearities
摘要
Abstract
This paper studys the global existence and blow-up of solutions of doubly degenerate parabolic system coupled with local source and nonlinear boundary flux. Under appropriate hypotheses, by a weak comparison principle, necessary and sufficient conditions on the global existence of all positive solutions are obtained.关键词
双重退化抛物型方程组/全局存在性/爆破/内部源/非线性边界流Key words
doubly degenerate parabolic system/ global existence/ blow-up/ local source/ nonlinear boundary flux分类
数理科学引用本文复制引用
葛岩岩,王建,庞润宏..一类含有多重非线性项的双重退化抛物型方程组正解存在性[J].中国海洋大学学报(自然科学版),2011,41(6):125-129,5.基金项目
国家自然科学基金项目(10371050) (10371050)
高校基本科研业务费青年教师科研专项基金项目(201113008)资助 (201113008)