Blow-up and Critical Fujita Exponents in a Degenerate Parabolic Equation

作     者：Takefumi Igarashi 

作者机构：General Education Mathematics College of Science and Technology Nihon University Chiba 274-8501 Japan. 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2016年第6卷第7期

页      面：276-283页

学科分类：081901[工学-采矿工程] 0819[工学-矿业工程] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：blow-up global existence critical exponent degenerate parabolic equation. 

摘      要：In this paper, we consider the Cauchy problem of degenerate parabolic equation not in divergence form u, = uPAu ＋ uq, p 〉 1, q 〉 1, and give the blow-up conditions and the critical Fujita exponents for the existence of global and non-global solutions to the Cauchy problem.