Blow-Up Solutions in a Parabolic Equation with Variable Coefficients and Memory Boundary Flux  

具有变系数和记忆边界流的抛物型方程的爆破解

作　　者：ZHANG An-lei LIU Bing-chen 张安蕾;刘丙辰

机构地区：[1]College of Science,China University of Petroleum,Qingdao 266580,China

出　　处：《Chinese Quarterly Journal of Mathematics》2025年第1期74-81,共8页数学季刊(英文版)

基　　金：Supported by Shandong Provincial Natural Science Foundation(Grant Nos.ZR2021MA003 and ZR2020MA020).

摘　　要：This paper deals with a semilinear parabolic problem involving variable coefficients and nonlinear memory boundary conditions.We give the blow-up criteria for all nonnegative nontrivial solutions,which rely on the behavior of the coefficients when time variable tends to positive infinity.Moreover,the global existence of solutions are discussed for non-positive exponents.

关 键 词：Semilinear parabolic equation Nonlinear memory boundary flux Variable coefficient BLOW-UP 

分 类 号：O175.26[理学—数学]