具有非局部源双重退化抛物方程解爆破时间下界的估计  

Lower bound of blow-up time for double degenerate parabolic equation with nonlocal source

作　　者：吴秀兰 杨晓新 吴彦锐 WU Xiu-lan;YANG Xiao-xin;WU Yan-rui(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130012,China;Shool of Electronical and Information Engineering,Changchun University,Changchun 130012,China)

机构地区：[1]长春理工大学数学与统计学院,吉林长春130012 [2]长春大学电子信息工程学院,吉林长春130012

出　　处：《吉林师范大学学报（自然科学版）》2022年第3期51-54,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11301211)。

摘　　要：考虑了n(n≥3)维空间中,具有非局部源双重退化的抛物方程在Dirichlet边界条件下解的爆破性质.通过构造适当的辅助函数,结合微分不等式技巧,运用能量估计,给出了解爆破时间下界的估计.The Initial boundary value problem for a class of double degenerate parabolic equation with nonlocal source under Dirichlet boundary condition was discussed in n(n≥3)dimension space.The lower bound of blow-up time for the blow-up solution was established by differential inequality technique and auxiliary function.

关 键 词：双重退化 抛物方程 DIRICHLET边界条件 爆破时间下界 

分 类 号：O175.8[理学—数学]