一类指数超线性抛物方程的无穷时间爆破问题  

Infinite Time Blow-up for Superlinear Parabolic Problems

作　　者：罗森月 邓芳芳 LUO Senyue;DENG Fangfang(Department of Basic Education The Open University of Guangdong,Guangdong polytechnic Institute,Guangzhou 510091, Guangdong,China;School of Information and Engineering,The Open University of Guangdong,Guangdongpolyteehnic Institute, Guangzhou510091,Guangdong,China)

机构地区：[1]广东开放大学广东理工职业学院基础教学部,广东广州510091 [2]广东开放大学广东理工职业学院信息与工程学院,广东广州510091

出　　处：《惠州学院学报》2018年第6期55-59,共5页Journal of Huizhou University

基　　金：广东省普通高校青年创新人才基金资助项目(2015KQNCX243)

摘　　要：在狄利克雷边界条件下,考虑空间(0,1)上的非局部扩散方程u_t-u_(xx)=2~u+ln(u+1).若曲线x_0(t)始终保持在(0,1)的紧子集上,解在无穷时间发生爆破.Under the Dirichlet boundary conditions,We consider the nonlocal diffusion equation ut-uxx=2x+ln(x+1),on the space interval(0,1).If the curve x0(t) always remains in a compact subset of(0,1),then blow-up cannot occur in infinite time.

关 键 词：超线性 抛物型方程 爆破解 

分 类 号：O175[理学—数学]