吉林大学学报（理学版）2013，Vol.51Issue(4)：561-567,7.DOI:10.7694/jdxblxb20130404
一类具非局部边界条件的拟线性抛物方程解的整体存在与爆破
Global Existence and Blow-up of Solutions for a Quasilinear Parabolic Equation with Nonlocal Boundary Condition
摘要
Abstract
This paper deals with the global existence and blow-up of solutions to a quasi-linear parabolic equation u1 ＝ f(u)(Δ u + a∫n u(y,t)dy-u) with nonlocal boundary condition u(x,t)=∫nk(x,y)u(y,t)dy on(a)Ω where Ω is a bounded domain in RN with smooth boundary (a)Ω.Under some hypotheses on f(s) and k(x,y),we gave sufficient conditions for the finite time blow-up or global existence of solutions.In addition,the blow-up rate of solutions was derived for a special case.关键词
非局部边界条件/整体存在/爆破/爆破速率Key words
nonlocal boundary condition/ global existence/ blow-up/ blow-up rate分类
数理科学引用本文复制引用
孟繁慧,高文杰..一类具非局部边界条件的拟线性抛物方程解的整体存在与爆破[J].吉林大学学报（理学版）,2013,51(4):561-567,7.基金项目
国家自然科学基金(批准号:11271154)、吉林省高等教育研究重点项目和吉林大学"985工程"项目基金. （批准号:11271154）
