非线性边界条件下一致抛物型方程解的爆破  

Blow-up of Solution of Uniformly Parabolic Equations with Nonlinear Boundary Conditions

作　　者：王西静[1] 

机构地区：[1]晋城职业技术学院数学系,山西晋城048026

出　　处：《荆楚理工学院学报》2010年第11期50-53,共4页Journal of Jingchu University of Technology

摘　　要：为了发展一致抛物型方程解的整体存在和爆破理论,文章研究了一个非线性抛物型方程在非线性边界条件下解的爆破,以非线性抛物型方程解的泛涵的极大值原理为主要工具,结合比较原理、上下解方法和微分、积分不等式技巧,证明了其解在有限时间内具有爆破性质。To develop the global existence and blasting theory of the solution of nonlinear parabolic equation,the paper researched a blow-up of solution of nonlinear parabolic equation with nonlinear boundary condition.It proved its solution has blow-up at finite time using the maximum principle of nonlinear singular parabolic,together with comparative principle,the upper and lower solutions methods and differential calculus and integral inequalities skills.

关 键 词：一致抛物型方程 解的爆破 极大值原理 非线性边界条件 

分 类 号：O175.26[理学—数学]