非线性边界条件下一致抛物型方程解的整体存在  

Global Existence of Solutions of Nonlinear Parabolic Equation Under the Nonlinear Boundary Condition

作　　者：王西静[1] 

机构地区：[1]晋城职业技术学院,山西晋城048026

出　　处：《湖北民族学院学报（自然科学版）》2010年第4期436-438,共3页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：为了发展非线性方程解的整体存在和爆破理论,考虑了非线性抛物型方程ut=Lu+g(x,t)f(u)在非线形边界条件下解的整体存在.该模型源于自然界中广泛存在的扩散现象,以往的方法很难对它进行较详细的刻划.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,讨论了该类问题解的整体存在的条件.To develop the blasting theory of the whole equation of singular parabolic,the article considered the global existing of solutions of nonlinear parabolic equation under the nonlinear boundary condition.The models come from proliferation existed in the nature.It is very difficult to describe it carefully by the old methods.It turned out to have the quality of blasting by 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 解的整体存在 极大值原理 非线性边界条件 

分 类 号：O175.2[理学—数学]