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具非线性边界条件的非线性发展方程解的Blow up
Blow up of the Solution for Nonlinear Evolution Equation with a Nonlinear Boundary Condition
【摘要】 讨论一类非线性发展方程具有非线性边界条件的初边值问题.在某些假设条件下,利用抛物型方程的最大值原理和凸性方法证明了其解在有限时间内具有爆破性质.
【Abstract】 The initial-boundary value problem under the nonlinear boundary condition for a kind of nonlinear evolution equations is discussed.To apply the maximum value theory and convex method of parabolic equation,it is proved that the blowing up of solution in the definite time under some assumed conditions.
【关键词】 非线性发展方程;
初边值问题;
解的爆破;
人口生态学;
【Key words】 Nonlinear evolution equation; Initial-boundary value problem; Blowing up of solution; Population biology;
【Key words】 Nonlinear evolution equation; Initial-boundary value problem; Blowing up of solution; Population biology;
【基金】 重庆市科委科技项目基金(CSTC,2005EA7036)
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2009年03期
- 【分类号】O175.26
- 【下载频次】54