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非线性发展方程混合问题解的爆破性质
Blow up Property of Solutions to the Mixed Problem of Nonlinear Evolution Equations
【摘要】 讨论了具有第三类非线性边界条件的非线性发展方程的混合问题,并在已知函数满足某些假设的条件下,利用抛物型方程的最大值原理和凸性方法,证明了该问题的解在有限时间内爆破.
【Abstract】 The mixed problem with nonlinear boundary condition of the third type for nonlinear evolution equations is discussed.The blow up of solutions in a finite time is proved under some assumptions on known functions by the maximum principle and the convex method of parabolic equation.
【关键词】 非线性发展方程;
第三类边界条件;
解的爆破;
凸性方法;
【Key words】 Nonlinear evolution equation; Boundary condition of the third type; Blow up of solution; Convex method;
【Key words】 Nonlinear evolution equation; Boundary condition of the third type; Blow up of solution; Convex method;
【基金】 重庆市科委科研基金(No.07EA7036)资助的项目
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics , 编辑部邮箱 ,2012年03期
- 【分类号】O175.29
- 【被引频次】1
- 【下载频次】57