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.
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.
出处
《数学年刊(A辑)》
CSCD
北大核心
2012年第3期383-388,共6页
Chinese Annals of Mathematics
基金
重庆市科委科研基金(No.07EA7036)资助的项目
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
Nonlinear evolution equation, Boundary condition of the thirdtype, Blow up of solution, Convex method