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非线性抛物型方程初边值问题解的Blow up性质
BLOW UP PROPERTY OF THE SOLUTION FOR INITIAL-BOUNDARY VALUE PROBLEM OF NONLINEAR PARABOLIC EQUATIONS
【摘要】 本文研究一类非线性抛物型方程具有非线性边界条件的初边值问题.利用抛物型方程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.推广了文献[7-9]的结果.
【Abstract】 This paper deals with the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear parabolic equations. By applying the maximum value theory of parabolic equation and convex method,it is proved that the blow up of solution in a definite time under some assumed conditions. The conclusion popularizes the results of refernces [7-9].
【关键词】 非线性抛物型方程;
初边值问题;
凸性方法;
解的爆破;
【Key words】 nonlinear parabolic equation; initial-boundary value problem; convex method; blow up of solution;
【Key words】 nonlinear parabolic equation; initial-boundary value problem; convex method; blow up of solution;
【基金】 重庆市科委科技基金项目(CSTC,2005EA7036)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2009年04期
- 【分类号】O175.26
- 【被引频次】4
- 【下载频次】91