A BLOW-UP RESULT FOR A CLASS DOUBLY NONLINEAR PARABOLIC EQUATIONS WITH VARIABLE-EXPONENT NONLINEARITIES

被引：1
|
作者：
Qingying Hu [1 ]
Donghao Li [1 ]
Hongwei Zhang [1 ]
机构：
[1] Dept.of Math., Henan University of Technology
来源：
AnnalsofAppliedMathematics | 2019年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
doubly nonlinear parabolic equations; variable-exponent nonlinearities; blow-up;
D O I：
暂无
中图分类号：
O175.26 [抛物型方程];
学科分类号：
摘要：
This paper deals with the following doubly nonlinear parabolic equations(u + |u|;u)t-div(|?u|;?u) = |u|;u, where the exponents of nonlinearity r（x）, m（x） and p（x） are given functions. Under some appropriate assumptions on the exponents of nonlinearity, and with certain initial data, a blow-up result is established with positive initial energy.
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页码：145 / 151
页数：7
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