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带有变指数的非线性抛物方程的爆破

Blow-up for a Nonlinear Parabolic Equation with a Variable Exponent
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摘要 考虑了带有变指数的非线性退化抛物方程非负解的爆破行为.使用特征函数方法和不等式技巧,得到了其非线性问题非负解在有限时刻爆破的充分条件. The blow - up behavior of nonnegative solutions is studied to the following nonlinear degenerate parabolic equation with a variable exponent. By using the eigenfunction method and inequality technique on it,the sufficient condition for blow - up nonnegative solutions of the equation with homogeneous dir/chlet boundary condition is obtained.
作者 唐树乔
机构地区 亳州师范高等专科学校理化系
出处 《佳木斯大学学报（自然科学版）》 CAS 2013年第5期777-778,780,共3页 Journal of Jiamusi University：Natural Science Edition
基金 安徽省教育厅自然科学课题(KJ2011Z258 KJ2013Z217) 亳州师专科研课题(BZSZKYXM201111)
关键词 变指数 退化抛物方程 爆破 variable exponent degenerate parabolic equation blow - up.
分类号 O175.26 [理学—基础数学]
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参考文献14

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佳木斯大学学报（自然科学版）
2013年 第5期

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