带有非线性边界条件的非线性抛物型方程组的爆破速率估计

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 401-405.

带有非线性边界条件的非线性抛物型方程组的爆破速率估计

Department of Mathematics, Zhengzhou Teacher's College, Zhengzhou 450044, China

收稿日期:2003-05-12 出版日期:2005-12-30 发布日期:2024-01-05
作者简介:LIU Wei-ling(1965-),male,native of Zhengzhou,Henan,a lecture of Zhengzhou Teacher's College,engages in PDE.

Estimates on Blow-up Rate of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions

Department of Mathematics, Zhengzhou Teacher's College, Zhengzhou 450044, China

Received:2003-05-12 Online:2005-12-30 Published:2024-01-05
About author:LIU Wei-ling(1965-),male,native of Zhengzhou,Henan,a lecture of Zhengzhou Teacher's College,engages in PDE.

摘要/Abstract

摘要： In this paper, the estimate on blow-up rate of the following nonlinear parabolic system is considered: .... . We will prove that there exist two positive constants such that: ... , where l₁= l₂₁α／α₂+l₂₂,r=α₁／α₂＞1,α₁≤α₂＜0.

关键词: nonlinear boundary condition, nonlinear parabolic system, blow-up rate

Abstract: In this paper, the estimate on blow-up rate of the following nonlinear parabolic system is considered: .... . We will prove that there exist two positive constants such that: ... , where l₁= l₂₁α／α₂+l₂₂,r=α₁／α₂＞1,α₁≤α₂＜0.

Key words: nonlinear boundary condition, nonlinear parabolic system, blow-up rate

中图分类号:

O175.8

刘卫岭, 李国富. 带有非线性边界条件的非线性抛物型方程组的爆破速率估计[J]. 数学季刊, 2005, 20(4): 401-405.

LIU Wei-ling, LI Guo-fu . Estimates on Blow-up Rate of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 401-405.