| 一类带有Newman边界条件的非线性抛物方程的解的爆破和整体存在 |
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| 引用本文： | 陈红霞,崔泽建,冯世强.一类带有Newman边界条件的非线性抛物方程的解的爆破和整体存在[J].周口师范学院学报,2012,29(5):18-22. |
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| 作者姓名： | 陈红霞 崔泽建 冯世强 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637009 |
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| 基金项目： | 四川省教育厅自然科学基金资助重点项目 |
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| 摘 要： | 通过构造辅助函数和利用最大值原理,得到了非线性抛物方程(g(u))t=▽.(a(u)b(x)c(t)▽u)+h(t)f(u)的解的爆破和整体存在的充分条件,给出了爆破时间的上界和爆破速率的上估计以及整体存在解的上估计.
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| 关 键 词： | 非线性抛物方程 爆破 整体解 最大值原理 |
Blow-up and global solutions for a class of nonlinear parabolic equations with Newman boundary conditions |
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| CHEN Hongxia,CUI Zejian,FENG Shiqiang.Blow-up and global solutions for a class of nonlinear parabolic equations with Newman boundary conditions[J].Journal of Zhoukou Normal University,2012,29(5):18-22. |
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| Authors: | CHEN Hongxia CUI Zejian FENG Shiqiang |
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| Institution: | (School of Mathematics and Information,China West Normal University,Nanchong 637009,China) |
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| Abstract: | By constructing auxiliary functions and using the maximum principle,the sufficient conditions for the blow-up solutions and global solutions are obtained for nonlinear parabolic equations(g(u))t=▽·(a(u)b(x)c(t)▽u)+h(t)f(u).The upper bounds of the "blow-up time" and the "upper estimates" of the global solutions are given. |
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| Keywords: | nonlinear parabolic equations blow-up global solutions the maximum principle |
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