Global Existence and Blow-up of Solutions to a Doubly Degenerate Parabolic System with Nonlinear Boundary Conditions

MI Yongsheng; MU Chunlai; WU Yunlong

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Global Existence and Blow-up of Solutions to a Doubly Degenerate Parabolic System with Nonlinear Boundary Conditions

机译：具有非线性边界条件的双退化抛物方程组解的整体存在性和爆破。

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摘要

This paper deals with the global existence and blow-up of solutions to a doubly degenerate parabolic system with nonlinear boundary conditions. By constructing various kinds of suband super-solutions and using the basic properties of M-matrix,the authors give the necessary and sufficient conditions for global existence of nonnegative solutions. The critical curve of Fujita type is conjectured with the aid of some new results, which extend the recent results to more general equations.

机译：本文研究具有非线性边界条件的双退化简抛物系统的整体存在性和爆破解。通过构造各种子解和超解并利用M-矩阵的基本性质，为非负解的整体存在提供了充要条件。藤田型的临界曲线是借助于一些新的结果而推测出来的，这些新的结果将最新的结果扩展到了更一般的方程式中。

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来源
《Chinese journal of contemporary mathematics》 |2014年第1期|共12页
作者
MI Yongsheng; MU Chunlai; WU Yunlong;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Global existence curve; Degenerate parabolic systems; M-matrix; Nonlinear boundary flux; Blow-up;

机译：整体存在曲线;退化的抛物系统;M矩阵;非线性边界通量;爆破;

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专利

1. Global Existence and Blow-up of Solutions to a Doubly Degenerate Parabolic System with Nonlinear Boundary Conditions [J] . MI Yongsheng, MU Chunlai, WU Yunlong Chinese journal of contemporary mathematics . 2014,第1期

机译：具有非线性边界条件的双退化抛物方程组解的整体存在性和爆破。
2. EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS OF A DEGENERATE PARABOLIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS [J] . Sun Fuqin, Wang Mingxin Journal of partial differential equations . 2004,第1期

机译：具有非线性边界条件的退化抛物型方程组整体解的存在与不存在
3. EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS OF A DEGENERATE PARABOLIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS [J] . Sun Fuqin, Wang Mingxin 偏微分方程：英文版 . 2004,第001期

机译：具有非线性边界条件的退化抛物型方程组整体解的存在与不存在
4. Global Existence and Blow-up for the Quasi-linear Parabolic Equation with Nonlinear Boundary Condition [C] . Botao Chen, Yongsheng Mi IEA 2011;International conference on information engineering and applications . 2011

机译：具有非线性边界条件的拟线性抛物方程的整体存在与爆破
5. Single-point blow-up of solutions for degenerate nonlinear parabolic problems. [D] . Tian, Haiyan. 2002

机译：退化非线性抛物线问题解的单点爆破。
6. Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions [O] . Juntang Ding -1

机译：非线性边界条件下p-Laplacian抛物型问题的整体存在和爆破结果
7. LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS [O] . Jian Wang, Meng-Long Su, Zhong-Bo Fang 2013

机译：具有非线性内存和非线性边界条件的多细胞过滤系统的本地和全球存在和爆破

Global Existence and Blow-up of Solutions to a Doubly Degenerate Parabolic System with Nonlinear Boundary Conditions

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