Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions

Authors

  • Fuqin Sun & Mingxin Wang

Keywords:

Degenerate parabolic system;global solution;blow-up in finite time

Abstract

In this paper, we study the non-negative solutions to a degenerate parabolic system with nonlinear boundary conditions in the multi-dimensional case. By the upper and lower solutions method, we give the conditions on the existence and non-existence of global solutions.

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Published

2004-02-02

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Issue

Vol. 17 No. 1 (2004)

Section

Articles

How to Cite

Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions. (2004). Journal of Partial Differential Equations, 17(1), 71-79. https://www.global-sci.com/index.php/jpde/article/view/4019