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

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

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 71–79

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5377

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 71–79

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Degenerate parabolic system