非局部边界条件的退化抛物方程组解的爆破和整体存在性

Abstract

Abstract:

This paper deals with a degenerate parabolic system with nonlinear nonlocal sources and nonlocal boundary conditions. With the help of the super- and sub-solution methods, the blow-up and global existence conditions of positive solutions are obtained. These results not only extend those in [8], but also show that the global existence and blow-up results depend on the weight functions g₁(x, y), g₂(x, y) and the size of a, b, l₁, l₂.

Key words: Degenerate parabolic system, Nonlocal source and nonlocal boundary, Global existence, Blow-up

CLC Number:

35K60

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LING Zheng-Qiu, ZHOU Ze-Wen. Blow-up and Global Existence of Solutions to a Degenerate Parabolic System with Nonlocal Boundaries[J].Acta mathematica scientia,Series A, 2014, 34(2): 338-346.

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References

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Blow-up and Global Existence of Solutions to a Degenerate Parabolic System with Nonlocal Boundaries

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