Global Existence and Blow-Up of Solutions for a Porous Medium Equation

Yun Zhu Gao; Xi Meng; Hong Gai

doi:10.4028/www.scientific.net/AMR.461.532

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 461Global Existence and Blow-Up of Solutions for a...

Global Existence and Blow-Up of Solutions for a Porous Medium Equation

Abstract:

In this paper, a porous medium equation with local source and nonlocal boundary condition is studied. By using the fixed point theorem and comparison principle. The global existence and blow-up of solutions are obtained .

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Periodical:

Advanced Materials Research (Volume 461)

Pages:

532-536

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.461.532

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Online since:

February 2012

Authors:

Yun Zhu Gao, Xi Meng, Hong Gai

Keywords:

Blow-Up, Existence, Nonlocal Boundary Condition, Porous Medium Equation

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