Uniform Blow-Up Rate for Diffusion Equation with a Weighted Localized Source

Miao Chao Chen

doi:10.4028/www.scientific.net/AMR.709.523

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 709Uniform Blow-Up Rate for Diffusion Equation with a...

Uniform Blow-Up Rate for Diffusion Equation with a Weighted Localized Source

Abstract:

In this paper,we investigate the Dirichlet problem for a localized nonlinear equation with a weighted localized source term.Under certain conditions, the solutions have a global blow-up and the rate of blow-up is uniform in all compact subsets of the domain.Moreover,we obtain the blow-up rate on maximal value point under some appropriate hypotheses.

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Periodical:

Advanced Materials Research (Volume 709)

Pages:

523-526

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.709.523

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Online since:

June 2013

Authors:

Miao Chao Chen

Keywords:

Localized Source, Non-Increasing, Symmetric, Uniform Blow-Up Rate

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References

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