Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source

Yulan Wang, Xiaojun Song and Chao Ye

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: This paper is devoted to understand the blow‐up properties of reaction‐diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p‐Laplacian equation with a localized reaction. We obtain the Fujita exponent qc of the equation.

Date: 2014
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https://doi.org/10.1155/2014/301747

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:301747

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