Blow‐Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

Juntang Ding

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the blow‐up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow‐up solution, an upper bound for the “blow‐up time,” an upper estimate of the “blow‐up rate,” the sufficient conditions for the existence of global solution, and an upper estimate of the global solution are specified.

Date: 2014
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https://doi.org/10.1155/2014/324857

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:324857

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