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

Juntang Ding

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:324857

DOI: 10.1155/2014/324857

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