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1. Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions.

Author

Xuyan Gao, Juntang Ding, and Bao-Zhu Guo

Subjects
*QUASILINEARIZATION, *PARABOLIC differential equations, *NEUMANN problem, *BOUNDARY value problems, *HOPF algebras
Abstract

Using the upper and lower solution techniques and Hopf's maximum principle, the sufficient conditions for the existence of blow-up positive solution and global positive solution are obtained for a class of quasilinear parabolic equations subject to Neumann boundary conditions. An upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified. [ABSTRACT FROM AUTHOR]

Published
2009
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