Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

Zhong Bo Fang and Yan Chai

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that exists globally or blows up at some finite time . Moreover, an upper bound for is derived. Under somewhat more restrictive conditions, a lower bound for is also obtained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:289245

DOI: 10.1155/2014/289245

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