p-biharmonic parabolic equations with logarithmic nonlinearity

Date

2019-01-22

Authors

Wang, Jiaojiao
Liu, Changchun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We consider an initial-boundary-value problem for a class of p-biharmonic parabolic equation with logarithmic nonlinearity in a bounded domain. We prove that if 2 < p < q < p(1 + 4/n) and u0 ∈ W+, the problem has a global weak solutions; if 2 < p < q < p(1 + 4/n) and u0 ∈ W-1, the solutions blow up at finite time. We also obtain the results of blow-up, extinction and non-extinction of the solutions when max{1, 2n/n+4} < p ≤ 2.

Description

Keywords

p-biharmonic parabolic equation, Blow-up, Decay, Extinction, Non-extinction

Citation

Wang, J., & Liu, C. (2019). p-biharmonic parabolic equations with logarithmic nonlinearity. <i>Electronic Journal of Differential Equations, 2019</i>(08), pp. 1-18.

Rights

Attribution 4.0 International

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