On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration

Abstract This paper deals with a class of Petrovsky system with nonlinear damping w t t + Δ B 2 w − k 2 Δ B w t + a w t | w t | m − 2 = b w | w | p − 2 $$\begin{aligned} w_{tt}+\Delta _{\mathbb{B}}^{2}w-k_{2} \Delta _{\mathbb{B}}w_{t}+aw_{t} \vert w_{t} \vert ^{m-2}=bw \vert w \vert ^{p-2} \end{alig...

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Bibliographic Details
Main Authors: Jiali Yu, Yadong Shang, Huafei Di
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01438-w