A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions

Abstract In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function Φ, p>max{ρ+2,m,q,2} $p > \max \{ \rho +2, m, q,2\}$, and the initial data, we prove a global nonexistence...

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Bibliographic Details
Main Authors: Yong Han Kang, Jong Yeoul Park, Daewook Kim
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1057-0