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A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
oleh: Yong Han Kang, Jong Yeoul Park, Daewook Kim
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2018-09-01 |
Deskripsi
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 of solutions for a quasilinear viscoelastic wave equation with positive initial energy.