Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms
Abstract The aim of this paper is to study bounds for lifespan of solutions to the following equation: utt−Δu+∫0tg(t−τ)Δu(τ)dτ+|ut|m(x,t)−2ut=|u|p(x,t)−2u $$ u_{tt}-\Delta u+ \int _{0}^{t}g(t-\tau )\Delta u(\tau )\,d\tau + \vert u_{t} \vert ^{m(x,t)-2}u _{t}= \vert u \vert ^{p(x,t)-2}u $$ under homo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2251-z |