Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
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Publication:369259
DOI10.1186/1687-2770-2012-50zbMath1275.35151OpenAlexW2097479382WikidataQ59270613 ScholiaQ59270613MaRDI QIDQ369259
Mohammad Shahrouzi, Faramarz Tahamtani
Publication date: 24 September 2013
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2012-50
Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)
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Cites Work
- Energy decay rates via convexity for some second-order evolution equation with memory and nonlinear time-dependent dissipation
- Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations
- A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy
- Decay rates for viscoelastic plates with memory
- Existence and nonexistence of global solutions of some system of semilinear wave equations
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
- Global existence and uniform decay for a nonlinear viscoelastic equation with damping
- Global existence and nonexistence in a system of Petrovsky
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