Blow-up of solutions of a mixed problem for systems of wave equations with boundary dissipation and with an interior nonlinear focusing source of variable growth order
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Publication:2019630
DOI10.1134/S0012266121030034zbMath1462.35091OpenAlexW3154723010MaRDI QIDQ2019630
G. Kh. Shafieva, Akbar B. Aliev
Publication date: 21 April 2021
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266121030034
Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items
Blow‐up of solutions of wave equation with a nonlinear boundary condition and interior focusing source of variable order of growth ⋮ Unnamed Item ⋮ Mixed problem for systems of hyperbolic equations with nonlinear boundary dissipation and a nonlinear source of variable growth order
Cites Work
- Blow up of solutions to the initial boundary value problem for quasilinear strongly damped wave equations
- Blow-up solutions for a nonlinear wave equation with boundary damping and interior source
- Lebesgue and Sobolev spaces with variable exponents
- Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order
- Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
- Blow-up of the solution of a nonlinear system of equations with positive energy
- Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up
- Blowup in solutions of a quasilinear wave equation with variable-exponent nonlinearities
- Long-time behavior of second order evolution equations with nonlinear damping
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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- Unnamed Item
- Unnamed Item
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