The existence and behavior of global solutions to a mixed problem with acoustic transmission conditions for nonlinear hyperbolic equations with nonlinear dissipation

DOI10.1134/S1064562418070062zbMath1409.35136OpenAlexW2910623033MaRDI QIDQ1732052

S. E. Isayeva, Akbar B. Aliev

Publication date: 15 March 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418070062

zbMATH Keywords

exponential decaydefocusing nonlinear sourcesfocusing nonlinear sources

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hydro- and aero-acoustics (76Q05) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• On the wave equation with semilinear porous acoustic boundary conditions
• The transmission problem of viscoelastic waves
• Global nonexistence theorems for a class of evolution equations with dissipation
• Wave Equation with Acoustic/Memory Boundary Conditions
• Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
• Acoustic boundary conditions
• Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains

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