Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions

DOI10.1186/S13661-017-0773-1zbMath1360.35026OpenAlexW2602025762WikidataQ59518416 ScholiaQ59518416MaRDI QIDQ525015

Yong Han Kang, Jin-Mun Jeong, Jong Yeoul Park

Publication date: 27 April 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0773-1

zbMATH Keywords

blow-upquasilinear wave equationacoustic boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (12)

A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions ⋮ Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem ⋮ Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms ⋮ Global nonexistence for a viscoelastic wave equation with acoustic boundary conditions ⋮ Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions ⋮ Unnamed Item ⋮ Existence and nonexistence of global solutions for nonlinear transmission acousticproblem ⋮ Unnamed Item ⋮ Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions ⋮ Unnamed Item ⋮ NONLINEAR WAVE EQUATIONS WITH NONLINEAR TRANSMISSION ACOUSTIC CONDITION

Cites Work

• Unnamed Item
• Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions
• On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms
• On the wave equation with semilinear porous acoustic boundary conditions
• Global existence and blow-up phenomena for a nonlinear wave equation
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms
• Global non-existence of solutions of a class of wave equations with non-linear damping and source terms
• Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
• Acoustic boundary conditions
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Blowup of solutions for a class of non-linear evolution equations with non-linear damping and source terms
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

This page was built for publication: Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions