Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions

DOI10.1016/j.camwa.2018.05.006zbMath1418.35273OpenAlexW2807587738WikidataQ129758593 ScholiaQ129758593MaRDI QIDQ2001706

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

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.05.006

zbMATH Keywords

acoustic boundary conditions at another partDirichlet boundary conditions at one part

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

Related Items (8)

Well-posedness and asymptotic stability of solutions to the semilinear wave equation with analytic nonlinearity and time varying delay ⋮ Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ 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 ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ Unnamed Item ⋮ Unnamed Item ⋮ DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ

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