On Existence of global solutions for the carrier model with nonlinear damping and source terms

DOI10.1080/00036810108840910zbMath1221.65258OpenAlexW1594284013WikidataQ58244029 ScholiaQ58244029MaRDI QIDQ4411582

Il Hyo Jung, Jong Yeoul Park, Jeong Ja Bae

Publication date: 9 July 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840910

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Global solvability of boundary-value problems for a class of quasilinear hyperbolic equations
• On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Global solution of a nonlinear string equation
• Some nonlinear degenerate wave equations
• On classical solutions of a quasilinear hyperbolic equation
• Non-Linear vibration of an elastic string