Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

DOI10.1186/s13661-015-0288-6zbMath1312.35022OpenAlexW2160822847WikidataQ59436020 ScholiaQ59436020MaRDI QIDQ2263720

Yadong Shang, Huafei Di

Publication date: 19 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0288-6

zbMATH Keywords

Galerkin methodasymptotic behaviorglobal existencenonlinear wave equationdamping and source termsdouble dispersive-dissipativemonotonicity-compactnessmonotonicity-compactness method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (7)

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity ⋮ Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities ⋮ Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Continuous dependence of solutions to double dispersive equation with dissipative term

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