A wave equation associated with mixed nonhomogeneous conditions: global existence and asymptotic expansion of solutions

DOI10.1016/J.NA.2006.02.007zbMath1114.35117OpenAlexW2062967686MaRDI QIDQ875263

Nguyen Thanh Long, Vo Giang Giai

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.007

zbMATH Keywords

Galerkin methodweak solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

A semilinear wave equation with a boundary condition of many-point type: global existence and stability of weak solutions ⋮ A nonlinear wave equation associated with nonlinear boundary conditions: existence and asymptotic expansion of solutions ⋮ A wave equation associated with mixed nonhomogeneous conditions: The compactness and connectivity of weak solution set ⋮ Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition

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• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
• A semilinear wave equation associated with a linear differential equation with Cauchy data
• Mathematical model for a shock problem involving a linear viscoelastic bar

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