Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions

DOI10.1090/S0025-5718-09-02231-5zbMath1201.35146OpenAlexW2060915393MaRDI QIDQ3584773

Jonas Haehnle, Andreas Prohl

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02231-5

zbMATH Keywords

\(p(x)\)-Laplacianfixed-point schemeimplicit finite element discretization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (8)

Young measure solutions for a fourth-order wave equation with variable growth ⋮ Existence and asymptotic behaviour of solutions for a viscousp(x)-Laplacian equation ⋮ Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions ⋮ Pullback exponential attractors for second-order lattice system with nonstandard growth condition ⋮ Blow-up for the Timoshenko-type equation with variable exponents ⋮ Young measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-up ⋮ Asymptotic stability of solutions to quasilinear hyperbolic equations with variable sources ⋮ Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems

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