Local and global existence of solutions to a strongly damped wave equation of the \(p\)-Laplacian type
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Publication:1659605
DOI10.3934/cpaa.2018070zbMath1394.35263arXiv1705.06696OpenAlexW2794803818MaRDI QIDQ1659605
Nicholas J. Kass, Mohammad A. Rammaha
Publication date: 22 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.06696
Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Hyperbolic equations on manifolds (58J45) Second-order quasilinear hyperbolic equations (35L72)
Related Items (8)
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 ⋮ Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on \(\mathbb{R}^{\mathbb{N}}\) ⋮ On the asymptotic behavior of solutions to a structural acoustics model ⋮ On wave equations of the \(p\)-Laplacian type with supercritical nonlinearities ⋮ Energy decay of a viscoelastic wave equation with supercritical nonlinearities ⋮ Global solutions to a structure acoustic interaction model with nonlinear sources ⋮ Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms ⋮ Global well-posedness of solutions for the \(p\)-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity
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