Wave equations with mass and dissipation
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Publication:2354087
zbMath1329.35180arXiv1408.0737MaRDI QIDQ2354087
Jens Wirth, Wanderley Nunes do Nascimento
Publication date: 10 July 2015
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.0737
scattering theoryenergy decay\(L^p\)-\(L^q\) estimatesWKB representationdamped Klein-Gordon equationhyperbolic zonepseudo-differential zone
Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)
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On \(t\)-dependent hyperbolic systems. II. ⋮ A scale of critical exponents for semilinear waves with time-dependent damping and mass terms ⋮ Decay estimates for a Klein-Gordon model with time-periodic coefficients ⋮ Zero resonances for localised potentials ⋮ Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping ⋮ On a wave equation with singular dissipation ⋮ Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass ⋮ Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with 𝐿^{𝑟}-data
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