Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

DOI10.3934/EECT.2013.2.255zbMath1272.35027OpenAlexW2328065922WikidataQ57426873 ScholiaQ57426873MaRDI QIDQ2392147

Lorena Bociu, Daniel Toundykov, Petronela Radu

Publication date: 1 August 2013

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2013.2.255

zbMATH Keywords

nonlinear dampingfinite-energy solutions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

A semilinear wave equation with a boundary condition of many-point type: global existence and stability of weak solutions ⋮ Errata: ``Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

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