Strong solutions for semilinear wave equations with damping and source terms

DOI10.1080/00036811.2011.633902zbMath1264.35146OpenAlexW2119136845WikidataQ58298308 ScholiaQ58298308MaRDI QIDQ4916345

Petronela Radu

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.633902

zbMATH Keywords

local existencenonlinear dampingmonotonicity argumentsinterior sourcecompactness arguments

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

On the regularizing effect of nonlinear damping in hyperbolic equations

Cites Work

• Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping
• Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
• Saddle points and instability of nonlinear hyperbolic equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
• Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping
• On global solution of nonlinear hyperbolic equations
• Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
• On nonlinear wave equations with degenerate damping and source terms
• On the regularizing effect of nonlinear damping in hyperbolic equations

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