Nemytskij's operators and global existence of small solutions of semilinear evolution equations on nonsmooth Domains

DOI10.1080/03605309708821311zbMath0885.35076OpenAlexW1664623743MaRDI QIDQ4365390

Serge Nicaise, Felix Ali Mehmeti

Publication date: 14 December 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821311

zbMATH Keywords

damped wave equationHilbert space settingdomains with a conical singularitysemilinear hyperbolic evolution equations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping ⋮ General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure ⋮ On the Cauchy problem for a K. P. -Boussinesq-type system ⋮ Quasilinear elliptic systems of second order in domains with corners and edges: Nemytskij operator, local existence and asymptotic behaviour

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• Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
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