Nonlinear wave equation with damping: Periodic forcing and non‐resonant solutions to the Kuznetsov equation

Nonlinear wave equation with damping: Periodic forcing and non‐resonant solutions to the... Existence of non‐resonant solutions of time‐periodic type is established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three‐dimensional whole‐space, half‐space and bounded domain, and with both non‐homogeneous Dirichlet and Neumann boundary values. A method based on Lp estimates for the corresponding linearization, namely the wave equation with Kelvin‐Voigt damping, is employed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik Wiley

Nonlinear wave equation with damping: Periodic forcing and non‐resonant solutions to the Kuznetsov equation

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Publisher
Wiley
Copyright
Copyright © 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
ISSN
0044-2267
eISSN
1521-4001
D.O.I.
10.1002/zamm.201600280
Publisher site
See Article on Publisher Site

Abstract

Existence of non‐resonant solutions of time‐periodic type is established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three‐dimensional whole‐space, half‐space and bounded domain, and with both non‐homogeneous Dirichlet and Neumann boundary values. A method based on Lp estimates for the corresponding linearization, namely the wave equation with Kelvin‐Voigt damping, is employed.

Journal

Zamm-Zeitschrift Fuer Angewandte Mathematik Und MechanikWiley

Published: Jan 1, 2018

Keywords: ; ; ; ; ;

References

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