Results 41 to 50 of about 1,145 (77)
Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
wiley +1 more source
Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian
Advanced Nonlinear StudiesIn the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua +4 more
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 377-400, 1998., 1998 We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation. The floor of the chamber is subject to the action of piezo‐ceramic patches (smart materials).
Mehmet Camurdan
wiley +1 more source
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
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A wave equation with discontinuous time delay
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 781-788, 1992., 1992 The influence of certain discontinuous delays on the behavior of the solutions of the wave equation is studied.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
A Simple Example of Localized Parametric Resonance for the Wave Equation [PDF]
, 2008 2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics ...
Colombini, Ferruccio, Rauch, Jeffrey
core
Dynamics for wave equations connected in parallel with nonlinear localized damping
Advances in Nonlinear AnalysisThis study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
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Advances in Nonlinear Analysis, 2017 We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract ...
Cavalcanti Marcelo M. +3 more
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Electromagnetic source localization with finite set of frequency measurements [PDF]
, 2014 A phase conjugation algorithm for localizing an extended radiating electromagnetic source from boundary measurements of the electric field is presented. Measurements are taken over a finite number of frequencies.
Anjum, Saman +3 more
core
Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
doaj