Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term

JY Park, TG Ha - Journal of mathematical physics, 2008 - pubs.aip.org
In this paper, we consider the semilinear wave equation with boundary conditions. This work
is devoted to prove the existence of solutions and uniform decay rates of the wave equation …

[PDF][PDF] Nonlinear boundary dissipation for a coupled system of Klein-Gordon equations.

AT Louredo, M Milla Miranda - Electronic Journal of Differential …, 2010 - eudml.org
This article concerns the existence of solutions and the decay of the energy of the mixed
problem for the coupled system of Klein-Gordon equations u−∆ u+ αv2u= 0 inΩ×(0,∞), v−∆ …

[HTML][HTML] Asymptotic stability of the semilinear wave equation with boundary damping and source term

TG Ha - Comptes Rendus Mathematique, 2014 - Elsevier
Asymptotic stability of the semilinear wave equation with boundary damping and source term -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

On a nonlinear wave equation with boundary damping

AT Lourêdo, MA Ferreira de Araújo… - … Methods in the …, 2014 - Wiley Online Library
This paper is concerned with the existence and decay of solutions of the mixed problem for
the nonlinear wave equation with boundary conditions Here, Ω is an open bounded set of …

Uniform decay rates for a semilinear wave equation with boundary damping involving variable exponents

B Kou, A Rahmoune, J Zuo - Differential and Integral Equations, 2024 - projecteuclid.org
In this article, we study the following semilinear wave equation u_ tt-Δ u+ f (u)= 0 which has
the following nonlinear boundary condition ∂ u ∂ ν+ g (u_ t (x, t))=| u|^ p (x)-2 u. We also …

EXPONENTIAL BOUNDARY STABILIZATION FOR NONLINEAR WAVE EQUATIONS WITH LOCALIZED DAMPING AND NONLINEAR BOUNDARY CONDITION.

T Taniguchi - Communications on Pure & Applied Analysis, 2017 - search.ebscohost.com
Abstract Let D⊂ R< sup> d</sup> be a bounded domain in the d-dimensional Euclidian
space R< sup> d</sup> with smooth boundary⌈=∂ D: In this paper we consider …

[PDF][PDF] Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system

FD Araruna, JES Borges - Electronic Journal of Qualitative Theory of …, 2008 - real.mtak.hu
We consider dynamics of the one-dimensional Mindlin-Timoshenko model for beams with a
nonlinear external forces and a boundary damping mechanism. We investigate existence …

Boundary stabilization for a coupled system

AT Lourêdo, AM Oliveira, MR Clark - Nonlinear Analysis: Theory, Methods …, 2011 - Elsevier
We investigate in this work the global existence of weak solutions for a nonlinear coupled
system with mixed type boundary conditions. More precisely, Dirichlet and feedback …

[HTML][HTML] Nonlinear boundary stabilization for Timoshenko beam system

AJR Feitosa, ML Oliveira, MM Miranda - Journal of Mathematical Analysis …, 2015 - Elsevier
This paper is concerned with the existence and decay of solutions of the following
Timoshenko system:‖ u ″− μ (t) Δ u+ α 1∑ i= 1 n∂ v∂ xi= 0, in Ω×(0,∞), v ″− Δ v− α 2∑ …

Existência de solução e estabilidade na fronteira da equação da onda semilinear.

FLA PAZ - 2012 - dspace.sti.ufcg.edu.br
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