Search Results - "Cavalcanti, M.M."
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Attractors for wave equations with degenerate memory
Published in Journal of Differential Equations (05-01-2016)“…This paper is concerned with the long-time dynamics of a semilinear wave equation with degenerate viscoelasticityutt−Δu+∫0∞g(s)div[a(x)∇u(t−s)]ds+f(u)=h(x),…”
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Stabilization of hyperbolic problems with localized damping in unbounded domains
Published in Journal of mathematical analysis and applications (01-09-2024)“…We are concerned with stability issues for hyperbolic problems in unbounded domains. We consider the Klein-Gordon equation posed in the whole N-dimensional…”
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Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth
Published in Journal of Differential Equations (05-05-2022)“…In this paper we study the stability of the energy associated to an initial boundary value problem involving a semilinear wave equation. The domain is an…”
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Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type
Published in Journal of Differential Equations (25-07-2021)“…In this paper, motivated by recent papers on the stabilization of evolution problems with nonlocal degenerate damping terms, we address an extensible beam…”
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Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
Published in Journal of Differential Equations (15-12-2015)“…In this paper, we consider coupled wave–wave, Petrovsky–Petrovsky and wave–Petrovsky systems in N-dimensional open bounded domain with complementary frictional…”
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General decay rate estimates for viscoelastic dissipative systems
Published in Nonlinear analysis (2008)“…The linear viscoelastic equation is considered. We prove uniform decay rates of the energy by assuming a nonlinear feedback acting on the boundary, without…”
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Prevalence of Staphylococcus aureus introduced into intensive care units of a University Hospital
Published in The Brazilian journal of infectious diseases (01-02-2005)“…Staphylococcus aureus is one of the principal human pathogens that colonize healthy individuals in the community in general, and it is responsible for severe…”
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Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
Published in Journal of Differential Equations (01-05-2013)“…On a compact n-dimensional Riemannian manifold (M,g), we establish uniform decay rate estimates for the linear Schrödinger and plate equations subject to an…”
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Null controllability of some nonlinear degenerate 1D parabolic equations
Published in Journal of the Franklin Institute (01-09-2017)“…The main goal of the present paper is twofold: (i) to establish the well-posedness of a class of nonlinear degenerate parabolic equations and (ii) to…”
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Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: Exponential and polynomial stabilization
Published in Journal of Differential Equations (01-06-2010)“…Results of exponential/polynomial decay rates of the energy in L 2 -level, related to the cubic nonlinear Schrödinger equation with localized damping posed on…”
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Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary
Published in Applied mathematics and computation (08-03-2004)“…In this article we study the degenerate system ( ρ 1, ρ 2⩾0) subject to memory conditions on the boundary given by ρ 1(x)u tt− Δu+α(u−v)=0 in Ω×]0,+∞[, ρ 2(x)v…”
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Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
Published in Calculus of variations and partial differential equations (01-09-2002)“…We consider the nonlinear model of the wave equation $$y_{tt}-\Delta y+f_0\left(\nabla y\right)=0$$ subject to the following nonlinear boundary conditions…”
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Uniform stabilization of the wave equation on compact manifolds and locally distributed damping – a sharp result
Published in Journal of mathematical analysis and applications (15-03-2009)“…Let ( M , g ) be an n-dimensional ( n ⩾ 2 ) compact Riemannian manifold with or without boundary where g denotes a Riemannian metric of class C ∞ . This paper…”
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On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions
Published in Journal of mathematical analysis and applications (01-05-2003)“…We study the global existence of solutions of the nonlinear degenerate wave equation (ρ⩾0)…”
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Existence and Exponential Decay for a Kirchhoff–Carrier Model with Viscosity
Published in Journal of mathematical analysis and applications (01-10-1998)“…In this work we study the existence of global solutions and exponential decay for the following nonlinear problem:[formula]whereMis aC1function,M(λ)≥λ0>0; ∀λ≥0…”
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Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term
Published in Nonlinear analysis (01-10-1999)Get full text
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Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations
Published in Nonlinear differential equations and applications (01-01-2000)Get full text
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Asymptotic stability and energy decay rates for solutions of the wave equation with memory
Published in Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) (2000)“…We study the asymptotic stability and give the energy decay rates for solutions of the wave equation with boundary dissipation of the memory type…”
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