Dissipative higher order hyperbolic equations
M D'Abbicco, E Jannelli - Communications in Partial Differential …, 2017 - Taylor & Francis
In this paper, we describe a constructive method to find a dissipative term for any generic
higher order, homogeneous, possibly weakly, hyperbolic operator, with x∈ ℝ n, n≥ 1. We …
higher order, homogeneous, possibly weakly, hyperbolic operator, with x∈ ℝ n, n≥ 1. We …
Optimal decay rates for the system of elastic waves in R n with structural damping
We consider the Cauchy problem in R n for the system of elastic waves with structural
damping. We derive (almost) optimal decay rates in time for the L 2-norm and the total …
damping. We derive (almost) optimal decay rates in time for the L 2-norm and the total …
Energy decay rates of elastic waves in unbounded domain with potential type of damping
RC Charão, R Ikehata - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper we first show that the total energy of solutions for a semilinear system of elastic
waves in Rn with a potential type of damping decays in an algebraic rate to zero. We study …
waves in Rn with a potential type of damping decays in an algebraic rate to zero. We study …
Asymptotics of higher order hyperbolic equations with one or two dissipative lower order terms
M D'Abbicco - arXiv preprint arXiv:2109.14067, 2021 - arxiv.org
In this paper, we consider the Cauchy problem for a hyperbolic equation $ Q
(\partial_t,\partial_x) u= 0$ of any order $ m\geq3 $, where $ t\geq0 $ and $ x\in\mathbb {R} …
(\partial_t,\partial_x) u= 0$ of any order $ m\geq3 $, where $ t\geq0 $ and $ x\in\mathbb {R} …
Uniform decay rates of coupled anisotropic elastodynamic/Maxwell equations with nonlinear damping
CR da Luz, GAP Menzala - Portugaliae Mathematica, 2011 - ems.press
Uniform decay rates of coupled anisotropic elastodynamic/Maxwell equations with nonlinear
damping Page 1 Portugal. Math. (NS) Portugaliae Mathematica Vol. 68, Fasc. 2, 2011, 205–238 …
damping Page 1 Portugal. Math. (NS) Portugaliae Mathematica Vol. 68, Fasc. 2, 2011, 205–238 …
[PDF][PDF] Método da energia no espaço de Fourier para equações de evolução em R n com dissipação fracionária
MF Gauer - 2013 - core.ac.uk
Neste trabalho estudamos o problema de Cauchy em Rn para três equações com
dissipação fracionária, a saber: equação da onda, sistema de ondas elásticas e equação de …
dissipação fracionária, a saber: equação da onda, sistema de ondas elásticas e equação de …
Asymptotic behavior for the Benjamin-Bona-Mahony equation in an exterior domain
In this work we study the existence, uniqueness and asymptotic behavior in time of solutions
for the dissipative Benjamin-Bona-Mahony equation in an exterior domain Ω⊂\mathbbR^n …
for the dissipative Benjamin-Bona-Mahony equation in an exterior domain Ω⊂\mathbbR^n …
ASYMPTOTIC BEHAVIOR FOR THE BENJAMIN-BONA-MAHONY EQUATION IN AN EXTERIOR DOMAIN
In this work we study the existence, uniqueness and asymptotic behavior in time of solutions
for the dissipative Benjamin-Bona-Mahony equation in an exterior domain Ω⊂ Rn (n= 2, 3) …
for the dissipative Benjamin-Bona-Mahony equation in an exterior domain Ω⊂ Rn (n= 2, 3) …