EuDML | Browse

Page 1

Displaying 1 – 13 of 13

Decacy of solutions of the wave equation with a local nonlinear dissipation.

Mitsuhiro Nakao (1996)

Mathematische Annalen

Decay estimates of solutions of a nonlinearly damped semilinear wave equation

Aissa Guesmia, Salim A. Messaoudi (2005)

Annales Polonici Mathematici

We consider an initial boundary value problem for the equation $u_{t t} - Δ u - \nabla ϕ \cdot \nabla u + f (u) + g (u_{t}) = 0$ . We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.

Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain.

Nunes Rabello, Tania (1994)

International Journal of Mathematics and Mathematical Sciences

Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type

Barbara Szomolay (2003)

Commentationes Mathematicae Universitatis Carolinae

In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction $\ddot{u} = - γ \dot{u} + {m (∥ \nabla u ∥}^{2} {) Δ u - δ | u |}^{α} u + f,$ which is known as degenerate if $m (\cdot) \geq 0$ , and non-degenerate if $m (\cdot) \geq m_{0} > 0$ . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of $α$ . Our aim is to extend the validity of previous results in [5] to $α \geq 0$ both to the degenerate and non-degenerate cases of $m$ . We extend our results to equations with...

Decay of solutions of the elastic wave equation with a localized dissipation

Mourad Bellassoued (2003)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Decay rates for solutions of a system of wave equations with memory.

de Lima Santos, Mauro (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.

De Lima Santos, Mauro (2002)

Abstract and Applied Analysis

Decay rates for solutions of damped systems and generalized Fourier transforms.

Reinhard Racke (1990)

Journal für die reine und angewandte Mathematik

Die klassisch-reguläre Lösbarkeit des Rand-Anfangswertproblems nichtlinearer Wellengleichungen mit einer Randbedingung vom gemischten Typ.

Salih Jawad (1988)

Mathematische Zeitschrift

Differential operators with non dense domain

G. Da Prato, E. Sinestrari (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Dirichlet and Neumann problems for string equation, Poncelet problem and Pell-Abel equation.

Burskii, Vladimir P., Zhedanov, Alexei S. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Dispersive and Strichartz estimates for the wave equation in domains with boundary

Oana Ivanovici (2010)

Journées Équations aux dérivées partielles

In this note we consider a strictly convex domain $Ω \subset ℝ^{d}$ of dimension $d \geq 2$ with smooth boundary $\partial Ω \neq \emptyset$ and we describe the dispersive and Strichartz estimates for the wave equation with the Dirichlet boundary condition. We obtain counterexamples to the optimal Strichartz estimates of the flat case; we also discuss the some results concerning the dispersive estimates.

Dispersive limits in the homogenization of the wave equation

Grégoire Allaire (2003)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Displaying 1 – 13 of 13

Currently displaying 1 – 13 of 13