𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of a Global Attractor for Semilinear Dissipative Wave Equations on RN

✍ Scribed by Nikos I. Karachalios; Nikos M. Stavrakakis


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
188 KB
Volume
157
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Global existence of solutions for 2-D se
✍ Ryo Ikehata πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 148 KB

## Abstract We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in __H__Γ—__L__^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result,

Some remarks on global existence to the
✍ Nour-Eddine Amroun; AbbΓ¨s Benaissa πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB πŸ‘ 1 views

## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(ℝ^__n__^ ). (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Existence and non-existence of global so
✍ Chen Guowang; Yang Zhijian πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 135 KB πŸ‘ 2 views

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con

The influence of oscillations on global
✍ M. R. Ebert; Michael Reissig πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 273 KB πŸ‘ 1 views

The goal of this paper is to study the global existence of small data solutions to the Cauchy problem for the nonlinear wave equation In particular we are interested in statements for the 1D case. We will explain how the interplay between the increasing and oscillating behavior of the coefficient w

Global Existence for a Quasilinear Wave
✍ Markus Keel; Hart F. Smith; Christopher D. Sogge πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 399 KB

We prove global existence of small-amplitude solutions of quasilinear Dirichletwave equations outside of star-shaped obstacles in (3+1)-dimensions. We use a variation of the conformal method of Christodoulou. Since the image of the spacetime obstacle is not static in the Einstein diamond, our result

On Global Existence, Asymptotic Stabilit
✍ Kosuke Ono πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 335 KB πŸ‘ 2 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.