𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solutions of the wave equation with localized energy

✍ Scribed by James V. Ralston


Publisher
John Wiley and Sons
Year
1969
Tongue
English
Weight
626 KB
Volume
22
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Energy decay for the wave equation with
✍ Jeong Ja Bae; Mitsuhiro Nakao πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain Ξ© with the boundary βˆ‚Ξ© = Ξ“~0~ βˆͺ Ξ“~1~, Ξ“~0~ ∩ Ξ“~1~ = βˆ…οΈ. We impose the homogeneous Dirichlet condition on Ξ“~0~ and a dissipative Neumann condition on

Local energy decay for linear wave equat
✍ Ryo Ikehata πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 101 KB

## Abstract A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (__Comm. Pure Appl. Math__. 1961; **14**:561–

Traveling wave solutions of the SchrΓΆdin
✍ Fanghua Lin; Juncheng Wei πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 286 KB πŸ‘ 1 views

## Abstract We first construct traveling wave solutions for the SchrΓΆdinger map in ℝ^2^ of the form __m__(__x__~1~, __x__~2~ βˆ’ Ο΅ __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree Β±1. We