𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stabilization of Local Energy in an Exterior Domain for the Wave Equation with a Localized Dissipation

✍ Scribed by Mitsuhiro Nakao


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
281 KB
Volume
148
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Energy decay for the wave equation with
✍ Jeong Ja Bae; Mitsuhiro Nakao 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 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 Ω with the boundary ∂Ω = Γ~0~ ∪ Γ~1~, Γ~0~ ∩ Γ~1~ = ∅︁. We impose the homogeneous Dirichlet condition on Γ~0~ and a dissipative Neumann condition on

Global existence of solutions for 2-D se
✍ Ryo Ikehata 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 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__×__L__^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result,

Exponential Energy Decay Estimate for th
✍ Ganesh C Gorain 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 175 KB

Here we are concerned about the stability of the solution of internally damped wave equation y Y s ⌬ y q ⌬ y X with small damping constant ) 0, in a bounded domain ⍀ in R n under mixed undamped boundary conditions. A uniform expo-Ž . y␤ t Ž . nential energy decay rate E t F Me E 0 where M G 1 and ␤

Distribution of eigenfrequencies for the
📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 74 KB

A new and simpler derivation of the equations of the "Already Unified Field Theory" of Maxwell, Einstein, and Rainich is presented. The approach is based on an extension to the manifold of general relativity of the intrinsic tensor techniques described in a previous paper.