Energy decay for the wave equation with boundary and localized dissipations in exterior domains | Zendy

Bae Jeong Ja | Zendy; Nakao Mitsuhiro | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Energy decay for the wave equation with boundary and localized dissipations in exterior domains

Author(s) -

Bae Jeong Ja,

Nakao Mitsuhiro

Publication year - 2005

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310271

Subject(s) - dissipation , dissipative system , neumann boundary condition , mathematics , dirichlet boundary condition , mathematical analysis , boundary (topology) , boundary value problem , infinity , wave equation , domain (mathematical analysis) , homogeneous , energy (signal processing) , mixed boundary condition , mathematical physics , physics , quantum mechanics , combinatorics , statistics

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 Γ 1 . Further, we assume that a localized dissipation a ( x ) u t is effective near infinity and in a neighborhood of a certain part of the boundary Γ 0 . Under these assumptions we derive an energy decay like E ( t ) ≤ C (1 + t ) –1 and some related estimates. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research