Diffusion phenomenon for linear dissipative wave equations in an exterior domain

[摘要] Under the general condition of the initial data, we will derive the crucial estimates which imply the diffusion phenomenon for the dissipative linear wave equations in an exterior domain, In order to derive the diffusion phenomenon for dissipative wave equations, the time integral method which was developed by Ikehata and Matsuyama (Sci. Math. Japon. 55 (2002) 33) plays an effective role. (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-12-10

[关键词] damped wave equation;exterior domain;mixed problem;diffusion phenomenon