Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems

[摘要] In this paper we study a semilinear heat equation in a long cylindrical region if the far end and the lateral surface are held at zero temperature and a nonzero temperature is applied at the near end. Our aim is to derive some explicit spatial decay bounds for the solution and its derivatives and to show that the solution depends continuously on the data at the near end of the cylinder. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] parabolic equations;decay bounds;continuous dependence