Estimates of initial conditions ot'parabolic equations and inequalities in infinite domains via lateral Cauchy data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:237

Article

Klibanov, Michael V. ; Tikhonravov, Alexander V.

关键词: inverse problem;    initial condition;    Carleman estimate;    parabolic operator;   

DOI  :  10.1016/j.jde.2007.03.006

来源: Elsevier

【 摘 要 】

A parabolic equation/inequality in an infinite domain is considered. The lateral Cauchy data are given at an arbitrary C-2-smooth lateral surface. The inverse problem of the interest of this paper consists in an estimate of the unknown initial condition via these Cauchy data. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free