Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:289

Article

Slodicka, M.

关键词: Parabolic IBVP;    Inverse source problem;    Reconstruction;    Convergence;    Time discretization;   

DOI  :  10.1016/j.cam.2014.10.004

来源: Elsevier

【 摘 要 】

A semilinear parabolic problem of second order with an unknown solely time-dependent source term is studied. The missing source is recovered from an additional integral measurement over the boundary. The global in time existence, uniqueness as well as the regularity of a solution are addressed. A new numerical scheme based on Rothe's method is designed and convergence of iterates towards the exact solution is shown. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free