Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions

Autor:	Abdelkarim Hajjaj, Lahcen Maniar, Jawad Salhi, Mohammed Alaoui
Rok vydání:	2020
Předmět:	010101 applied mathematics Parabolic system Applied Mathematics Mathematical analysis Degenerate energy levels Neumann boundary condition 010103 numerical & computational mathematics 0101 mathematics Inverse problem 01 natural sciences Mathematics
Zdroj:	Journal of Inverse and Ill-posed Problems. 29:791-821
ISSN:	1569-3945 0928-0219
Popis:	In this paper, we study an inverse source problem for a degenerate and singular parabolic system where the boundary conditions are of Neumann type. We consider a problem with degenerate diffusion coefficients and singular lower-order terms, both vanishing at an interior point of the space domain. In particular, we address the question of well-posedness of the problem, and then we prove a stability estimate of Lipschitz type in determining the source term by data of only one component. Our method is based on Carleman estimates, cut-off procedures and a reflection technique.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ea5f62a116090217a2704da809b338fd https://doi.org/10.1515/jiip-2018-0034 Zobrazit plný text záznamu