Awawdeh, Fadi; Obiedat, H. M. Source identification problem for degenerate differential equations. (English) Zbl 1249.35341 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 3, 61-72 (2011). Summary: This paper deals with an identification problem for degenerate parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Existence, uniqueness and continuous dependence results are proved for the problem. Applications to the source identification problems for the Poisson-heat equation and Maxwell system are given to illustrate the theory. Cited in 2 Documents MSC: 35R30 Inverse problems for PDEs 35K65 Degenerate parabolic equations 47A55 Perturbation theory of linear operators 35K05 Heat equation Keywords:inverse problems; perturbation theory for linear operators; degenerate differential equations PDF BibTeX XML Cite \textit{F. Awawdeh} and \textit{H. M. Obiedat}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 3, 61--72 (2011; Zbl 1249.35341) OpenURL