×

Source identification problem for degenerate differential equations. (English) Zbl 1249.35341

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.

MSC:

35R30 Inverse problems for PDEs
35K65 Degenerate parabolic equations
47A55 Perturbation theory of linear operators
35K05 Heat equation
PDF BibTeX XML Cite