Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Autor: Jawad Salhi
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 31, Pp 1-28 (2018)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2018.1.31
Popis: We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of the problem and then we prove the null controllability property via an observability inequality for the adjoint system. The key ingredient is the derivation of a suitable Carleman-type estimate.
Databáze: Directory of Open Access Journals