Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Abdelkarim Hajjaj"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 292,, Pp 1-25 (2016)
We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain. This article is the first to consider a problem with singular coupling terms; previous result c
Externí odkaz:
https://doaj.org/article/239aa04543044a5e97d8b8dd4d000691
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 149,, Pp 1-15 (2014)
In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset
Externí odkaz:
https://doaj.org/article/2947652212c340a6b0ae6f2b02fb702e
Publikováno v:
Journal of Inverse and Ill-posed Problems. 29:791-821
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 vani
Publikováno v:
Mathematical Control & Related Fields. 10:643-667
This article presents an inverse source problem for a cascade system of \begin{document}$ n $\end{document} coupled degenerate parabolic equations. In particular, we prove stability and uniqueness results for the inverse problem of determining the so
In this paper we study the boundary controllability for a system of two coupled degenerate/singular parabolic equations with a control acting on only one equation. We analyze both approximate and null boundary controllability properties. Besides, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72f35fc763373715eb54f6260f994dc0
Publikováno v:
Evolution Equations & Control Theory. 10:545
In this paper, we consider a class of cascade systems of \begin{document}$ n $\end{document} -coupled degenerate parabolic equations with singular lower order terms. We assume that both degeneracy and singularity occur in the interior of the space do
Publikováno v:
Evolution Equations and Control Theory. 2:441-459
In this paper, we study the null controllability of weakly degenerate parabolic systems with two different diffusion coefficients and one control force. To obtain this aim, we had to develop new global Carleman estimates for a degenerate parabolic eq
Publikováno v:
Portugaliae Mathematica. :345-367
In this paper, we study the null controllability of degenerate semilinear cas-cade parabolic systems with one control force. The key tool is the Carleman estimatesdeveloped recently for degenerate one dimension parabolic equations. We develop a Carle