Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
By Genni Fragnelli, Dimitri Mugnai. 2012
53 citations recorded by the source corpus.
Abstract. We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem. The novelty of interior degeneracy does not let us adapt previous Carleman estimates to our situation. As an application, observability inequalities are established.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/07b90dee6a83753dc80284b37bc1a79a0320af96
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In Computational Theory and Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations (2015, result): “ails to be null controllable on the whole interval [0,1] (see, e.g., [16], [18]), and in this case the only property that can be expected is the regional null controllability (see also [15], [19] and [33]). Let us briefly show that the same phenomenon appears, for example, in the non divergence case,”