Interior degenerate/singular parabolic problems with non smooth coefficients

25 novembre 2015
25 novembre 2015
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari

Ore 14:30

Relatore:

  • Dimitri Mugnai (Università di Perugia)

Abstract:
We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Our results are completely new, since this situation is not covered by previous contributions for degeneracy and singularity on the boundary. In addition, we consider non smooth coefficients,
thus preventing the use of standard calculations in this framework.
As a consequence, observability inequalities and null controllability results are established.

Referente: Andrea Pugliese