Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case

We establish Hardy - Poincaré and Carleman estimates for non-smooth degenerate/singular parabolic operators in divergence form with Neumann boundary conditions. The degeneracy and the singularity occur both in the interior of the spatial domain. We apply these inequalities to deduce well-posedness and null controllability for the associated evolution problem.



Titolo: Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case
Autori: 
FRAGNELLI, Genni
mostra contributor esterni 
Data di pubblicazione: 2020
Rivista: 
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S  
Abstract: We establish Hardy - Poincaré and Carleman estimates for non-smooth degenerate/singular parabolic operators in divergence form with Neumann boundary conditions. The degeneracy and the singularity occur both in the interior of the spatial domain. We apply these inequalities to deduce well-posedness and null controllability for the associated evolution problem.
Handle: http://hdl.handle.net/11586/237984
Appare nelle tipologie:1.1 Articolo in rivista

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