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.
Fragnelli, G., Mugnai, D. (2020). Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 13(5), 1495-1511 [10.3934/dcdss.2020084].
Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case
Fragnelli Genni;
2020-01-01
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.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1279783