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Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/749

Title: Generation of analytic semigroups for a class of degenerate elliptic operators
Authors: Cannarsa, Piermarco
Rocchetti, Dario
Keywords: degenerate parabolic equations
null controllability
Carleman estimates
Issue Date: 14-Jan-2009
Abstract: This thesis is composed by two chapters. The first one is devoted to the generation of analytic semigroups in the L^2 topology by second order elliptic operators in divergence form, that may degenerate at the boundary of the space domain. Our results, that hold in two space dimension, guarantee that the solutions of the corresponding evolution problems support integration by parts. So, this paper provides the basis for deriving Carleman type estimates for degenerate parabolic operators. In the second chapter we give null controllability results for some degenerate parabolic equations in non divergence form with a drift term in one space dimension. In particular, the coefficient of the second order term may degenerate at the extreme points of the space domain. For this purpose, we obtain an observability inequality for the adjoint problem using suitable Carleman estimates...
Description: 20. ciclo
URI: http://hdl.handle.net/2108/749
Appears in Collections:Tesi di dottorato in scienze matematiche e fisiche

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