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Evolution Equations for Deterministic and Stochastic Systems

Carleman type estimates for parabolic integro-differential equations

speaker: Daniela Sforza (Università di Roma La Sapienza, Dipartimento di Metodi e Modelli Matematici, via A. Scarpa 16 00161 Roma)

abstract: This talk is about a class of weakly singular integro-differential operators. More precisely, we assume that the Fourier sine transform of the convolution kernel has a suitable behaviour at infinity. Some concrete examples of such kernels can be given, presenting an integrable singularity at the origin. We establish a local Carleman estimate, which enables us to show the unique continuation property for this class of operators. These results are contained in a joint paper with Piermarco Cannarsa.

timetable:
Mon 23 May, 16:20 - 17:00, Aula Dini
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