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BCAMSevero Ochoa Award

basque center for applied mathematics

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Pizzichillo, Fabio

Postdoc Fellow

Linear and Non-Linear Waves

Mazarredo, 14. 48009 Bilbao Basque Country - Spain


I got my Bachelor degree and my Master degree in Mathematics at "University of Bari". From October 2014 to December 2017 I have been a PhD student under the supervision of Prof. Luis Vega. My primary research interests lie in the area of the Dirac equation with linear and nonlinear perturbations. Regarding the linear case, I considered the delta-shell interaction on bounded and smooth domains and its approximation by the coupling of the free Dirac operator with shrinking short-range potentials, getting surprising results related to Klein's Paradox. Moreover, I investigated the Dirac operator perturbed by a particular class of Coulomb-type spherically symmetric potentials, describing the self-adjoint realisations of this operator in terms of the behaviour of the functions of the domain in the origin, providing Hardy-type estimates on them. I am currently working as a Postdoctoral Fellow in the area of Linear and Non-Linear Waves. Since January 2015 my research is supported by the Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa accreditation SEV-2013-0323, grant SVP-2014-068458.

Eusko Jaurlaritza - Gobierno Vasco ikerbasque - Basque Foundation for Science Bizkaia xede. Bizkaiko Foru Aldundia innobasque - Agencia vasca de la innovación Universidad del PaÌs Vasco (UPV/EHU)