English version below! <<<
Carə tuttə,
Vi annuncio il prossimo seminario MAP:
-->Speaker: Mario Rastrelli (Università di Pisa)
--> Data: Mercoledì 19 Aprile, ore 15:00
--> Dove: Aula Seminari del Dipartimento di Matematica (Pisa) e Online su Gmeet:
Mario Rastrelli (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/mario-rastrelli
-->Titolo: On the Laplacian perturbed with inverse square potential: the domain of its closure and of its square
-->Abstract: Perturbation of operators is a very rich branch of the modern analysis. The perturbation of Laplacian with inverse square potential arises, in particular, in the studies of non linear Schrödinger equation. So, in this talk, we want to give an explicit and easy characterization of the domain of the operator A=-Δ+b/|x|^2. Such characterization is also useful to determine the domain of A square in a similar way. The study of these operators gives to us a new proof of weighted perturbed Rellich inequalities. This talk is based on a joint work with V. Georgiev and H. Kubo.
Ricordiamo che questi seminari sono aperti a tuttə: la prima metà del seminario introduce i concetti e gli strumenti necessari per la seconda metà, dedicata agli argomenti di ricerca.
Per altre informazioni, visitate il nostro sito: https://seminarimap.wixsite.com/seminarimap
A presto,
Gli organizzatori: Daniele Barbera Leonardo Roveri Luciano Sciaraffia
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English Version <<<
Dear all,
Here the announcement to the next MAP seminar:
-->Speaker: Jeremy Mirmina (Università di Pisa)
-->Date: Wednesday 19 April, 15:00
-->Where: Aula Seminari, Dipartimento di Matematica (Pisa) and Online on Gmeet:
Mario Rastrelli (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/mario-rastrelli
-->Title: On the Laplacian perturbed with inverse square potential: the domain of its closure and of its square
-->Abstract: Perturbation of operators is a very rich branch of the modern analysis. The perturbation of Laplacian with inverse square potential arises, in particular, in the studies of non linear Schrödinger equation. So, in this talk, we want to give an explicit and easy characterization of the domain of the operator A=-Δ+b/|x|^2. Such characterization is also useful to determine the domain of A square in a similar way. The study of these operators gives to us a new proof of weighted perturbed Rellich inequalities. This talk is based on a joint work with V. Georgiev and H. Kubo.
We remind that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.
For more information, check our website:
https://seminarimap.wixsite.com/seminarimap
See you soon,
The organizers: Daniele Barbera Leonardo Roveri Luciano Sciaraffia
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