English version below! <<<
Carə tuttə,
Vi annuncio il prossimo seminario MAP:
--> *Speaker:* Gianmarco Brocchi (Chalmers University / Gothenburg University)
--> *Data:* Lunedì 19 Giugno, ore 14
--> *Dove:* Aula Seminari del Dipartimento di Matematica (Pisa) e Online su Gmeet: Gianmarco Brocchi (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/gianmarco-brocchi
--> *Titolo:* *The Kato square root problem on pasta* --> *Abstract:* *Consider a matrix A with complex, bounded, coefficients, which satisfies an ellipticity condition. In 1953 Tosio Kato asked what is the domain of the square root operator of -div(A∇). Does it coincide with the one of ∇ and do they have comparable L^2 norms? For example, this is the case when A is the identity. The problem made history as the Kato square root problem, and was solved in 2002 by Auscher, Hofmann, Lacey, McIntosh and Tchamitchian. In the first part of this talk, I introduce the Kato square root problem and its applications (to boundary value problems, perturbation estimates, boundedness of Cauchy integral on Lipschitz curves). In the second part, I will survey the recent developments aiming to push the techniques used to solve the Kato problem on the whole space to more general manifolds. A particularly challenging question is if we can allow degenerate ellipticity, meaning that the matrix A perturbing the operator can fail to be elliptic at some point. This question is phrased in terms of weighted estimates for the operator -div(A∇), for which one wants to prove quadratic estimates.*
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 Jeremy Mirmina Mario Rastrelli Leonardo Roveri Luciano Sciaraffia
- o - o - o - o - o - o - o - o - o - o - o - o - o - o - o -
English Version <<<
Dear all,
Here the announcement of the next MAP seminar:
--> *Speaker: *Gianmarco Brocchi (Chalmers University / Gothenburg University)
--> *Date: *Monday 19th June, 14:00
--> *Where:* Aula Seminari, Dipartimento di Matematica (Pisa) and Online on Gmeet: Gianmarco Brocchi (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/gianmarco-brocchi
--> *Title: **The Kato square root problem on pasta*
--> *Abstract: **Consider a matrix A with complex, bounded, coefficients, which satisfies an ellipticity condition. In 1953 Tosio Kato asked what is the domain of the square root operator of -div(A∇). Does it coincide with the one of ∇ and do they have comparable L^2 norms? For example, this is the case when A is the identity. The problem made history as the Kato square root problem, and was solved in 2002 by Auscher, Hofmann, Lacey, McIntosh and Tchamitchian. In the first part of this talk, I introduce the Kato square root problem and its applications (to boundary value problems, perturbation estimates, boundedness of Cauchy integral on Lipschitz curves). In the second part, I will survey the recent developments aiming to push the techniques used to solve the Kato problem on the whole space to more general manifolds. A particularly challenging question is if we can allow degenerate ellipticity, meaning that the matrix A perturbing the operator can fail to be elliptic at some point. This question is phrased in terms of weighted estimates for the operator -div(A∇), for which one wants to prove quadratic estimates.*
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 Jeremy Mirmina Mario Rastrelli Leonardo Roveri Luciano Sciaraffia
_______________________________________________ Utenti mailing list -- utenti@lists.dm.unipi.it To unsubscribe send an email to utenti-leave@lists.dm.unipi.it