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Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
Branching Discrete Asymptotics in Weighted Edge Spaces
Quando:
03.12.2014 13.30 h
Dove:
Palazzo Campana - Torino
Aula:
Aula C
Relatore:
Prof. B.-W. Schulze
Afferenza:
Università di Potsdam
Proponente:
J. Seiler
Locandina:
Locandina

Descrizione

Regularity of solutions to elliptic equations on a manifold with edge, in particular, of boundary value problems (BVPs) without the transmission property, is expected in terms of weighted edge spaces and subspaces with asymptotics. An example is the Laplacian in a (say smooth) domain with oblique derivative conditions, determined by two vector fields on different parts int Y_- and int Y_+ of the boundary Y that have a jump along an interface Z=Y_-\cap Y_+ of codimension 1  on Y. Asymptotics take place in the distance variable r >0 to the boundary, and their form is expected as a linear combination of terms r^{p_j}log^k r for complex exponents p_j and some logarithmic powers k=0,. . .,m_j. In general, the asymptotic data (p_j,m_j)_{j=0,. . . N} including the coefficients depend on the variable z \in Z. Except for the fact that these data form a very fragile information that can easily destroyed under pseudo-differential actions, involved in parametrix constructions that should deliver such a kind of regularity, the shape of singular functions itself is an interesting invention which also allows to describe Green's functions of such BVPs. We outline recent progress in studying such asymptotic phenomena and illustrate their role in the pseudo-differential analysis on stratified spaces.

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino

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