Sala delle Riunioni (Dip. Matematica Applicata)

On generalized derivative NLS

Tipo Seminario: 
Relatore: 
Felipe Linares

 In this talk we will present recent results concerning

the initial value problem (IVP) associated to generalized derivative Schrödinger 

equations. We show local well-posedness for small initial data in a suitable weighted

Sobolev spaces. We use an argument introduced by Cazenave and Naumkin to

obtain our main results combined with the homogeneus and inhomogeneous smoothing

effects of Kato type. If time permits we will show how these results can be extended for

any data size in a suitable class.

Aula: 
Sala delle Riunioni (Dip. Matematica Applicata)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
IMPA
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Definable henselian valuation rings

Tipo Seminario: 
Relatore: 
Alexander Prestel

A valuation ring O of a field K is called "henselian" if every polynomial in one variable with coefficients from O that has a simple zero in the quotient of O w.r.t. its maximal ideal, has already a zero in K. Such henselian fields are for example  local fields and all generalized power series fields. In all these examples the valuation ring O remains fixed under all field automorphisms from K. The reason for this is that O can be defined by a first order formula in the language of rings.

Aula: 
Sala delle Riunioni (Dip. Matematica Applicata)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Universität Konstanz, Germania
Ora Inizio: 
Saturday, January 1, 0000 - 13:30
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