ANALYSIS SEMINAR - Thursday 4 April, at 14:00 - Arlúcio VIANA - VENUE: ICTP Leonardo building - Luigi Stasi Seminar Room

[ICTP Math Section]

_ANALYSIS  SEMINAR_

Thursday 4 Apr 2024, at 14:00

VENUE: ICTP Leonardo Building - Luigi Stasi Seminar Room


Speaker: Arlúcio Viana (Universidade Federal de Sergipe - Brazil)


Title: Nonlocal-in-time evolution equations


Abstract: In this talk, we first introduce some classes of 
nonlocal-in-time evolution equations in interpolation scales of Banach 
spaces and show a well-posedness result for them. We will do this by 
going through old and new results for the linear and semilinear Cauchy 
problems associated with those integrodifferential equations. As an 
application, we obtain the local well-posedness for a model describing a 
viscoelastic fluid with memory. Secondly, we use fractional-in-time 
diffusion equations to illustrate how the qualitative analysis of 
solutions can go further for nonlocal-in-time evolution equations and 
some of their difficulties.


/https://indico.ictp.it/event/10682//

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