CIMPA-ICTP course (24 - 27 November) - VENUE: Luigi Stasi Seminar room/HYBRID

[ICTP Math Section]

*CIMPA-ICTP Course "Semi-group Theory: Abstract Cauchy Problem and 
Evolution Equations"*

Timetable and venue: Leonardo Building - Luigi Stasi Seminar Room and 
via Zoom

Monday 24 November: 2:00 PM - Luigi Stasi seminar room
Tuesday 25 November: 2:00 PM - Luigi Stasi seminar room
Wednesday 26 November:  2:00 PM - Luigi Stasi seminar room
Thursday 27 November: 2:00 PM - Luigi Stasi seminar room

_Link to zoom registration:_
https://zoom.us/meeting/register/yCQwLqfRSEyOuVrlhrMisg

Abstract: Many natural problems can be described as an abstract Cauchy 
problem (ACP). This includes initial value or initial- boundary value 
problems arising from the partial differential equations (PDEs). These 
problems find applications in physics, mechanics, engineering, control 
theory, etc. They can be put as an (ACP) by considering the associated 
differential operator in the space variables as operators in some 
function space. This leads to defining the domain of the operator and 
considering the boundary conditions into the domain of the operator. The 
aim of these courses is to prepare a simple and independent presentation 
of the theory of semi-groups of bounded linear operators and its 
application in PDEs. After the introduction, we will find, in chapter 1, 
some preliminary results: definitions, lemmas and theorems that we will 
use throughout these courses. Then, in chapter 02, we introduce the 
theory of one-parameter semigroups of bounded linear operators. Chapter 
03 is concerned with study in detail of the (ACP). First we will study 
the homogeneous problem and the nonhomogeneous problem, and on the 
occasion we give some illustrative applications to PDEs. Then we will 
focus on the regularity and the asymptotic behavior of the solutions.

/Please note: The CIMPA-ICTP Courses will be recorded and broadcasted./

/https://indico.ictp.it/event/11205
/

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Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela
<https://www.ictp.it/>