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Università degli Studi di Parma Università degli Studi di Parma
Second cycle degree course in
Mathematics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

EVOLUTION EQUATIONS
cod. 1001074

Academic year 2014/15
1° year of course - Second semester
Professor
Alessandra LUNARDI
Academic discipline
Analisi matematica (MAT/05)
Field
Attività formative affini o integrative
Type of training activity
Related/supplementary
72 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

The aim of the course consists in illustrating the semigroup theory and its application to the study of Cauchy problems associated to partial differential equations of parabolic type.

Prerequisites

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Course unit content

1. Bounded and strongly continuous semigroups.

2. Sectorial operators.

3. Generation of analytic semigroups by differential operators.

4. Intermediate spaces.

5. Nonhomogeneous problems.

6. Asymptotic behaviour in linear problems.

7. Nonlinear problems.

8. Behaviour near stationary solutions.

Full programme

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Bibliography

K. Engel, R. Nagel: One parameter semigroups for linear evolution equations, Springer-Verlag, Berlin, 1999

A. Lunardi: Analytic semigroups and optimal regularity in parabolic problems, Birkhauser, Basel, 1995.

Teaching methods

Lectures, assigned exercises

Assessment methods and criteria

Oral examination.

Other information

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2030 agenda goals for sustainable development

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Contacts

Toll-free number

800 904 084

Segreteria studenti

E. segreteria.scienze@unipr.it
T. +39 0521 905116

Quality assurance office

Education manager
dott.ssa Giulia Bonamartini
T. +39 0521 906968
Office E. smfi.didattica@unipr.it
Manager E.giulia.bonamartini@unipr.it

President of the degree course

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Faculty advisor

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Career guidance delegate

Prof. Francesco Morandin
E. francesco.morandin@unipr.it

Tutor Professors

Prof.ssa Alessandra Aimi
E. alessandra.aimi@unipr.it

Prof. Luca Lorenzi
E. luca.lorenzi@unipr.it

Prof. Adriano Tomassini
E. adriano.tomassini@unipr.it

 

Erasmus delegates

Prof. Leonardo Biliotti
E. leonardo.biliotti@unipr.it

Quality assurance manager

Prof.ssa Alessandra Aimi
E. alessandra.aimi@unipr.it

Internships

Prof. Costantino Medori
E. costantino.medori@unipr.it

Tutor students

Dott.ssa Fabiola Ricci
E. fabiola.ricci1@studenti.unipr.it