Enrollment year
2019/2020
Academic discipline
MAT/05 (MATHEMATICAL ANALYSIS)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Curriculum
PERCORSO COMUNE
Period
2nd semester (01/03/2021 - 11/06/2021)
Lesson hours
48 lesson hours
Prerequisites
Basic knowledges of functional analysis and geometric measure theory.
Learning outcomes
The goal of the course is to give an introduction to Calculus of Variations
Course contents
Direct method of Calculus of Variations. Existence and uniqueness results for intergral functionals on Lebesgue and Sobolev spaces. Regularity. Optimality conditions. Relaxation. Gamma Convergence, Examples and applications
Teaching methods
Lectures
Reccomended or required readings
G. Buttazzo, M. Giaquinta, S. Hildebrandt: “One-dimensional Variational Problems, an Introduction”.
Oxford University Press, 1998.
E. Giusti: “Direct Methods in the Calculus of Variations”. World Scientific 2003.
A. Braides: “Gamma-convergence for beginners”. Oxford University Press, 2002
Assessment methods
Oral examination on the arguments of the course. Moreover, during the course we will propose a series of exercises whose solutions will be discussed during the oral examination.
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