Alessandro Carlotto: Catalogue data in Spring Semester 2021

Name Prof. Dr. Alessandro Carlotto
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 61.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 633 81 10
E-mailalessandro.carlotto@math.ethz.ch
DepartmentMathematics
RelationshipAssistant Professor

NumberTitleECTSHoursLecturers
401-3462-00LFunctional Analysis II Information 10 credits4V + 1UA. Carlotto
AbstractSobolev spaces, weak solutions of elliptic boundary value problems, basic results in elliptic regularity theory (including Schauder estimates), maximum principles.
ObjectiveAcquire fluency with Sobolev spaces and weak derivatives on the one hand, and basic elliptic regularity on the other. Apply these methods for studying elliptic boundary value problems.
LiteratureMichael Struwe. Funktionalanalysis I und II. Lecture notes, ETH Zürich, 2013/14.

Haim Brezis. Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, New York, 2011.

Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi. Lectures on elliptic partial differential equations. Springer - Edizioni della Normale, Pisa, 2018.

David Gilbarg, Neil Trudinger. Elliptic partial differential equations of second order. Classics in Mathematics. Springer, Berlin, 2001.

Qing Han, Fanghua Lin. Elliptic partial differential equations. Second edition. Courant Lecture Notes in Mathematics, 1. Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2011.

Michael Taylor. Partial differential equations I. Basic theory. Second edition. Applied Mathematical Sciences, 115. Springer, New York, 2011.

Lars Hörmander. The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Classics in Mathematics. Springer, Berlin, 2003.
Prerequisites / NoticeFunctional Analysis I plus a solid background in measure theory, Lebesgue integration and L^p spaces.
401-5350-00LAnalysis Seminar Information 0 credits1KA. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, L. Keller, T. Rivière, J. Serra, University lecturers
AbstractResearch colloquium
Objective
ContentResearch seminar in Analysis