Alessandro Carlotto: Katalogdaten im Frühjahrssemester 2021

NameHerr Prof. Dr. Alessandro Carlotto
LehrgebietMathematik
Adresse
Professur für Mathematik
ETH Zürich, HG G 61.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telefon+41 44 633 81 10
E-Mailalessandro.carlotto@math.ethz.ch
DepartementMathematik
BeziehungAssistenzprofessor

NummerTitelECTSUmfangDozierende
401-3462-00LFunctional Analysis II Information 10 KP4V + 1UA. Carlotto
KurzbeschreibungSobolev spaces, weak solutions of elliptic boundary value problems, basic results in elliptic regularity theory (including Schauder estimates), maximum principles.
LernzielAcquire 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.
LiteraturMichael 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.
Voraussetzungen / BesonderesFunctional Analysis I plus a solid background in measure theory, Lebesgue integration and L^p spaces.
401-5350-00LAnalysis Seminar Information 0 KP1KA. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, L. Keller, T. Rivière, J. Serra, Uni-Dozierende
KurzbeschreibungForschungskolloquium
Lernziel
InhaltResearch seminar in Analysis