Alessandro Carlotto: Katalogdaten im Frühjahrssemester 2021 |
Name | Herr Dr. Alessandro Carlotto |
Lehrgebiet | Mathematik |
Adresse | Professur für Mathematik ETH Zürich, HG G 61.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telefon | +41 44 633 81 10 |
alessandro.carlotto@math.ethz.ch | |
Departement | Mathematik |
Beziehung | Assistenzprofessor |
Nummer | Titel | ECTS | Umfang | Dozierende | |
---|---|---|---|---|---|
401-3462-00L | Functional Analysis II | 10 KP | 4V + 1U | A. Carlotto | |
Kurzbeschreibung | Sobolev spaces, weak solutions of elliptic boundary value problems, basic results in elliptic regularity theory (including Schauder estimates), maximum principles. | ||||
Lernziel | Acquire 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. | ||||
Literatur | Michael 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 / Besonderes | Functional Analysis I plus a solid background in measure theory, Lebesgue integration and L^p spaces. | ||||
401-5350-00L | Analysis Seminar | 0 KP | 1K | A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, L. Kobel-Keller, T. Rivière, J. Serra, Uni-Dozierende | |
Kurzbeschreibung | Forschungskolloquium | ||||
Lernziel | |||||
Inhalt | Research seminar in Analysis |