401-3462-00L Functional Analysis II
Semester | Spring Semester 2021 |
Lecturers | A. Carlotto |
Periodicity | yearly recurring course |
Language of instruction | English |
Courses
Number | Title | Hours | Lecturers | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
401-3462-00 V | Functional Analysis II | 4 hrs |
| A. Carlotto | |||||||||
401-3462-00 U | Functional Analysis II Groups are selected in myStudies. | 1 hrs |
| A. Carlotto |
Catalogue data
Abstract | Sobolev spaces, weak solutions of elliptic boundary value problems, basic results in elliptic regularity theory (including Schauder estimates), maximum principles. |
Objective | 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. |
Literature | 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. |
Prerequisites / Notice | Functional Analysis I plus a solid background in measure theory, Lebesgue integration and L^p spaces. |
Performance assessment
Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
ECTS credits | 10 credits |
Examiners | A. Carlotto |
Type | session examination |
Language of examination | English |
Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
Mode of examination | oral 30 minutes |
This information can be updated until the beginning of the semester; information on the examination timetable is binding. |
Learning materials
Main link | lecture homepage |
Recording | ETH videoportal |
Learning environment | class |
Documents | Documents |
Literature | lectures homepage |
Additional links | lectures homepage |
Only public learning materials are listed. |
Groups
401-3462-00 U | Functional Analysis II | ||||||
Groups | G-01 |
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G-02 |
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Restrictions
There are no additional restrictions for the registration. |