Svitlana Mayboroda: Katalogdaten im Herbstsemester 2023 |
| Name | Frau Prof. Dr. Svitlana Mayboroda |
| Lehrgebiet | Mathematik |
| Adresse | Professur für Mathematik ETH Zürich, HG G 63.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telefon | +41 44 632 41 69 |
| svitlana.mayboroda@math.ethz.ch | |
| URL | https://people.math.ethz.ch/~smayboroda |
| Departement | Mathematik |
| Beziehung | Ordentliche Professorin |
| Nummer | Titel | ECTS | Umfang | Dozierende | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 401-4443-DRL | Elliptic Partial Differential Equations  Only for ZGSM (ETH D-MATH and UZH I-MATH) doctoral students. The latter need to register at myStudies and then send an email to info@zgsm.ch with their name, course number and student ID. Please see https://zgsm.math.uzh.ch/index.php?id=forum0 | 2 KP | 2V + 1U | S. Mayboroda | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | The course covers fundamental properties of solutions to elliptic partial differential equations and associated boundary value problems, and introduces basic related tools of modern harmonic analysis and geometric measure theory. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Learn fundamental properties of the elliptic PDEs and associated toolbox of analysis, PDEs, and geometric measure theory. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | The course aims to address, in particular, the existence and uniqueness of weak solutions to elliptic equations with bounded measurable coefficients on rough domains, maximum principle and Harnack inequality, interior and boundary regularity (the De Giorgi-Nash-Moser estimates, boundedness and Holder continuity of solutions), comparison principle, the properties of the Green function and harmonic measure, and the relationship between them. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Kompetenzen |
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| 401-4443-73L | Elliptic Partial Differential Equations | 5 KP | 2V + 1U | S. Mayboroda | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 401-5350-00L | Analysis Seminar | 0 KP | 1K | F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, L. Kobel-Keller, S. Mayboroda, T. Rivière, J. Serra, Uni-Dozierende | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Research colloquium | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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