Michael Struwe: Catalogue data in Spring Semester 2019

Award: The Golden Owl
Name Prof. em. Dr. Michael Struwe
FieldMathematik
Address
Dep. Mathematik
ETH Zürich, HG G 50.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 633 81 48
Fax+41 44 632 14 74
E-mailmichael.struwe@math.ethz.ch
URLhttp://www.math.ethz.ch/~struwe
DepartmentMathematics
RelationshipProfessor emeritus

NumberTitleECTSHoursLecturers
401-3356-00LCalculus of Variations8 credits3GM. Struwe
AbstractVariational principles, Euler-Lagrange equation, existence of minimizers and/or saddle points, Palais-Smale condition, pseudo-gradient-flow, minimax-principles, applications to partial differential equations.
ObjectiveCharacterization of solutions to certain partial differential equations as critical points of a suitable variational integral. Strategies for showing existence of critical points.
ContentVariational principles, Euler-Lagrange equation, existence of minimizers and/or saddle points, Palais-Smale condition, pseudo-gradient-flow, minimax-principles, applications to partial differential equations.
LiteratureM. Struwe: Variational Methods, Springer, 4th edition, 2008
401-5350-00LAnalysis Seminar Information 0 credits1KM. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, T. Rivière
AbstractResearch colloquium
Objective
ContentResearch seminar in Analysis
406-2303-AALComplex Analysis
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
6 credits13RM. Struwe
AbstractComplex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem.
Objective
LiteratureL. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.

B. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.

R.Remmert: Theory of Complex Functions.. Springer Verlag

E.Hille: Analytic Function Theory. AMS Chelsea Publication
Prerequisites / NoticeThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.