Winter semester 2026/27
Table of contents
V: Methods of Functional Analysis
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3+1+0 |
MA Module Ma-13 | ||
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Target Audience |
Master’s programs in Mathematics, Mathematics in Business and Economics, and Technomathematics |
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OPAL |
OPAL Course | ||
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Schedule |
Tue |
13.00 11.10 |
WIL C106 WIL C106 In the first week of the semester, I intend to give three lectures |
| Contents | Many partial differential equations, such as diffusion equations, wave equations, or transport equations, can be written abstractly as a nonlinear Cauchy problem of the form u' + Au\ni f. Using a unified theory, we can prove well-posedness (existence and uniqueness of solutions, continuous dependence on the initial data) and also study the qualitative behavior of solutions. This master’s-level course is offered in parallel with the 30th International Internet Seminar on Evolution Equations, in which students automatically participate during the first phase. However, there is the option to participate in a project phase starting in February and a concluding workshop (May 2027) in Marienthal / Ostritz (for an additional 2 SWS credit). The only prerequisite is knowledge from a bachelor’s-level functional analysis course (Banach spaces, Hilbert spaces, Hahn-Banach theorem, principle of uniform boundedness). The SRW by Eva Fasangova is recommended for this course. | ||
S: Seminar on “Topics in Mathematical Physics”
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Module Math-Ma-SRW (for example; other credit options are possible) The (underground) seminar on topics in mathematical physics, which has been held since 2009, provides an opportunity for physics and mathematics students starting in their 4th semester to engage with their fields of study in an interdisciplinary manner. Doctoral students are also warmly invited. |
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| Target audience: | Bachelor’s and Master’s students in mathematics or physics |