Partial differential equations
Up to minor changes, we shall follow the official course syllabus available at USOS. You can use L.C. Evans’ book Partial Differential Equations; we will cover a part of it.
An ample problem book (alas, in Polish…) is available on the department web pages.
We will have a take home final exam, followed by an oral exam for all those who want to obtain a 5 or 5!.
Announcements & contents of past lectures
| 27-01-2024 | Lecture 13, a general survey of PDE problems related to geometry and physics |
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| 22-01-2024 |
 You can download the problems for the final exam here. 
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| 21-01-2024 | Lecture 12, existence and nonexistence for semilinear elliptic problems |
| 28-12-2023 | Problems, set no. 4 |
| 27-12-2023 | Lecture 11, Calculus of Variations and the Mountain Pass Theorem |
| 26-12-2023 | Lecture 10, Fourier transform (2) and its applications |
| 11-12-2023 | Lecture 9, Isoperimetric problem in the plane and Fourier transform (1) |
| 10-12-2023 | Lecture 8, regularity for 2nd order ellpitic equations |
| 23-11-2023 | Lecture 7, Weyl's theorem |
| 20-11-2023 | Some problems again |
| 19-11-2023 | Lectures 5 and 6 |
| 03-11-2023 | Simple problems on Sobolev spaces |
| 02-11-2023 | Lectures 3 and 4 |
| 23-10-2023 | Some problems on harmonic functions |
| 17-10-2023 | 2nd lecture |
| 10-10-2023 |
There will be no class on October 10 (I am attending a conference)
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| 03-10-2023 | First lecture |