19242001
Lecture
WiSe 23/24: Partial Differential Equations II
Robert Lasarzik
Comments
Differential equations are a fundamental tool to model processes in science and technology. In this lecture we will first consider fixed-point theorems and use them to show solvability of nonlinear differential equations. Building on linear elliptic theory and Lax-Milgram's lemma, we will prove Browder--Minty's theorem, a general existence result for monotone operators. The generalization to pseudomonotone operators will allow us to treat the stationary Navier--Stokes equations and other examples. In the last part of the course, we will turn to nonsmooth problems and study maximal monotone operators.
Prerequisites: Analysis I-III, Linear Algebra
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Regular appointments
Wed, 2023-10-11 10:00 - 12:00
Wed, 2023-10-18 10:00 - 12:00
Wed, 2023-10-25 10:00 - 12:00
Wed, 2023-11-01 10:00 - 12:00
Wed, 2023-11-08 10:00 - 12:00
Wed, 2023-11-15 10:00 - 12:00
Wed, 2023-11-22 10:00 - 12:00
Wed, 2023-11-29 10:00 - 12:00
Wed, 2023-12-06 10:00 - 12:00
Wed, 2023-12-13 10:00 - 12:00
Wed, 2023-12-20 10:00 - 12:00
Wed, 2024-01-10 10:00 - 12:00
Wed, 2024-01-17 10:00 - 12:00
Wed, 2024-01-24 10:00 - 12:00
Wed, 2024-01-31 10:00 - 12:00
Wed, 2024-02-07 10:00 - 12:00
Wed, 2024-02-14 10:00 - 12:00
Mon, 2023-10-16 12:00 - 14:00
Mon, 2023-10-23 12:00 - 14:00
Mon, 2023-10-30 12:00 - 14:00
Mon, 2023-11-06 12:00 - 14:00
Mon, 2023-11-13 12:00 - 14:00
Mon, 2023-11-20 12:00 - 14:00
Mon, 2023-11-27 12:00 - 14:00
Mon, 2023-12-04 12:00 - 14:00
Mon, 2023-12-11 12:00 - 14:00
Mon, 2023-12-18 12:00 - 14:00
Mon, 2024-01-08 12:00 - 14:00
Mon, 2024-01-15 12:00 - 14:00
Mon, 2024-01-22 12:00 - 14:00
Mon, 2024-01-29 12:00 - 14:00
Mon, 2024-02-05 12:00 - 14:00
Mon, 2024-02-12 12:00 - 14:00