Partielle Differentialgleichungen I - Einzelansicht

Many laws of nature can be cast in the form of an equation for the partial derivatives of an unknown function. In this lecture we consider such equations in a systematic way.

A large part of thelecture is devoted to studying the classical examples for the three main types of equations. The Poisson equation as an elliptic equation describing static configurations of the, the het equation which is a parabolic equation, and the wave equation as a hyperbolic equation. The remaining part of the lecture considers the theory of existence and uniqueness of solutions to elliptic equations.

Note that this is an Online-Only course. All relevant information about the course, including format, time of the lectures and the Zoom data are available in the corresponding Moodle Course.

Remark: This lecture is continued as Partial Differential Equations II
in the Summer Semester 2022. A prerequisite of the continuation is the course Functional Analysis I.