Partielle Differentialgleichungen II - Einzelansicht

In this coure we discuss the solution of Quasilinear Elliptic Partial Differential Equations, which appear in different settings. One famous example is the Minimal Surface Equation or the description of Capillarity problems. To treat this kind of equations, we develop the existence and uniqueness of solutions to linear elliptic problems in Hölder spaces and the corresponding Schauder estimates.

This course will be held as an online only course. The central platform for communication is the corresponding Moodle course. Please register in this course to get access to the information.

While this course is essentially self contained, it is certaily useful if students are familiar with linear elliptic equations such as the Poisson equation and with basics of functional analysis.

Oral exam.