In my thesis I investigate the Maxwell-Schrödinger system in the full
space with a power nonlinearity. I develop a comprehensive local
well-posedness theory in suitable spaces above the energy level, which
comprises existence, uniqueness, continuous dependence and conserved
quantities of solutions to the Cauchy problem.
18.02.2020, On global well-posedness of the Maxwell–Schrödinger
system, TULKKA, Konstanz.
19.11.2019, On global well-posedness of the Maxwell–Schrödinger
system, Oberseminar Funktionalanalysis, Karlsruhe.
09.10.2019, Maxwell-Schrödinger system: well-posedness and
standing waves, PhD colloquium, Karlsruhe.
09.04.2019, On the Maxwell–Schrödinger system, iRTG
workshop, Karlsruhe.
13.07.2017, On well-posedness of Maxwell-Schrödinger
systems, CRC seminar, Karlsruhe.
15.09.2016, Minimizing L²-norm with prescribed eigenvalue,
CRC summer school, Karlsruhe.
01.06.2015, Adapted function spaces, spaces of bounded variation
and applications, RTG seminar, Karlsruhe.
26.08.2014, Strichartz and dispersive estimates, RTG short
course, Bad Herrenalb.
28.07.2014, Eigenvalue inequalities in terms of Schatten norm
bounds on differences of semigroups and an application to Schrödinger
operators, Workshop of the 17th ISEM, Blaubeuren.
22.04.2014, Eine invariante Mannigfaltigkeit für eine kritische
nichtlineare Schrödingergleichung, Oberseminar Funktionalanalysis,
Karlsruhe.
13.07.2013, Minimal smoothness assumptions on the nonlinearity
for local wellposedness of semilinear Schrödinger equations,
Workshop of the 16th ISEM, Blaubeuren.
04.06.2012, Nonautonomous equations and evolution families,
Workshop of the 15th ISEM, Blaubeuren.
Wrong
PIN Shutdown is a simple Android app available from F-Droid which
shutdowns the device after multiple wrong PIN entries. The app only
works on rooted devices and the source code is freely
available.
A mountain peak is called extremal if the tangential plane
at the peak does not intersect the earth at any other point. A map of
all extremal
mountain peaks based on OpenStreetMap data can be created with this
code.
Some pharmacies promote alternative medicine more heavily on their
websites than others. I created a map which visualizes
these differences. The map is created from this code and is based on
OpenStreetMap data and rough web crawling.
At the AG DANK
2015 a data set from an online car configurator was presented. I
created a simple visualization of
450 000 car configurations.