Session B3 - Symbolic Analysis
July 13, 16:00 ~ 16:25 - Room B2
Singular initial value problems for quasi-linear ordinary differential equations
Werner M. Seiler
Universität Kassel, Germany - firstname.lastname@example.org
We discuss the existence, (non-)uniqueness and regularity of solutions of initial value problems for quasi-linear ordinary differential equations where the initial data corresponds to a singularity of the equation. We show how the Vessiot distribution permits to reduce the question of existence and (non-)uniqueness to the study of the local solution behaviour of a vector field near a stationary point. For regularity results a similar analysis must be performed for different prolongations of the given equation.
Joint work with Matthias Seiß (Universität Kassel, Germany).