Conference abstracts

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   -   seiler@mathematik.uni-kassel.de

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).

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