On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples
Volume 60 / 2003
Banach Center Publications 60 (2003), 209-218
MSC: Primary 35L60, 35L67
DOI: 10.4064/bc60-0-16
Abstract
This paper deals with the newly observed singularities of the solutions of some specific examples of weakly hyperbolic semilinear systems in ${\bf R}^2$. Two, respectively three, characteristics are supposed to be mutually tangential at the origin only and the initial data are continuous only. The exact strength of the new-born singularities is investigated too.
