This paper deals with the newly observed singularities of the solutions of some specific examples of weakly hyperbolic semilinear systems in R². 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-16,
author = {Petar Popivanov and Iordan Iordanov},
title = {On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {209-218},
zbl = {1024.35069},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-16}
}
Petar Popivanov; Iordan Iordanov. On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples. Banach Center Publications, Tome 60 (2003) pp. 209-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-16/