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On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples

Tom 60 / 2003

Petar Popivanov, Iordan Iordanov Banach Center Publications 60 (2003), 209-218 MSC: Primary 35L60, 35L67 DOI: 10.4064/bc60-0-16

Streszczenie

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.

Autorzy

  • Petar PopivanovInstitute of Mathematics and Informatics
    Bulgarian Academy of Sciences
    1113 Sofia
    Bulgaria
    e-mail
  • Iordan IordanovFaculty of Mathematics and Informatics
    Sofia University “St. Kl. Ohridski”
    blvd. “J. Bourchier” N. 5
    Sofia
    Bulgaria

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