Cauchy Problem for a Quasi-Linear Hyperbolic Equation with Closed Support of Data

The Cauchy problem with closed support for a quasi-linear hyperbolic equation with a possible parabolic degeneracy is studied. The structure of the domain of solution is studied and initial conditions for which there exist areas of impenetrability of waves are found.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-09, Vol.193 (3), p.364-368
Hauptverfasser: Baghaturia, G., Gvazava, J., Menteshashvili, M.
Format: Artikel
Sprache:eng
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Zusammenfassung:The Cauchy problem with closed support for a quasi-linear hyperbolic equation with a possible parabolic degeneracy is studied. The structure of the domain of solution is studied and initial conditions for which there exist areas of impenetrability of waves are found.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1461-z