Cauchy problem for degenerate hyperbolic equations
โ Scribed by Reiko Sakamoto
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 637 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper deals with the propagation of strong singularities for constant coefficient semilinear hyperbolic equations and systems. Limits of regularized solutions are computed as the initial data converge to derivatives of Dirac measures on lower dimensional submanifolds. A general method is given
## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d
## Abstract In this paper we shall consider some necessary and sufficient conditions for wellโposedness of second order hyperbolic equations with nonโregular coefficients with respect to time. We will derive some optimal regularities for wellโposedness from the intensity of singularity to the coeff