Quasilinear hyperbolic systems with involutions
โ Scribed by Constantine M. Dafermos
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 705 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Plasticity, ferromagnetism, ferroelectricity and other phenomena lead to quasilinear hyperbolic equations of the form where F is a (possibly discontinuous) hysteresis operator, and A is a second order elliptic operator. Existence of a solution is proved for an associated initial-and boundary-value
## 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
## Communicated by By T. Li The mechanism of singularity formation is discussed for a kind of blocked quasilinear hyperbolic system with linearly degenerate characteristics, so that the ODE singularity can be shown for some kinds of complete reducible systems and, in particular, all the results in