Mixed problems for quasilinear hyperbolic systems
โ Scribed by Jan Turo
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 586 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we prove that the C 0 boundedness of solution implies the global existence and uniqueness of C 1 solution to the mixed initial-boundary value problem for linearly degenerate, reducible quasilinear hyperbolic systems with nonlinear boundary conditions and we show by an example that the
## 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