The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data
β Scribed by Shuxiang Chen; Daoyuan Fang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1995
- Tongue
- English
- Weight
- 963 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
We investigate the global Cauchy problem for a class of semilinear hyperbolic systems where the interaction can be nonlocal in space and time. We establish global existence theorems for the initial value problem when the nonlinearity is dissipative in a weak sense, and satisfies the causality condit
Manuscript presented by M.P. MALLIAVIN, received in Januar 1998 ABSTRACT. -The Cauchy problem for weakly hyperbolic equations is generally not C β well posed without assuming conditions on lower order terms: this is well known since the famous E.E. Levi paper [7], generalized many years later by sev