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Singularities of solutions for first order quasilinear hyperbolic systems

Published online by Cambridge University Press:  14 November 2011

Lee Da-tsin(Li Ta-tsien)  and
Shi Jia-hong
Lee Da-tsin(Li Ta-tsien)
Affiliation:
Department of Mathematics, Fudan University, Shanghai, China
Shi Jia-hong
Affiliation:
Department of Mathematics, Fudan University, Shanghai, China
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Synopsis

In this paper, the existence of global smooth solutions and the formation of singularities of solutions for strictly hyperbolic systems with general eigenvalues are discussed for the Cauchy problem with essentially periodic small initial data or nonperiodic initial data. A result of Klainerman and Majda is thus extended to the general case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 137 - 147
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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