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Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 3 : pp. 221–240

Abstract

For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degen- erate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C¹ solution to the Cauchy problem under an additional hypothesis.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5389

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 3 : pp. 221–240

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Quasilinear hyperbolic system