Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
Year: 2003
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 240–254
Abstract
In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity(> 1), under the assumptions that there is a genuinely nonlinear simple characteristic and the initial data possess certain decaying properties, the blow-up result is obtained for the C¹ solution to the Cauchy problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JPDE-5422
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 240–254
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: quasilinear hyperbolic system