Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
Year: 2005
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 355–370
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), a blow-up result is obtained for the C¹ solution to the Cauchy problem under the assumptions where there is a simple genuinely nonlinear characteristic and the initial data possess certain weaker decaying properties.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JPDE-5370
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 355–370
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Quasilinear hyperbolic systems