Breakdown of classical solutions to Cauchy problem for inhomogeneous quasilinear hyperbolic systems

Yumei Xu and Libin Wang ()
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Yumei Xu: Qufu Normal University
Libin Wang: Fudan University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 6, 827-851

Abstract: Abstract This paper deals with the asymptotic behavior of the life-span of classical solutions to Cauchy problem for inhomogeneous quasilinear strictly hyperbolic systems with weaker decaying initial data. Under the assumption that the source term satisfies the corresponding matching condition, we obtains a blow-up result for C 1 solution to the Cauchy problem.

Keywords: Quasilinear hyperbolic systems; Cauchy problem; formation of singularities; lifespan; matching condition (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0156-1

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