Year: 1996
Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 3 : pp. 221–236
Abstract
In this paper, we give a lower bound for the life-span of classical solutions to the Cauchy problem for first order nonlinear hyperbolic systems with small initial data, which is sharp, and give its application to the system of one-dimensional gas dynamics; for the Cauchy problem of the system of one-dimensional gas dynamics with a kind of small oscillatory initial data, we obtain a precise estimate for the life-span of classical solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1996-JPDE-5623
Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 3 : pp. 221–236
Published online: 1996-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Nonlinear hyperbolic system