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Volume 9, Issue 3
Life-span of Classical Solutions of Nonlinear Hyperbolic Systems

Dexing Kong

J. Part. Diff. Eq., 9 (1996), pp. 221-236.

Published online: 1996-09

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  • 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.
  • Keywords

Nonlinear hyperbolic system Cauchy problem life-span

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@Article{JPDE-9-221, author = {Dexing Kong }, title = {Life-span of Classical Solutions of Nonlinear Hyperbolic Systems}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5623.html} }
TY - JOUR T1 - Life-span of Classical Solutions of Nonlinear Hyperbolic Systems AU - Dexing Kong JO - Journal of Partial Differential Equations VL - 3 SP - 221 EP - 236 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5623.html KW - Nonlinear hyperbolic system KW - Cauchy problem KW - life-span AB - 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.
Dexing Kong . (1996). Life-span of Classical Solutions of Nonlinear Hyperbolic Systems. Journal of Partial Differential Equations. 9 (3). 221-236. doi:
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