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Cauchy Problem for General Rst Order Inhomogeneous Quasilinear Hyperbolic Systems
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@Article{JPDE-15-46,
author = {},
title = {Cauchy Problem for General Rst Order Inhomogeneous Quasilinear Hyperbolic Systems},
journal = {Journal of Partial Differential Equations},
year = {2002},
volume = {15},
number = {1},
pages = {46--68},
abstract = { In this paper, we consider Cauchy problem for general first order inho- mogeneous quasilinear strictly hyperbolic systems. Under the matching condition, we first give an estimate on inhomogeneous terms. By this estimate, we obtain the asymptotic behaviour for the life-span of C¹ solutions with “slowly” decaying and small initial data and prove that the formation of singularity is due to the envelope of characteristics of the same family.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5440.html}
}
TY - JOUR
T1 - Cauchy Problem for General Rst Order Inhomogeneous Quasilinear Hyperbolic Systems
JO - Journal of Partial Differential Equations
VL - 1
SP - 46
EP - 68
PY - 2002
DA - 2002/02
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5440.html
KW - Quasilinear hyperbolic system
KW - matching condition
KW - life-span
KW - weak linear degeneracy
AB - In this paper, we consider Cauchy problem for general first order inho- mogeneous quasilinear strictly hyperbolic systems. Under the matching condition, we first give an estimate on inhomogeneous terms. By this estimate, we obtain the asymptotic behaviour for the life-span of C¹ solutions with “slowly” decaying and small initial data and prove that the formation of singularity is due to the envelope of characteristics of the same family.
Shumin Li . (2019). Cauchy Problem for General Rst Order Inhomogeneous Quasilinear Hyperbolic Systems.
Journal of Partial Differential Equations. 15 (1).
46-68.
doi:
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