@Article{JPDE-20-2,
author = {},
title = {Life-span of Classical Solutions of Initial-boundary Value Problem for First Order Quasilinear Hyperbolic Systems},
journal = {Journal of Partial Differential Equations},
year = {2007},
volume = {20},
number = {2},
pages = {131--154},
abstract = {<p>In this paper, we consider the mixed initial-boundary value problem for quasilinear hyperbolic systems with nonlinear boundary conditions in a half-unbounded domain {(t, x)|t ≥ 0, x ≥ 0}. Under the assumption that the positive eigenvalues are not all weakly linearly degenerate, we obtain the blow-up phenomenon of the first order derivatives of C¹ solution with small and decaying initial data. We also give precise estimate of the life-span of C¹ solution.</p>},
issn = {2079-732X},
doi = {https://doi.org/2007-JPDE-5298},
url = {https://global-sci.com/article/88465/life-span-of-classical-solutions-of-initial-boundary-value-problem-for-first-order-quasilinear-hyperbolic-systems}
}