@Article{JPDE-16-1,
author = {},
title = {Global C1 Solution to the Initial-boundary Value Problem for Diagonal Hyperbolic Systems with Linearly Degenerate Characteristics},
journal = {Journal of Partial Differential Equations},
year = {2003},
volume = {16},
number = {1},
pages = {8--17},
abstract = { We prove that the Cº boundedness of solution implies the global existence and uniqueness of C¹ solution to the initial-boundary value problem for linearly degenerate quasilinear hyperbolic systems of diagonal form with nonlinear boundary conditions. Thus, if the C¹ solution to the initial-boundary value problem blows up in a finite time, then the solution itself must tend to the infinity at the starting point of singularity.},
issn = {2079-732X},
doi = {https://doi.org/2003-JPDE-5401},
url = {https://global-sci.com/article/88568/global-c1-solution-to-the-initial-boundary-value-problem-for-diagonal-hyperbolic-systems-with-linearly-degenerate-characteristics}
}