TY - JOUR
T1 - Global Holder Continuous Solutions of Nonstrictly Hyperbolic Systems
AU - Lu Yunguang
JO - Journal of Partial Differential Equations
VL - 2
SP - 132
EP - 142
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5677.html
KW - Nonstrictly hyperbolic systems
KW - Hölder continuous solutions
KW - vanishing viscosity
AB - This paper considers the Cauchy problem for nonstrictly hyperbolic systems u_t + \frac{1}{2}(au² + v²)_x = 0, v_t + (uv)_x = 0 and gives the Hölder continuous solutions under some stronger restrictions of data by applying the method of vanishing viscosity, where a > 2 is a constant.