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.