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Volume 7, Issue 2
Global Holder Continuous Solutions of Nonstrictly Hyperbolic Systems

Lu Yunguang

J. Part. Diff. Eq.,7(1994),pp.132-142

Published online: 1994-07

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  • Abstract
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.
  • Keywords

Nonstrictly hyperbolic systems H&#246lder continuous solutions vanishing viscosity

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@Article{JPDE-7-132, author = {Lu Yunguang}, title = {Global Holder Continuous Solutions of Nonstrictly Hyperbolic Systems}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {2}, pages = {132--142}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5677.html} }
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.
Lu Yunguang. (1994). Global Holder Continuous Solutions of Nonstrictly Hyperbolic Systems. Journal of Partial Differential Equations. 7 (2). 132-142. doi:
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