Abstract
Building on work in [Yunguang Lu (1993). The global Hölder continuous solution of isentropic gas dynamics. Proc. Roy. Soc. Edinburgh Sect ., 123A , 231-238.] we consider the Cauchy problem for the isentropic equations of gas dynamics in Eulerian coordinates. For a certain class of initial data we prove existence of Lipshitz-continuous solution for a wide class of the pressure functions.
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