REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA |
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| Authors: | Wang Jinghua |
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| Institution: | Institute of Systems Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | We prove that for a given strictly increasing initial datum in Ck, the solution of the initial value problem is piecewise Ck smooth except for flux functions of nonconvex conservation laws in a certain subset of Ck+1 of first category, defined in the range of the initial datum. |
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| Keywords: | piecewise smooth solutions noncovex conservation laws a set of first category |
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