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| Uniqueness of the Entropy Solutions to Cauchy Problem for a Degenerate Parabolic-Hyperbolic Equation |
| HAO Xing-Wen-1, 2 , WANG Qin-1 |
| (1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China; 2. School of Mathematics and Information Sciences, Weifang University, Weifang 261061, Shandong, China) |
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Abstract Kuznetsov’s method is a useful tool to establish the error estimate between numerical solutions and entropy weak solution for hyperbolic equation. This paper uses this method to prove the uniqueness to the Cauchy problem of a special example of second order degenerate parabolic-hyperbolic equation, Meanwhile, the paper obtained that entropy solutions are continuous at t=0 in the sense of L1 norm by the double variable device.
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Received: 10 June 2010
Published: 29 July 2011
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