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SOME ENTROPY INEQUALITIES FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION 被引量:1

SOME ENTROPY INEQUALITIES FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION
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出处 《Journal of Partial Differential Equations》 2005年第4期289-303,共15页 偏微分方程(英文版)
基金 Project supported by the Teaching and Research Award Found for 0utstanding Young Teachers in Higher Education Institutions of M0E, China (No.[2000]26) and supported by the National Natural Science Foundation of China (No.1001015).
关键词 不等式 准线性双曲线方程 退化方程 BV解 Quasilinear hyperbolic equations entropy inequality.
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同被引文献6

  • 1袁洪君.退缩抛物方程正则化方法在双曲守恒律研究中的应用[J].吉林大学自然科学学报,1995(4):1-4. 被引量:7
  • 2YUAN Hong-jun. Existence and Uniqueness of BV Solutions for a Conservation Law with it-Finite Borel Measures as Initial Conditions [J]. J Differential Equations, 1998, 146( 1 ): 90-120.
  • 3YUAN Hong-jun. Cauchy's Problem for Degenerate Quasilinear Hyperbolic Equations with Measures as Initial Values [J]. J Partial Diff Eqs, 1999, 12(2) : 149-178.
  • 4YUAN Hong-jun, ZHENG Xiao-yu. Existence and Uniqueness for a Quasilinear Hyperbolic Equation with σ-Finite Borel Measures as Initial Conditions [ J]. J Math Anal Appl, 2003, 277( 1 ) : 27-50.
  • 5YUAN Hong-jun, TONG Li-ning, XU Xiao-jing. BV Solutions for the Cauchy Problem of a Quasilinear Hyperbolic Equation with σ-Finite Borel Measure and Nonlinear Source [J]. J Math Anal Appl, 2005, 311(2) : 715-735.
  • 6Smoller J. Shock Waves and Reaction-diffusion Equations [ M ]. Berlin: Springer-Verlag, 1999.

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