SOME ENTROPY INEQUALITIES FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION
被引量:1
SOME ENTROPY INEQUALITIES FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION
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).
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.
-
1Xu Yumei.FORMATION OF SINGULARITIES FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY[J].Journal of Partial Differential Equations,2005,18(4):355-370. 被引量:2
-
2佟丽宁,袁洪君.一类带有非线性源并以有限Borel测度为初值的非线性双曲方程的BV解[J].数学年刊(A辑),2008,29(5):643-650. 被引量:1
-
3陈祖墀,钱椿林.具奇性的强退化椭圆型方程Dirichlet问题无穷多个W_0^(1,p)解(英文)[J].中国科学技术大学学报,1993,23(3):245-249.
-
4李梅.退化的半线性抛物方程解的全局存在及爆破[J].南京农专学报,1999,15(3):8-13. 被引量:1
-
5唐璐茜.一类非齐次退化方程的初值问题[J].华东交通大学学报,1991,8(1):53-60.
-
6袁洪君,佟丽宁.带有非线性源的以有限Radon测度为初值的拟线性双曲方程的BV解[J].数学物理学报(A辑),2010,30(1):54-70.
-
7陈怀军.三类代数方程摄动解的渐近展开式[J].安徽师范大学学报(自然科学版),2008,31(6):511-514.
-
8王世祥,吕显瑞.一类具强非线性退化抛物方程古典解的存在性[J].长春大学学报,1997,7(1):28-32.
-
9柳絮,高夯,林萍.由退化抛物方程支配串联系统的零能控性[J].数学物理学报(A辑),2008,28(6):985-996.
-
10张为元,李俊林.非线性退化扩散方程解的爆破[J].吉林化工学院学报,2006,23(4):77-78.