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Applicable Analysis
An International Journal
Volume 31, 1989 - Issue 4
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Original Articles

Convergence of solutions to nonlinear dispersive equations without convexity conditions

Lu Yunguang Wuhan Inst. of Math. Sci. Academia Sinica, China
Pages 239-246 | Received 20 May 1988, Published online: 04 Mar 2011

Citations (16)

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Giuseppe Maria Coclite & Kenneth Hvistendahl Karlsen. (2006) A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation. Communications in Partial Differential Equations 31:8, pages 1253-1272.
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Articles from other publishers (15)

Giuseppe Maria Coclite & Lorenzo Di Ruvo. (2017) A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law. Discrete & Continuous Dynamical Systems - A 37:3, pages 1247-1282.
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Jim Magiera, Christian Rohde & Iryna Rybak. (2015) A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow. Transport in Porous Media 114:2, pages 425-455.
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Giuseppe Maria Coclite & Lorenzo di Ruvo. (2016) A singular limit problem for the Ibragimov-Shabat equation. Discrete and Continuous Dynamical Systems - Series S 9:3, pages 661-673.
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Andrea Corli, Christian Rohde & Veronika Schleper. (2014) Parabolic approximations of diffusive–dispersive equations. Journal of Mathematical Analysis and Applications 414:2, pages 773-798.
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Andrea Corli & Christian Rohde. (2012) Singular limits for a parabolic–elliptic regularization of scalar conservation laws. Journal of Differential Equations 253:5, pages 1399-1421.
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Zhixin Cheng. (2010) Relaxation limit for a symmetrically hyperbolic system. Nonlinear Analysis: Theory, Methods & Applications 72:2, pages 555-561.
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Zhixin Cheng. (2008) Strong convergence of approximate solutions for nonlinear hyperbolic equation without convexity. Journal of Mathematical Analysis and Applications 340:1, pages 558-568.
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Giuseppe M. Coclite & Kenneth H. Karlsen. (2006) On the well-posedness of the Degasperis–Procesi equation. Journal of Functional Analysis 233:1, pages 60-91.
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Huijiang Zhao & Benjin Xuan. (1997) Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term. Nonlinear Analysis: Theory, Methods & Applications 28:11, pages 1835-1849.
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Huijiang Zhao. (1996) FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES WITH SINGULAR INITIAL DATA Lp ( p < ∞). Acta Mathematica Scientia 16:3, pages 308-320.
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Huijiang Zhao, Changjiang Zhu & Zhong Yu. (1995) Existence and convergence of solutions to a singularly perturbed higher order partially differential equation. Nonlinear Analysis: Theory, Methods & Applications 24:10, pages 1435-1455.
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Yunguang Lu. (1994) Cauchy problem for a hyperbolic model. Nonlinear Analysis: Theory, Methods & Applications 23:9, pages 1135-1144.
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Yunguang Lu. (2011) Convergence of the viscosity method for some nonlinear hyperbolic systems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124:2, pages 341-352.
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Yunguang Lu. (1992) Convergence of the viscosity method for a nonstrictly hyperbolic conservation law. Communications in Mathematical Physics 150:1, pages 59-64.
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Yun-guang Lu. (2011) Cauchy problem for an extended model of combustion. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 120:3-4, pages 349-360.
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