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Convergence of solutions to nonlinear dispersive equations. (English) Zbl 0496.35058


MSC:

35L60 First-order nonlinear hyperbolic equations
35L65 Hyperbolic conservation laws
35A35 Theoretical approximation in context of PDEs
35B20 Perturbations in context of PDEs
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References:

[1] Bona, J, and Schonbek, M., Some results on the travelling wave solutions of the Korteweg de Vries Burger equation. To appear · Zbl 0594.76015
[2] Dacorogna, B., A generic result for nonconvex problems in the calculus of variations, to appear in J. Func.Anal. · Zbl 0547.49003
[3] Lax P., Proc. Nat. Acad. Sci. U.S.A. 76 (8) pp 3602– (1979) · Zbl 0411.35081 · doi:10.1073/pnas.76.8.3602
[4] Murat F., Ann. Scuola Norm. Sup. Pisa Sci. Fis. Math. 5 pp 489– (1978)
[5] Murat F., Ann. Scuola Norm.Sup. Pisa 8 pp 69– (1981)
[6] Murat, F L’injection du cone positif de H\(sup:1\)esup: dans Wl,q est compacte pour tout q < 2. Preprint
[7] Tartar L., Research Notes in Mathematics (1979)
[8] Lecture Notes in Math. 665 pp 228– (1977)
[9] Whitham G. B., Linear and Nonlinear Waves (1974) · Zbl 0373.76001
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