A mixed initial-boundary-value problem for the Korteweg-de Vries equation on a bounded interval;Un problème mixte pour l'équation de Korteweg-de Vries sur un intervalle borné

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 5, 1997, Pages 599-603

  Colin, Thierry ^a   Ghidaglia, Jean Michel ^a  

^a NONE

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Indexed keywords

EID: 0031094051     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(99)80397-8     Document Type: Article

References (7)

1. [1] Bona J. et Smith R., 1975. The initial-value problem for the Korteweg-de Vries equation, Phil. Trans. Roy. Soc. London A, 278, p. 555-601.
2. [2] Bona J. et Winther R., 1983. The Korteweg-de Vries equation posed in a quarter-plane. SIAM J. Math. Anal., 14, p. 1056-1106.
3. [3] Bona J. et Winther R., 1989. The Korteweg-de Vries equation in a quarter plane, continuous dependence results, Differential Integral Equations, 2, p. 228-250.
4. [4] Colin T. et Ghidaglia J.M. An initial-houndary-value problem for the Korteweg-de Vries equation posed on a finite interval, en préparation.
5. [5] Kenig C.E., Ponce G. et Vega L., 1994. A bilinear estimate with applications to the KdV equation, J. Amer. Math. Soc. (9), (1996), n° 2, p. 573-603.
6. [6] Mei C.C., 1994. The applied dynamics of ocean surface waves, World Scientific, Singapore.
7. [7] Temam R., 1969. Sur un problème non linéaire, J. Math. Pures Appl., 48, p. 159-172.