@article{JEDP_1997____A3_0, author = {Colin, Thierry}, title = {Un probl\`eme aux limites pour l'\'equation de {Korteweg-de} {Vries} sur un intervalle born\'e}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {3}, pages = {1--10}, publisher = {Ecole polytechnique}, year = {1997}, mrnumber = {1482270}, zbl = {01808663}, language = {fr}, url = {http://archive.numdam.org/item/JEDP_1997____A3_0/} }
TY - JOUR AU - Colin, Thierry TI - Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné JO - Journées équations aux dérivées partielles PY - 1997 SP - 1 EP - 10 PB - Ecole polytechnique UR - http://archive.numdam.org/item/JEDP_1997____A3_0/ LA - fr ID - JEDP_1997____A3_0 ER -
Colin, Thierry. Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné. Journées équations aux dérivées partielles (1997), article no. 3, 10 p. http://archive.numdam.org/item/JEDP_1997____A3_0/
[1] The initial-value problem for the Korteweg-de Vries equation, Phil. Trans. Roy. Soc. London A, 278, p. 555-601, (1975). | MR | Zbl
and ,[2] The Korteweg-de Vries equation posed in a quarter-plane, SIAM J. Math. Anal, 14, p. 1056-1106, (1983). | MR | Zbl
and[3] The Korteweg-de Vries equation in a quarter plane, continuous dependence results, Differential and Integral Equations, 2, p. 228-250, (1989). | MR | Zbl
and ,[4] Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation, Geom. Funct. Anal. 3, No.3, 209-262 (1993). | MR | Zbl
[5] Generalized boundary-value problems for the Korteweg-de Vries equation in bounded regions, Sov. Math., Dokl. 20, p.685-688 (1979). | Zbl
,[6] Solvability in the large of nonlinear boundary-value problem for the Korteweg-de Vries equation in bounded regions, Differ. Equations 16, p. 24-30 (1980). | MR | Zbl
,[7] An initial-bounary-value problem for the Korteweg-de Vries equation posed on a finite interval, en préparation. | Zbl
and ,[8] A bilinear estimate with application to the KdV equation, J. Am. Math. Soc. 9, No.2, 573-603 (1996). | MR | Zbl
, and ,