@article{AIHPC_1996__13_4_529_0, author = {Birnir, Bj\"orn and Ponce, Gustavo and Svanstedt, Nils}, title = {The local ill-posedness of the modified KdV equation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {13}, year = {1996}, pages = {529-535}, mrnumber = {1404320}, zbl = {0858.35130}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1996__13_4_529_0} }
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils. The local ill-posedness of the modified KdV equation. Annales de l'I.H.P. Analyse non linéaire, Tome 13 (1996) pp. 529-535. http://gdmltest.u-ga.fr/item/AIHPC_1996__13_4_529_0/
[1] Batemann Manuscript Project, Tables of Integral Transforms, Vol. I Mc Graw-Hill, New York, 1954.
[2] On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations, to appear in the Journal of the London Math. Soc., 1996. | MR 1347022 | Zbl 0855.35112
, , , and ,[3] Korteweg de Vries equation and generalizations IV. The Korteweg de Vries equation as a Hamiltonian system, J. Math. Phys., Vol. 12, 1971, pp. 1548-1551. | MR 286402 | Zbl 0283.35021
,[4] On the blowing-up solutions to the Cauchy problem for nonlinear Schrödinger equations, J. Math. Phys., Vol. 18, 1979, pp. 1794-1797. | MR 460850 | Zbl 0372.35009
,[5] Methods for solving the Korteweg-de Vries equation, Physical Review Letters, Vol. 19, 1967, pp. 1095-1097. | Zbl 1061.35520
, , and ,[6] Well-posedness and scattering results for the generalized Korteweg-de Vries equation via contraction principle, Comm. Pure Appl. Math., Vol. 46, 1993, pp. 527-620. | MR 1211741 | Zbl 0808.35128
, and ,[7] Korteweg-de Vries equation and generalizations I. A remarkable explicit nonlinear transformation, J. Math. Phys., Vol. 9, 1968, pp. 1202-1204. | MR 252825 | Zbl 0283.35018
,[8] Nonlinear superposition and absorption of delta waves in one space dimension, J. Funct. Anal., Vol. 73, 1987, pp. 152-178. | MR 890661 | Zbl 0661.35058
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