@article{AIHPC_1992__9_2_147_0, author = {Craig, W. and Kappeler, Thomas and Strauss, Walter A.}, title = {Gain of regularity for equations of KdV type}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {9}, year = {1992}, pages = {147-186}, mrnumber = {1160847}, zbl = {0764.35021}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1992__9_2_147_0} }
Craig, W.; Kappeler, T.; Strauss, W. Gain of regularity for equations of KdV type. Annales de l'I.H.P. Analyse non linéaire, Tome 9 (1992) pp. 147-186. http://gdmltest.u-ga.fr/item/AIHPC_1992__9_2_147_0/
[Co] Solutions of the Korteweg-de Vries Equation from Irregular Data, Duke Math. J., Vol. 45, 1978, pp. 149-181. | MR 470533 | Zbl 0372.35022
,[CS] Local Smoothing Properties of Dispersive Equations, J. A.M.S., Vol. 1, 1988, pp. 413-439. | MR 928265 | Zbl 0667.35061
and ,[CG] Linear Dispersive Equations of Airy Type, J. Diff. Equ., Vol. 87, 1990, pp. 38-61. | MR 1070026 | Zbl 0709.35090
and ,[CKS] Infinite Gain of Regularity for Dispersive Evolution Equations, Microlocal Analysis and Nonlinear Waves, I.M.A., Vol. 30, Springer, 1991, pp. 47-50. | MR 1120283 | Zbl 0767.35076
, and ,[GV] Commutator Expansions and Smoothing Properties of Generalized Benjamin-Ono Equations, preprint.
and ,[HO] Smoothing Effect for Some Schrödinger Equations, J. of Funct. Anal., Vol. 85, 1989, pp. 307-348. | MR 1012208 | Zbl 0681.35079
and ,[HNT1] On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equation in One Space Dimension, Math. Z., Vol. 192, 1986, pp. 637-650. | MR 847012 | Zbl 0617.35025
, and ,[HNT2] On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equation, J. Funct. Anal., Vol. 71, (1987), pp. 218-245. | MR 880978 | Zbl 0657.35033
, and ,[Ka] On the Cauchy Problem for the (Generalized) Korteweg-de Vries Equation, Adv. in Math. Suppl. Studies; Studies in Appl. Math., Vol. 8, 1983, pp. 93-128. | MR 759907 | Zbl 0549.34001
,[KF] Generalized Solutions to the Cauchy Problem for the Korteweg-de Vries Equation, Math. U.S.S.R. Sbornik, vol. 48, 1984, pp. 93-138. | MR 691986 | Zbl 0549.35104
and ,[Po] Regularity of Solutions to Nonlinear Dispersive Equations, J. Diff. Equ., Vol. 78, 1989, pp. 122-135. | MR 986156 | Zbl 0699.35036
,[Sj] Regularity of Solutions to the Schrödinger Equation, Duke Math. J., Vol. 55, 1987, pp. 699-715. | MR 904948 | Zbl 0631.42010
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