@article{AIHPC_2005__22_6_783_0,
author = {Bona, Jerry L. and Gruji\'c, Zoran and Kalisch, Henrik},
title = {Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {22},
year = {2005},
pages = {783-797},
doi = {10.1016/j.anihpc.2004.12.004},
mrnumber = {2172859},
zbl = {1095.35039},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2005__22_6_783_0}
}
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik. Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) pp. 783-797. doi : 10.1016/j.anihpc.2004.12.004. http://gdmltest.u-ga.fr/item/AIHPC_2005__22_6_783_0/
[1] , , , , Conservative high-order numerical schemes for the generalized Korteweg-de Vries equation, Philos. Trans. Roy. Soc. London Ser. A 351 (1995) 107-164. | MR 1336983 | Zbl 0824.65095
[2] , , , , Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation, in: , , (Eds.), Contemp. Math., vol. 200, Amer. Math. Soc., Providence, RI, 1996, pp. 17-29. | MR 1410497 | Zbl 0860.35112
[3] , , Spatial analyticity for nonlinear waves, Math. Models Methods Appl. Sci. 13 (2003) 1-15. | MR 1977630 | Zbl 1137.35418 | Zbl 02084086
[4] , , Similarity solutions of the generalized Korteweg-de Vries equation, Math. Proc. Cambridge Philos. Soc. 127 (1999) 323-351. | MR 1705463 | Zbl 0939.35164
[5] , , Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations, Indiana Univ. Math. J. 50 (2001) 759-782. | MR 1871389 | Zbl 1330.35036 | Zbl 01780880
[6] , Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Geom. Funct. Anal. 3 (1993) 107-156, 209-262. | MR 1215780 | Zbl 0787.35097 | Zbl 0787.35098
[7] , , , Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1995) 673-715. | Numdam | MR 1360541 | Zbl 0843.35098
[8] , , Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funct. Anal. 87 (1989) 359-369. | MR 1026858 | Zbl 0702.35203
[9] , , , On the Cauchy problem for the Zakharov system, J. Funct. Anal. 151 (1997) 384-436. | MR 1491547 | Zbl 0894.35108
[10] , , Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions, Differential Integral Equations 15 (2002) 1325-1334. | MR 1920689 | Zbl 1031.35124
[11] , Analyticity of solutions of the Korteweg-de Vries equation, SIAM J. Math. Anal. 22 (1991) 1738-1743. | MR 1129407 | Zbl 0742.35056
[12] , Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and Szegö spaces on a sector, Duke Math. J. 62 (1991) 575-591. | MR 1104808 | Zbl 0729.35119
[13] , Quasilinear equations of evolution with applications to partial differential equations, in: Lecture Notes in Math., vol. 448, Springer-Verlag, 1975, pp. 25-70. | MR 407477 | Zbl 0315.35077
[14] , On the Korteweg-deVries equation, Manuscripta Math. 28 (1979) 89-99. | MR 535697 | Zbl 0415.35070
[15] , , Nonlinear evolution equations and analyticity I, Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986) 455-467. | Numdam | MR 870865 | Zbl 0622.35066
[16] , , Analyticity and smoothing effect for the Korteweg-de Vries equation with a single point singularity, Math. Ann. 316 (2000) 577-608. | MR 1752786 | Zbl 0956.35115
[17] , , , Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991) 33-69. | MR 1101221 | Zbl 0738.35022
[18] , , , On the Cauchy problem for the Korteweg-deVries equation in Sobolev spaces of negative indices, Duke Math. J. 71 (1993) 1-20. | MR 1230283 | Zbl 0787.35090
[19] , , Blow up in finite time and dynamics of blow up solutions for the -critical generalized KdV equation, J. Amer. Math. Soc. 15 (2002) 617-664. | MR 1896235 | Zbl 0996.35064
[20] , On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations, Duke Math. J. 86 (1997) 109-142. | MR 1427847 | Zbl 0874.35114