@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'Institut Henri Poincar\'e. C, Analyse non lin\'eaire},
pages = {783--797},
year = {2005},
publisher = {Elsevier},
volume = {22},
number = {6},
doi = {10.1016/j.anihpc.2004.12.004},
mrnumber = {2172859},
zbl = {1095.35039},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2004.12.004/}
}
TY - JOUR AU - Bona, Jerry L. AU - Grujić, Zoran AU - Kalisch, Henrik TI - Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation JO - Annales de l'Institut Henri Poincaré. C, Analyse non linéaire PY - 2005 SP - 783 EP - 797 VL - 22 IS - 6 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2004.12.004/ DO - 10.1016/j.anihpc.2004.12.004 LA - en ID - AIHPC_2005__22_6_783_0 ER -
%0 Journal Article %A Bona, Jerry L. %A Grujić, Zoran %A Kalisch, Henrik %T Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation %J Annales de l'Institut Henri Poincaré. C, Analyse non linéaire %D 2005 %P 783-797 %V 22 %N 6 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2004.12.004/ %R 10.1016/j.anihpc.2004.12.004 %G en %F 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'Institut Henri Poincaré. C, Analyse non linéaire, Tome 22 (2005) no. 6, pp. 783-797. doi: 10.1016/j.anihpc.2004.12.004
[1] , , , , Conservative high-order numerical schemes for the generalized Korteweg-de Vries equation, Philos. Trans. Roy. Soc. London Ser. A 351 (1995) 107-164. | Zbl | MR
[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. | Zbl | MR
[3] , , Spatial analyticity for nonlinear waves, Math. Models Methods Appl. Sci. 13 (2003) 1-15. | MR | Zbl
[4] , , Similarity solutions of the generalized Korteweg-de Vries equation, Math. Proc. Cambridge Philos. Soc. 127 (1999) 323-351. | Zbl | MR
[5] , , Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations, Indiana Univ. Math. J. 50 (2001) 759-782. | MR | Zbl
[6] , Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Geom. Funct. Anal. 3 (1993) 107-156, 209-262. | Zbl | MR | EuDML
[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. | Zbl | MR | Numdam | EuDML
[8] , , Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funct. Anal. 87 (1989) 359-369. | Zbl | MR
[9] , , , On the Cauchy problem for the Zakharov system, J. Funct. Anal. 151 (1997) 384-436. | Zbl | MR
[10] , , Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions, Differential Integral Equations 15 (2002) 1325-1334. | Zbl | MR
[11] , Analyticity of solutions of the Korteweg-de Vries equation, SIAM J. Math. Anal. 22 (1991) 1738-1743. | Zbl | MR
[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. | Zbl | MR
[13] , Quasilinear equations of evolution with applications to partial differential equations, in: Lecture Notes in Math., vol. 448, Springer-Verlag, 1975, pp. 25-70. | Zbl | MR
[14] , On the Korteweg-deVries equation, Manuscripta Math. 28 (1979) 89-99. | Zbl | MR
[15] , , Nonlinear evolution equations and analyticity I, Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986) 455-467. | Zbl | MR | Numdam
[16] , , Analyticity and smoothing effect for the Korteweg-de Vries equation with a single point singularity, Math. Ann. 316 (2000) 577-608. | Zbl | MR
[17] , , , Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991) 33-69. | Zbl | MR
[18] , , , On the Cauchy problem for the Korteweg-deVries equation in Sobolev spaces of negative indices, Duke Math. J. 71 (1993) 1-20. | Zbl | MR
[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. | Zbl | MR
[20] , On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations, Duke Math. J. 86 (1997) 109-142. | Zbl | MR
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