Construction of solutions to the L2-critical KdV equation with a given asymptotic behaviour-Reference-Cited by-同舟云学术

Construction of solutions to the L2-critical KdV equation with a given asymptotic behaviour

Published:2007-06-15 Issue:3 Volume:138 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Côte Raphaël¹

Affiliation:

1. Département de mathématiques et applications, École normale supérieure

Publisher

Duke University Press

Subject

General Mathematics

Reference24 articles.

1. —, Asymptotic stability of solitons for subcritical generalized KdV equations, Arch. Ration. Mech. Anal. 157 (2001), 219--254.

2. Y. Martel, F. Merle, and T.-P. Tsai, Stability and asymptotic stability in the energy space of the sum of $N$ solitons for subcritical gKdV equations, Comm. Math. Phys. 231 (2002), 347--373.

3. J. Bourgain and W. Wang, Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997), 197--215.

4. M. I. Weinstein, Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys. 87 (1982/83), 567--576.

5. —, Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal. 16 (1985), 472--491.

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