The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Author:

Kenig Carlos E.,Ponce Gustavo,Vega Luis

Publisher

Duke University Press

Subject

General Mathematics

Reference11 articles.

1. [3] J. Ginibre and Y. Tsutsumi, Uniqueness of solutions for the generalized Korteweg-de Vries equation, SIAM J. Math. Anal. 20 (1989), no. 6, 1388–1425.

2. [1] J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, preprint.

3. [2] J. Bourgain, Korteweg-de Vries with $L^2$ data, preprint.

4. [4] T. Kappeler, Solutions to the Korteweg-de Vries equation with irregular initial profile, Comm. Partial Differential Equations 11 (1986), no. 9, 927–945.

5. [5] T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in Applied Mathematics, Adv. Math. Suppl. Stud., vol. 8, Academic Press, New York, 1983, pp. 93–128.

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