Comptes Rendus
no. 8
Partial differential equations
Remark on the semilinear ill-posedness for a periodic higher-order KP-I equation

Presented by: Haïm Brézis

Tristan Robert1
1 Université de Cergy-Pontoise, Laboratoire AGM, 2, av. Adolphe-Chauvin, 95302 Cergy-Pontoise cedex, France
Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 891-898.

We prove that, for some irrational torus, the flow map of the periodic fifth-order KP-I equation is not locally uniformly continuous on the energy space, even on the hyperplanes of fixed x-mean value.

On montre que, pour un tore irrationnel bien choisi, le flot pour l'équation KP-I d'ordre 5 périodique n'est pas localement uniformément continu sur l'espace d'énergie, même sur les hyperplans de données initiales à moyenne en x fixée.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2018.06.002

Tristan Robert 1

1 Université de Cergy-Pontoise, Laboratoire AGM, 2, av. Adolphe-Chauvin, 95302 Cergy-Pontoise cedex, France 
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Tristan Robert. Remark on the semilinear ill-posedness for a periodic higher-order KP-I equation. Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 891-898. doi : 10.1016/j.crma.2018.06.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.06.002/

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