Existence of blow-up solutions in the energy space for the critical generalized KdV equation

Merle, Frank¹

¹ Département de Mathématiques, Université de Cergy–Pontoise, 2, avenue Adolphe Chauvin, BP 222, 95302 Cergy–Pontoise, France

Journal of the American Mathematical Society, Tome 14 (2001) no. 3, pp. 555-578

Résumé

For the critical generalized Korteweg–de Vries equation, we establish blow-up in finite or infinite time in $H^1(\mathbf R)$ for initial data with negative energy, close to a soliton up to scaling and translation.

Détail

DOI : 10.1090/S0894-0347-01-00369-1

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