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Existence of blow-up solutions in the energy space for the critical generalized KdV equation |
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| Authors: | Frank Merle |
| Institution: | Département de Mathématiques, Université de Cergy--Pontoise, 2, avenue Adolphe Chauvin, BP 222, 95302 Cergy--Pontoise, France |
| Abstract: | For the critical generalized Korteweg-de Vries equation, we establish blow-up in finite or infinite time in |
| Keywords: | Blow-up critical KdV |
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for initial data with negative energy, close to a soliton up to scaling and translation.