Journal of the American Mathematical Society

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

Author(s): Frank Merle
Journal: J. Amer. Math. Soc. 14 (2001), 555-578.
MSC (2000): Primary 35B35, 35Q53
Posted: March 20, 2001
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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.

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