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Existence of blow-up solutions in the energy space for the critical generalized KdV equation
Frank Merle
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Source: Crossref
Published: Mar 20, 2001
DOI: 10.1090/s0894-0347-01-00369-1
Open original source ↗Source abstract
For the critical generalized Korteweg–de Vries equation, we establish blow-up in finite or infinite time in H 1 ( R ) H^1(\mathbf R) for initial data with negative energy, close to a soliton up to scaling and translation.
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