most citedBlow up for the critical gKdV equation I: dynamics near the soliton

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math.AP2012★ 9 cited

Blow up for the critical gKdV equation I: dynamics near the soliton

Yvan Martel, Frank Merle, Pierre Raphael

We fully revisit the near soliton dynamics for the mass critical (gKdV) equation. In Part I, for a class of initial data close to the soliton, we prove that only three scenario can…