Regularizing the KdV Equation near a Blow-Up Surface

N. Joshi

University of Adelaide

Abstract: We propose a method for regularizing the Korteweg–de Vries equation near, rather than on, a blow-up surface. This allows showing that for sufficiently small initial data at $x=0$, a blow-up surface exists nearby and is an analytic manifold.

DOI: 10.4213/tmf467

 English version: Theoretical and Mathematical Physics, 2001, 127:3, 744–750

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