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Regularizing the KdV Equation near a Blow-Up Surface |
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| Authors: | Joshi N. |
| Affiliation: | (1) Department of Pure Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia |
| 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. |
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