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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.
Citation:
N. Joshi, “Regularizing the KdV Equation near a Blow-Up Surface”, TMF, 127:3 (2001), 394–400; Theoret. and Math. Phys., 127:3 (2001), 744–750
Linking options:
https://www.mathnet.ru/eng/tmf467https://doi.org/10.4213/tmf467 https://www.mathnet.ru/eng/tmf/v127/i3/p394
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