Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Keywords and Mathematics Subject Classification (MSC)
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Well-Posedness for the Dispersion-Generalized Benjamin-Ono Equation
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Abstract: In this talk we will consider the Cauchy problem for both low and high dispersive generalizations of the Benjamin-Ono equation. To address the nonlinear interactions, we use a pseudodifferential generalization of the gauge transform introduced by Tao, and combine this with a paradifferential normal form. This approach allows for a much simpler functional setting, and improves the known low regularity well-posedness threshold through the range of the dispersive generalization. This is joint work with Grace Liu.
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