Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
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I will describe a one-parameter family of exact conservation laws for the Korteweg--de Vries equation. These permit us to obtain global uniform bounds on solutions for a wide range of Besov norms. In particular, we cover the cases $H^s$ for $-1\leq s < 3/4$. This is joint work with M Visan and X Zhang and treats the circle and line cases in an identical manner.
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