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Analysis Seminar

Thursday, March 11, 2021
9:00am to 9:55am
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Orbital stability of KdV multisolitons in $H^{-1}$
Monica Visan, Department of Mathematics, UCLA,

We introduce a variational characterization of multisoliton solutions to the Korteweg-de Vries equation that is meaningful in $H^{-1}$, which is the space of optimal well-posedness for this
equation. As a consequence, we obtain orbital stability of multisoliton solutions in $H^{-1}$. This is joint work with Rowan Killip.

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