9-13 June 2013
Koper, Slovenia
UTC timezone
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Peakon asymptotics for the dispersionless Camassa-Holm equation

Presented by Prof. Gerald TESCHL
Type: Oral presentation
Track: Plenary Talk

Content

We discuss direct and inverse spectral theory for the isospectral problem of the dispersionless Camassa-Holm equation, where the weight is allowed to be a finite signed measure. In particular, we prove that this weight is uniquely determined by the spectral data and solve the inverse spectral problem for the class of measures which are sign definite. The results are applied to deduce several facts for the dispersionless Camassa-Holm equation. In particular, we show that initial conditions with integrable momentum asymptotically split into a sum of peakons as conjectured by McKean.

Place

Location: Koper, Slovenia

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