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Analytic extensions of frequencies of integrable PDEs and applications

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Kappeler, Thomas

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Analytic extensions of frequencies of integrable PDEs and applications
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3
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23
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
In form of a case study for the mKdV and the KdV2 equation we discuss a novel approach of representing frequencies of integrable PDEs which allows to extend them analytically to spaces of low regularity and to study their asymptotics. Applications include properties of the actions to frequencies map as well as wellposedness results in spaces of low regularity.