Estimates  for solutions of KDV on the phase space ofperiodic distributions  in terms of action variables

Evgeny L. Korotyaev

doi:10.3934/dcds.2011.30.219

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2011, Volume 30, Issue 1: 219-225. Doi: 10.3934/dcds.2011.30.219

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Estimates for solutions of KDV on the phase space of periodic distributions in terms of action variables

Evgeny L. Korotyaev^1,

1.
St. Petersburg State Univ.

Received: December 2009

Revised: June 2010

Published: January 2011

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Abstract

We consider the KdV equation on the Sobolev space of periodic distributions. We obtain estimates of the solution of the KdV in terms of action variables.

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Mathematics Subject Classification: Primary: 37K05; Secondary: 35Q53, 37K10.

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References

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