4.5 Article

The Inverse Spectral Transform for the Conservative Camassa-Holm Flow with Decaying Initial Data

Journal

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 224, Issue 1, Pages 21-52

Publisher

SPRINGER
DOI: 10.1007/s00205-016-1066-z

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Funding

  1. Austrian Science Fund (FWF) [J3455]
  2. Austrian Science Fund (FWF) [J3455] Funding Source: Austrian Science Fund (FWF)
  3. Austrian Science Fund (FWF) [J 3455] Funding Source: researchfish

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We establish the inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data. In particular, it is employed to prove the existence of weak solutions for the corresponding Cauchy problem.

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