Abstract
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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Communicated by C. De Lellis
Research supported by the Austrian Science Fund (FWF) under Grant No. J3455.
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Eckhardt, J. The Inverse Spectral Transform for the Conservative Camassa–Holm Flow with Decaying Initial Data. Arch Rational Mech Anal 224, 21–52 (2017). https://doi.org/10.1007/s00205-016-1066-z
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DOI: https://doi.org/10.1007/s00205-016-1066-z