The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data
arXiv:1510.04916 · doi:10.1007/s00205-016-1066-z
Abstract
We establish the inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data. In particular, it is employed to prove existence of weak solutions for the corresponding Cauchy problem.
27 pages
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Cited by in corpus (10)
- Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
- A view of the peakon world through the lens of approximation theory
- The Classical Moment Problem and Generalized Indefinite Strings
- The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation
- On the absolutely continuous spectrum of generalized indefinite strings
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- Trace formulas and inverse spectral theory for generalized indefinite strings
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- Generalized indefinite strings with purely discrete spectrum
- The conservative Camassa-Holm flow with step-like irregular initial data