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.
Funding
Research supported by the Austrian Science Fund (FWF) under Grant No. J3455
History
School
Science
Department
Mathematical Sciences
Published in
Archive for Rational Mechanics and Analysis
Volume
224
Issue
1
Pages
21 - 52
Citation
ECKHARDT, J., 2017. The inverse spectral transform for the conservative Camassa–Holm flow with decaying initial data. Archive for Rational Mechanics and Analysis, 224(1), pp. 21-52.
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/
Acceptance date
2016-11-14
Publication date
2016-11-25
Notes
This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/