Existence time for the Camassa-Holm equation and the critical Sobolev index

By Peter Byers. 2006

46 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/91123c45774f53b4b9aad5beed0a8ff804d8e3ed

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In Geometry and Topology

1. Zhaoyang Yin
2. Luc Molinet
3. Zihua Guo
4. Yue Liu
5. Lorenzo Brandolese
6. Yong Zhou

In Mathematical Physics

1. Zhaoyang Yin
2. Luc Molinet
3. Zihua Guo
4. Xingxing Liu
5. Yue Liu
6. Didier Pilod
7. Carlos E. Kenig
8. Giuseppe Maria Coclite

In Statistical and Nonlinear Physics

1. Zhaoyang Yin
2. Luc Molinet
3. Zihua Guo
4. Xingxing Liu
5. Yue Liu
6. Didier Pilod
7. Carlos E. Kenig
8. Giuseppe Maria Coclite

Citations in the corpus

• Ill-posedness of the Camassa–Holm and related equations in the critical space (2018, background): “The critical Sobolev space for well-posedness is H since CH is ill-posed in H for s < 3/2 in the sense of norm inflation (Byers [3]).”