Compactly Supported Solutions of the Camassa-Holm Equation
By David Henry. 2005
90 citations recorded by the source corpus.
Abstract We give a simple proof that for any non-zero initial data, the solution of the Camassa-Holm equation loses instantly the property of being compactly supported.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/88268f51d22f828c0369edd10f7b913a62c2125d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Lorenzo Brandolese
- Yong Zhou
- A. Alexandrou Himonas
- G. Misiołek
- Gustavo Ponce
- David Henry
- Carlos E. Kenig
- Lidiao Ni
In Statistical and Nonlinear Physics
- Yong Zhou
- Lorenzo Brandolese
- A. Alexandrou Himonas
- G. Misiołek
- Gustavo Ponce
- David Henry
- Carlos E. Kenig
- Yue Liu
Citations in the corpus
- Breakdown for the Camassa-Holm Equation Using Decay Criteria and Persistence in Weighted Spaces (2012, background): “4) we immediately recover the results on the unique continuation for the Camassa–Holm equation in [6], [18], [20]: for example our profiles (5.”
- Infinite propagation speed for a two component Camassa-Holm equation (2009, result): “These results have analogues in the case where � ≡ 0, which is simply the CH equation [10, 30 , 32].”
- Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation (2006, result): “In the recent works [Co], [ He ] and [Z] it was shown that u cannot preserve compact support in a non-trivial time interval (i.e.”