readcube_id
d6abcc4f28a0cfb0f441338a1846ea092113734bc67970961574a6e58fd67da8
10.1007/s00220-006-0172-4
doi
http://link.springer.com/10.1007%2Fs00220-006-0172-4
2019-04-11T14:26
It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.
2007-04-01
research_article
en
2007-04
511-522
articles
https://scigraph.springernature.com/explorer/license/
Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation
true
Gerard
Misiołek
2
University of Notre Dame
Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN, USA
Himonas
A. Alexandrou
Paediatrics and Reproductive Medicine
Yong
Zhou
Gustavo
Ponce
Springer Nature - SN SciGraph project
Communications in Mathematical Physics
0010-3616
1432-0916
dimensions_id
pub.1045067492
271
Medical and Health Sciences
University of California, Santa Barbara
Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA
Institute des Hautes Éudes Scientifiques, 35, route de Chartres, F-91440, Bures-sur-Yvette, France
East China Normal University
Department of Mathematics, East China Normal University, 200062, Shangai, China