Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation

By A. Alexandrou Himonas, G. Misiołek, Gustavo Ponce. 2007

59 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/78276c8037620df87c2ccf6a498f03767c23b3a4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Carlos E. Kenig
2. A. Alexandrou Himonas
3. G. Misiołek

In Mathematical Physics

1. A. Alexandrou Himonas
2. Carlos E. Kenig
3. G. Misiołek
4. Luc Molinet
5. Yong Zhou
6. Aynur Bulut
7. Gustavo Ponce
8. Raphael Cote

In Statistical and Nonlinear Physics

1. A. Alexandrou Himonas
2. Carlos E. Kenig
3. G. Misiołek
4. Yong Zhou
5. Luc Molinet
6. John Holmes
7. Lorenzo Brandolese
8. Gustavo Ponce

Citations in the corpus

• Non-Uniform Dependence for the Periodic CH Equation (2010, methodology): “We consider the periodic Cauchy problem for the Camassa–Holm equation (CH) and show that its solution map is not uniformly continuous for initial data in Sobolev spaces H s (𝕋) with s  > 3/2, thus extending to 3/2  s   12 ] for s  ≥ 2 and in [ 13 ] for s  = 1.”