Well-posedness Results for the Modified Zakharov-Kuznetsov Equation
By H. A. Biagioni, Felipe Linares. 2003
50 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5b715351807c430f896977437906fb0557e81c5d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- S. Kinoshita
- Sebastian Herr
- Axel Grunrock
- Felipe Linares
- Ademir Pastor
- Jean-Claude Saut
- Didier Pilod
- Luc Molinet
In Mathematical Physics
- S. Kinoshita
- Sebastian Herr
- Axel Grunrock
- Felipe Linares
- Ademir Pastor
- Jean-Claude Saut
- Didier Pilod
- Luc Molinet
In Statistical and Nonlinear Physics
- S. Kinoshita
- Sebastian Herr
- Axel Grunrock
- Ademir Pastor
- Felipe Linares
- Jean-Claude Saut
- Didier Pilod
- Jerry L. Bona
Citations in the corpus
- Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton (2010, background): “This framework cannot be (as for instance in [1, 5, 10, 11]) the classical Sobolev spaces H d since the KdV soliton or multi-soliton do not belong to this class of spaces.”
- The Fourier restriction norm method for the Zakharov-Kuznetsov equation (2013, background): “Without attempting to be complete we refer to the papers [23, 4, 2, 19, 5, 15, 17, 22, 16, 21] and references therein.”
- Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D (2019, methodology): “Regarding the modified Zakharov-Kuznetsov equation, in the 2 dimensional case, Biagioni and Linares [5] established the global well-posedness in H(R).”