The Cauchy problem for the Novikov equation

By Wei Yan, Yongsheng Li, Yimin Zhang. Nonlinear Differential Equations and Applications NoDEA, 2012

150 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/28f4080caf4a0808fe8b864200f55a008474c961

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

1. Zhaoyang Yin
2. Luc Molinet
3. Zihua Guo
4. John Holmes
5. A. Alexandrou Himonas
6. R. Thompson
7. Yue Liu
8. Didier Pilod

In Mathematical Physics

1. Luc Molinet
2. R. Thompson
3. G. Petronilho
4. Rafael F. Barostichi
5. Zhaoyang Yin
6. John Holmes
7. A. Alexandrou Himonas
8. Zihua Guo

In Statistical and Nonlinear Physics

1. R. Thompson
2. Luc Molinet
3. Zhaoyang Yin
4. John Holmes
5. G. Petronilho
6. A. Alexandrou Himonas
7. Rafael F. Barostichi
8. Zihua Guo

Citations in the corpus

• Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems (2016, background): “Multiplying by the inverse of (1 − ∂2x), we write the Cauchy problem for CH, DP, NE and FORQ equations in the following unified way ut = (1− ∂2x)−1P (u) .”
• Ill-posedness of the Camassa–Holm and related equations in the critical space (2018, background): “However, no explicit initial data was constructed in [18].”
• Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces (2016, methodology): “This was motivated by the works of Himonas and Holliman [14, 15, 16], Himonas and Kenig [17], Himonas, Kenig and Misio lek [18],”