Well-posedness and persistence properties for the Novikov equation

By Lidiao Ni, Yong Zhou. 2011

158 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7587e557636f2c222ae55250b2172a7076fb876f

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In Mathematical Physics

1. Yongsheng Li
2. Yimin Zhang
3. Wei Yan
4. R. Thompson
5. John Holmes

In Statistical and Nonlinear Physics

1. Yongsheng Li
2. Yimin Zhang
3. Wei Yan
4. R. Thompson
5. John Holmes

Citations in the corpus

• Global existence and blow-up phenomena for the weakly dissipative Novikov equation (2012, methodology): “It has been shown that the Cauchy problem for the Novikov equation is locally well-posed in the Besov spaces B 2,r and in Sobolev spacesH s(R)with s > 3/2 andpossesses the persistence properties [4].”
• The Cauchy problem for the integrable Novikov equation (2012, background): “All rights reserved. http://dx.doi.org/10.1016/j.jde.2012.03.015 and nonhomogeneous Besov spaces as well as Kato’s theory [11], Ni and Zhou [12] proved that the Cauchy problem for the Novikov equation is locally well-posed in the Besov spaces B3/22,1 and in the Sobolev spaces Hs(R) with s > 3/2 and ”
• The Cauchy problem for the Novikov equation (2012, methodology): “Combining the result of Ni and Zhou [13] with Theorem 3.1, we know that s = 3/2 is the critical well-posedness indices for the Novikov equation in the Sobolev space Hs( ).”