Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle

Bradley Isom, Dionyssios Mantzavinos, Seungly Oh, Atanas Stefanov

Type: Article

Publication Date: 2021-06-23

Citations: 4

DOI: https://doi.org/10.1016/j.jde.2021.06.018

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Journal of Differential Equations - View - PDF
arXiv (Cornell University) - View - PDF

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Works Cited by This (50)

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+	Sufficient and Necessary Conditions for the fractional Gagliardo-Nirenberg Inequalities and applications to Navier-Stokes and generalized boson equations	2010	Hichem Hajaiej Luc Molinet Tohru Ozawa Baoxiang Wang
+ PDF Chat	On the global well-posedness of the Benjamin-Ono equation	1991	Gustavo Ponce
+	Nonlinear Dispersive Equations	2006	Terence Tao
+ PDF Chat	Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations	2001	H. A. Biagioni Felipe Linares
+ PDF Chat	Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$	2011	Vedran Sohinger
+	On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝD	1997	Jean Bourgain
+	Benjamin—Ono-related equations and their solutions	1979	K. M. Case
+	The hierarchy of the Benjamin-Ono equation	1981	A. S. Fokas Benno Fuchssteiner
+ PDF Chat	Global well-posedness in the energy space for the Benjamin–Ono equation on the circle	2006	Luc Molinet
+	On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations	1997	Gigliola Staffilani