Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle.

Bradley Isom, Dionyssios Mantzavinos, Seungly Oh, Atanas Stefanov

Type: Preprint

Publication Date: 2020-01-19

Citations: 4

Locations

arXiv (Cornell University) - View

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+ PDF Chat	A nonlinear Fourier transform for the Benjamin–Ono equation on the torus and applications	2020	Patrick Gérard
+	On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus	2021	Patrick Gérard Thomas Kappeler Peter Topalov
+	Sharp well-posedness results of the Benjamin-Ono equation in $H^{s}(\mathbb{T},\mathbb{R})$ and qualitative properties of its solution	2020	Patrick Gérard Thomas Kappeler Peter Topalov
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Works Cited by This (37)

Action	Title	Year	Authors
+	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
+	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
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao