Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case

Yu Deng

Type: Preprint

Publication Date: 2017-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.1702.05617

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On Growth of Sobolev Norms for Energy Critical NLS on Irrational Tori: Small Energy Case	2018	Yu Deng
+	Growth of solutions to NLS on irrational tori	2017	Yu Deng Pierre Germain
+	Strichartz estimates for Schrödinger equations on irrational tori	2013	Zihua Guo Tadahiro Oh Yuzhao Wang
+ PDF Chat	On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds	2017	Fabrice Planchon Nikolay Tzvetkov Nicola Visciglia
+ PDF Chat	Strichartz estimates for Schrödinger equations on irrational tori	2014	Zihua Guo Tadahiro Oh Yuzhao Wang
+	On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori	2023	Roberto Feola Jessica Elisa Massetti
+	Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori	2010	F. Catoire W. M. Wang
+ PDF Chat	Local wellposedness for the critical nonlinear Schrödinger equation on <inline-formula><tex-math id="M1">\begin{document}$ \mathbb{T}^3 $\end{document}</tex-math></inline-formula>	2019	Gyu Eun Lee
+	Sobolev norms explosion for the cubic NLS on irrational tori	2021	Filippo Giuliani Marcel Guàrdia
+	Bounds on Sobolev norms for the nonlinear Schrödinger equation on general tori	2008	F. Catoire W.-M. Wang
+ PDF Chat	Sobolev norms explosion for the cubic NLS on irrational tori	2022	Filippo Giuliani Marcel Guàrdia
+	Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations	2012	Zaher Hani
+	On the lifespan of solutions and control of High Sobolev norms for the completely resonant NLS on tori	2024	Roberto Feola Jessica Elisa Massetti
+	Strichartz estimates for the Schrodinger equation on irrational tori	2017	Yu Deng Pierre Germain Larry Guth
+	Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr\"odinger equations	2012	Zaher Hani
+ PDF Chat	Growth of Solutions to NLS on Irrational Tori	2017	Yu Deng Pierre Germain
+	Local Well-posedness for 2-D Schrodinger Equation on Irrational Tori and Bounds on Sobolev Norms	2013	Seckin Demirbas
+ PDF Chat	Scale-invariant Strichartz estimates on tori and applications	2016	Rowan Killip Monica Vişan
+ PDF Chat	Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms	2017	Seckin Demirbas
+	Strichartz estimates for the Schrödinger equation on irrational tori	2017	Yu Deng Pierre Germain Larry Guth

Works That Cite This (1)

Action	Title	Year	Authors
+	Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori	2018	Gigliola Staffilani Bobby Wilson

Works Cited by This (14)

Action	Title	Year	Authors
+	Nonlinear Dispersive Equations	2006	Terence Tao
+ PDF Chat	Scale-invariant Strichartz estimates on tori and applications	2016	Rowan Killip Monica Vişan
+ PDF Chat	Strichartz estimates for Schrödinger equations on irrational tori in two and three dimensions	2014	Nils Strunk
+ PDF Chat	Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$	2011	Vedran Sohinger
+	On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations	1997	Gigliola Staffilani
+ PDF Chat	BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS	2002	Sergiù Klainerman Sigmund Selberg
+ PDF Chat	Strichartz estimates for Schrödinger equations on irrational tori	2014	Zihua Guo Tadahiro Oh Yuzhao Wang
+	The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds	2008	Sijia Zhong
+ PDF Chat	A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms	2012	J. Colliander Soonsik Kwon Tadahiro Oh
+	None	1996	Jean Bourgain