Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion

Riccardo Montalto

Type: Article

Publication Date: 2018-10-24

Citations: 11

DOI: https://doi.org/10.1016/j.jde.2018.10.017

View Publication

Locations

Journal of Differential Equations - View
arXiv (Cornell University) - View - PDF
Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion	2018	Riccardo Montalto
+	Growth of Sobolev norms for time dependent periodic Schr\"odinger equations with sublinear dispersion	2018	Riccardo Montalto
+	On the growth of Sobolev norms for a class of linear Schr\"odinger equations on the torus with superlinear dispersion	2017	Riccardo Montalto
+	On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion	2017	Riccardo Montalto
+ PDF Chat	On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion	2018	Riccardo Montalto
+	Growth of Sobolev norms for abstract linear Schr\"odinger Equations	2017	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert
+	Growth of Sobolev norms for abstract linear Schrödinger Equations	2017	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert
+	Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon	2021	Alberto Maspero
+ PDF Chat	Growth of Sobolev Norms for Solutions of Time Dependent Schrödinger Operators with Harmonic Oscillator Potential	2013	Jean-Marc Delort
+ PDF Chat	Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon	2022	Alberto Maspero
+ PDF Chat	Growth of Sobolev norms for abstract linear Schrödinger equations	2020	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert
+ PDF Chat	Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb T^d$ with a multiplicative potential	2012	Massimiliano Berti Philippe Bolle
+ PDF Chat	Quasi-Periodic Solutions of Nonlinear Wave Equations on the $d$-Dimensional Torus	2020	Massimiliano Berti Philippe Bolle
+	On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori	2023	Roberto Feola Jessica Elisa Massetti
+	Lower bounds on the growth of Sobolev norms in some linear time dependent Schrödinger equations	2018	Alberto Maspero
+	Lower bounds on the growth of Sobolev norms in some linear time dependent Schr\"odinger equations	2018	Alberto Maspero
+	Long time dynamics of Schr\"odinger and wave equations on flat tori	2018	Massimiliano Berti Alberto Maspero
+	On the lifespan of solutions and control of High Sobolev norms for the completely resonant NLS on tori	2024	Roberto Feola Jessica Elisa Massetti
+	Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential	2010	Massimiliano Berti Philippe Bolle
+ PDF Chat	On the growth of high Sobolev norms for certain one-dimensional Hamiltonian PDEs	2015	Joseph Thirouin

Works That Cite This (11)

Action	Title	Year	Authors
+	Reducibility of first order linear operators on tori via Moser's theorem	2018	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi
+ PDF Chat	Differential equations of quantum mechanics	2022	Israel Michael Sigal
+	Linear Schr\"odinger equation with an almost periodic potential	2019	Riccardo Montalto Michela Procesi
+ PDF Chat	Reducibility of relativistic Schrödinger equation with unbounded perturbations	2021	Yingte Sun Jing Li
+ PDF Chat	Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon	2022	Alberto Maspero
+ PDF Chat	Reducibility for a linear wave equation with Sobolev smooth fast-driven potential	2023	Luca Franzoi
+ PDF Chat	Reducibility of Non-Resonant Transport Equation on $${\mathbb {T}}^d$$ T d with Unbounded Perturbations	2019	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Reducibility of relativistic Schrödinger equation with unbounded perturbations	2020	Yingte Sun Jing Li
+	Almost Reducibility and Growth of Sobolev Norms of 1$-$D Quantum Harmonic Oscillator with Polynomial Time Quasi$-$Periodic Perturbations	2024	Yue Mi
+ PDF Chat	The stability of Sobolev norms for the linear wave equation with unbounded perturbations	2023	Yingte Sun

Works Cited by This (20)

Action	Title	Year	Authors
+	KAM for autonomous quasi-linear perturbations of KdV	2015	Riccardo Montalto Pietro Baldi Massimiliano Berti
+	Growth of Sobolev Norms in Linear Schrödinger Equations with Quasi-Periodic Potential	1999	Jean Bourgain
+ PDF Chat	Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds	2009	Jean-Marc Delort
+ PDF Chat	Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations	2008	W.-M. Wang
+	Periodic Integral and Pseudodifferential Equations with Numerical Approximation	2002	Jukka Saranen Gennadi Vainikko
+	KAM for quasi-linear forced hamiltonian NLS	2016	Roberto Feola
+	On reducibility of Quantum Harmonic Oscillator on $\mathbb{R}^d$ with quasiperiodic in time potential	2016	Éric Paturel Benoît Grébert
+	On growth of sobolev norms in linear schrödinger equations with smooth time dependent potential	1999	Jean Bourgain
+	On time dependent Schrödinger equations: Global well-posedness and growth of Sobolev norms	2017	Alberto Maspero D. Robert
+ PDF Chat	A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$	2017	Riccardo Montalto