Riccardo Montalto

Generating author description...

All published works

Action	Title	Year	Authors
+	Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map	2025	Giuseppe Genovese Renato Lucà Riccardo Montalto
+	Quadratic Lifespan for the Sublinear $$\alpha $$-SQG Sharp Front Problem	2024	Riccardo Montalto Federico Murgante Stefano Scrobogna
+	Large amplitude traveling waves for the non-resistive MHD system	2024	Gennaro Ciampa Riccardo Montalto Shulamit Terracina
+ PDF Chat	Large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids	2024	Roberta Bianchini Luca Franzoi Riccardo Montalto Shulamit Terracina
+ PDF Chat	Quadratic lifespan for the sublinear $\alpha$-SQG sharp front problem	2024	Riccardo Montalto Federico Murgante Stefano Scrobogna
+ PDF Chat	A KAM Approach to the Inviscid Limit for the 2D Navier–Stokes Equations	2024	Luca Franzoi Riccardo Montalto
+ PDF Chat	Large amplitude traveling waves for the non-resistive MHD system	2024	Gennaro Ciampa Riccardo Montalto Shulamit Terracina
+ PDF Chat	Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori	2024	Dario Bambusi Roberto Feola Riccardo Montalto
+	Time almost-periodic solutions of the incompressible Euler equations	2024	Luca Franzoi Riccardo Montalto
+	Space quasi-periodic steady Euler flows close to the inviscid Couette flow	2023	Luca Franzoi Nader Masmoudi Riccardo Montalto
+	Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map	2023	Giuseppe Genovese Renato Lucà Riccardo Montalto
+	Time almost-periodic solutions of the incompressible Euler equations	2023	Luca Franzoi Riccardo Montalto
+ PDF Chat	Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori	2022	Dario Bambusi Beatrice Langella Riccardo Montalto
+ PDF Chat	Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori	2022	Roberto Feola Riccardo Montalto
+	Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators	2022	Thomas Kappeler Riccardo Montalto
+	A KAM approach to the inviscid limit for the 2D Navier-Stokes equations	2022	Luca Franzoi Riccardo Montalto
+	Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori	2022	Dario Bambusi Roberto Feola Riccardo Montalto
+ PDF Chat	Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori	2021	Dario Bambusi Beatrice Langella Riccardo Montalto
+ PDF Chat	On the Stability of Periodic Multi-Solitons of the KdV Equation	2021	Thomas Kappeler Riccardo Montalto
+ PDF Chat	Quasi-periodic incompressible Euler flows in 3D	2021	Pietro Baldi Riccardo Montalto
+ PDF Chat	The Navier–Stokes Equation with Time Quasi-Periodic External Force: Existence and Stability of Quasi-Periodic Solutions	2021	Riccardo Montalto
+ PDF Chat	Large KAM Tori for Quasi-linear Perturbations of KdV	2021	Massimiliano Berti Thomas Kappeler Riccardo Montalto
+ PDF Chat	Linear Schrödinger Equation with an Almost Periodic Potential	2021	Riccardo Montalto Michela Procesi
+	Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators	2021	Thomas Kappeler Riccardo Montalto
+	Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori	2021	Roberto Feola Riccardo Montalto
+	Growth of Sobolev norms for unbounded perturbations of the Laplacian on flat tori	2020	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Novel stability results for periodic multi-solitons of the KdV equation	2020	Thomas Kappeler Riccardo Montalto
+	Schr\"odinger operators on flat tori: structure and spectral asymptotics	2020	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Spectral asymptotics of all the eigenvalues of Schr\"odinger operators on flat tori	2020	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Almost-periodic Response Solutions for a forced quasi-linear Airy equation	2020	Livia Corsi Riccardo Montalto Michela Procesi
+	The Navier-Stokes equation with time quasi-periodic external force: existence and stability of quasi-periodic solutions.	2020	Riccardo Montalto
+	Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves	2020	Massimiliano Berti Riccardo Montalto
+	Quasi-periodic incompressible Euler flows in 3D	2020	Pietro Baldi Riccardo Montalto
+	Corrigendum to ‘Reducibility of first order linear operators on tori via Moser's theorem’ [Journal of Functional Analysis 276 (3) (2019) 932–970]	2020	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi
+ PDF Chat	Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves	2020	Massimiliano Berti Riccardo Montalto
+	Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori	2020	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Almost-periodic Response Solutions for a forced quasi-linear Airy equation	2020	Livia Corsi Riccardo Montalto Michela Procesi
+	The Navier-Stokes equation with time quasi-periodic external force: existence and stability of quasi-periodic solutions	2020	Riccardo Montalto
+	Quasi-periodic incompressible Euler flows in 3D	2020	Pietro Baldi Riccardo Montalto
+	Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori	2020	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Linear Schr\"odinger equation with an almost periodic potential	2019	Riccardo Montalto Michela Procesi
+ PDF Chat	On the spectrum of the Schrödinger operator on 𝕋<sup>d</sup>: a normal form approach	2019	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Large KAM tori for quasi-linear perturbations of KdV	2019	Massimiliano Berti Thomas Kappeler Riccardo Montalto
+ PDF Chat	Normal Form Coordinates for the KdV Equation Having Expansions in Terms of Pseudodifferential Operators	2019	Thomas Kappeler Riccardo Montalto
+ PDF Chat	Reducibility of Non-Resonant Transport Equation on $${\mathbb {T}}^d$$ T d with Unbounded Perturbations	2019	Dario Bambusi Beatrice Langella Riccardo Montalto
+	On the spectrum of the Schrödinger operator on $\mathbb{T}^d$: a normal form approach	2019	Dario Bambusi Beatrice Langella Riccardo Montalto
+	Linear Schrödinger equation with an almost periodic potential	2019	Riccardo Montalto Michela Procesi
+	Large KAM tori for quasi-linear perturbations of KdV	2019	Massimiliano Berti Thomas Kappeler Riccardo Montalto
+ PDF Chat	Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III	2018	Dario Bambusi Riccardo Montalto
+	Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion	2018	Riccardo Montalto
+	Reducibility of first order linear operators on tori via Moser's theorem	2018	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi
+ PDF Chat	Quasi-periodic solutions for the forced Kirchhoff equation on $ \newcommand{\m}{\mu} \newcommand{\T}{\mathbb T} \T^d$	2018	Livia Corsi Riccardo Montalto
+ PDF Chat	Time quasi-periodic gravity water waves in finite depth	2018	Pietro Baldi Massimiliano Berti Emanuele Haus 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 time dependent periodic Schr\"odinger equations with sublinear dispersion	2018	Riccardo Montalto
+	Reducibility of first order linear operators on tori via Moser's theorem	2018	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi
+	Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion	2018	Riccardo Montalto
+	Reducibility of first order linear operators on tori via Moser's theorem	2018	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi
+	Controllability of quasi-linear Hamiltonian NLS equations	2017	Pietro Baldi Emanuele Haus 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
+ PDF Chat	A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$	2017	Riccardo Montalto
+	A reducibility result for a class of linear wave equations with unbounded perturbations on $\T^d$	2017	Riccardo Montalto
+	A reducibility result for a class of linear wave equations on $\mathbb{T}^d$	2017	Riccardo Montalto
+ PDF Chat	Quasi-periodic solutions of forced Kirchhoff equation	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
+	A reducibility result for a class of linear wave equations on $\mathbb{T}^d$	2017	Riccardo Montalto
+	Controllability of quasi-linear Hamiltonian NLS equations	2016	Pietro Baldi Emanuele Haus Riccardo Montalto
+ PDF Chat	Canonical Coordinates with Tame Estimates for the Defocusing NLS Equation on the Circle	2016	Thomas Kappeler Riccardo Montalto
+	Canonical coordinates with tame estimates for the defocusing NLS equation on the circle	2016	Thomas Kappeler Riccardo Montalto
+ PDF Chat	KAM for autonomous quasi-linear perturbations of mKdV	2016	Pietro Baldi Massimiliano Berti Riccardo Montalto
+	Large KAM tori for perturbations of the dNLS equation	2016	Massimiliano Berti Thomas Kappeler Riccardo Montalto
+	Quasi-periodic solutions of forced Kirchoff equation	2016	Riccardo Montalto
+	Large KAM tori for perturbations of the dNLS equation	2016	Massimiliano Berti Thomas Kappeler Riccardo Montalto
+	Quasi-periodic solutions of forced Kirchoff equation	2016	Riccardo Montalto
+	Quasi-periodic standing wave solutions of gravity-capillary water waves	2016	Massimiliano Berti Riccardo Montalto
+	Canonical coordinates with tame estimates for the defocusing NLS equation on the circle	2016	Thomas Kappeler Riccardo Montalto
+	Controllability of quasi-linear Hamiltonian NLS equations	2016	Pietro Baldi Emanuele Haus Riccardo Montalto
+	KAM for autonomous quasi-linear perturbations of KdV	2015	Riccardo Montalto Pietro Baldi Massimiliano Berti
+	KAM for autonomous quasi-linear perturbations of KdV	2014	Pietro Baldi Massimiliano Berti Riccardo Montalto
+ PDF Chat	A note on KAM theory for quasi-linear and fully nonlinear forced KdV	2013	Pietro Baldi Massimiliano Berti Riccardo Montalto
+	KAM for quasi-linear and fully nonlinear forced KdV	2012	Pietro Baldi Massimiliano Berti Riccardo Montalto

Common Coauthors

Coauthor	Papers Together
Dario Bambusi	13
Thomas Kappeler	13
Pietro Baldi	12
Beatrice Langella	10
Massimiliano Berti	9
Michela Procesi	9
Roberto Feola	8
Luca Franzoi	6
Massimiliano Berti	5
Filippo Giuliani	4
Emanuele Haus	4
Livia Corsi	3
Shulamit Terracina	3
Stefano Scrobogna	2
Renato Lucà	2
Federico Murgante	2
Gennaro Ciampa	2
Giuseppe Genovese	2
Nader Masmoudi	1
Roberta Bianchini	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	KAM for autonomous quasi-linear perturbations of KdV	2015	Riccardo Montalto Pietro Baldi Massimiliano Berti	29
+	Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations	2015	Roberto Feola Michela Procesi	28
+ PDF Chat	A KAM Theorem for Hamiltonian Partial Differential Equations with Unbounded Perturbations	2011	Jianjun Liu Xiaoping Yuan	21
+ PDF Chat	Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation	2017	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert	20
+ PDF Chat	Reducibility of 1-d Schrödinger Equation with Time Quasiperiodic Unbounded Perturbations, II	2017	Dario Bambusi	20
+	A KAM-theorem for equations of the Korteweg--de Vries type	1998	Sergej B. Kuksin	20
+ PDF Chat	Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves	2020	Massimiliano Berti Riccardo Montalto	19
+ PDF Chat	Time quasi-periodic gravity water waves in finite depth	2018	Pietro Baldi Massimiliano Berti Emanuele Haus Riccardo Montalto	17
+ PDF Chat	A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$	2017	Riccardo Montalto	16
+ PDF Chat	Periodic solutions of fully nonlinear autonomous equations of Benjamin–Ono type	2012	Pietro Baldi	16
+ PDF Chat	Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb T^d$ with a multiplicative potential	2012	Massimiliano Berti Philippe Bolle	15
+ PDF Chat	KAM for the nonlinear Schrödinger equation	2010	L. H. Eliasson Sergei Kuksin	15
+	Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum	1987	Sergei Kuksin	15
+	Reducibility of first order linear operators on tori via Moser's theorem	2018	Roberto Feola Filippo Giuliani Riccardo Montalto Michela Procesi	14
+ PDF Chat	An Abstract Nash–Moser Theorem and Quasi-Periodic Solutions for NLW and NLS on Compact Lie Groups and Homogeneous Manifolds	2014	Massimiliano Berti Livia Corsi Michela Procesi	13
+	Quasi-periodic solutions for quasi-linear generalized KdV equations	2017	Filippo Giuliani	12
+ PDF Chat	Gravity Capillary Standing Water Waves	2015	Thomas Alazard Pietro Baldi	12
+	Newton's method and periodic solutions of nonlinear wave equations	1993	Walter Craig C. Eugene Wayne	12
+ PDF Chat	Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential	2012	Massimiliano Berti Philippe Bolle	12
+ PDF Chat	Reducibility of Non-Resonant Transport Equation on $${\mathbb {T}}^d$$ T d with Unbounded Perturbations	2019	Dario Bambusi Beatrice Langella Riccardo Montalto	11
+	Invariant Cantor Manifolds of Quasi-Periodic Oscillations for a Nonlinear Schrodinger Equation	1996	Sergej B. Kuksin Jürgen Pöschel	11
+	Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I	2016	Dario Bambusi	10
+	KdV & KAM	2003	Thomas Kappeler Jürgen Pöschel	10
+	Green's Function Estimates for Lattice Schrödinger Operators and Applications.	2004	Jean Bourgain	10
+ PDF Chat	Growth of Sobolev norms for abstract linear Schrödinger equations	2020	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert	10
+ PDF Chat	KAM for autonomous quasi-linear perturbations of mKdV	2016	Pietro Baldi Massimiliano Berti Riccardo Montalto	10
+	On time dependent Schrödinger equations: Global well-posedness and growth of Sobolev norms	2017	Alberto Maspero D. Robert	10
+	KAM for quasi-linear forced hamiltonian NLS	2016	Roberto Feola	10
+ PDF Chat	KAM for Reversible Derivative Wave Equations	2014	Massimiliano Berti Luca Biasco Michela Procesi	10
+ PDF Chat	KAM for the nonlinear beam equation	2016	L. H. Eliasson Benoît Grébert Sergei Kuksin	9
+	Para-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems	2008	Guy Métivier	9
+ PDF Chat	KAM theory for the hamiltonian derivative wave equation	2013	Massimiliano Berti Luca Biasco Michela Procesi	9
+	KAM Tori for 1D Nonlinear Wave Equations¶with Periodic Boundary Conditions	2000	Luigi Chierchia Jiangong You	9
+	Periodic Integral and Pseudodifferential Equations with Numerical Approximation	2002	Jukka Saranen Gennadi Vainikko	9
+ PDF Chat	Quasi-periodic solutions of forced Kirchhoff equation	2017	Riccardo Montalto	9
+	Pseudodifferential Operators and Nonlinear PDE	1991	Michael E. Taylor	8
+	Growth of Sobolev norms for abstract linear Schr\"odinger Equations	2017	Dario Bambusi Benoît Grébert Alberto Maspero Didier Robert	8
+ PDF Chat	Time Quasi-Periodic Unbounded Perturbations¶of Schrödinger Operators and KAM Methods	2001	Dario Bambusi Sandro Graffi	8
+	Periodic solutions of nonlinear hyperbolic partial differential equations. II	1969	Paul H. Rabinowitz	8
+	KAM tori for reversible partial differential equations	2011	Jing Zhang Meina Gao Xiaoping Yuan	8
+	On growth of sobolev norms in linear schrödinger equations with smooth time dependent potential	1999	Jean Bourgain	8
+	None	1994	Jean Bourgain	8
+	Long time dynamics of Schrödinger and wave equations on flat tori	2019	Massimiliano Berti Alberto Maspero	8
+	A Nash-Moser Approach to KAM Theory	2015	Massimiliano Berti Philippe Bolle	8
+	Formation of singularities for wave equations including the nonlinear vibrating string	1980	Sergiù Klainerman Andrew J. Majda	7
+	A KAM algorithm for the resonant non-linear Schrödinger equation	2014	Claudio Procesi Michela Procesi	7
+	On reducibility of Quantum Harmonic Oscillator on $\mathbb{R}^d$ with quasiperiodic in time potential	2016	Éric Paturel Benoît Grébert	7
+	Growth of Sobolev Norms in Linear Schrödinger Equations with Quasi-Periodic Potential	1999	Jean Bourgain	7
+	A KAM-theorem for some nonlinear partial differential equations	1996	Jürgen Pöschel	7
+ PDF Chat	Anomalous Transport: A Mathematical Framework	1998	Hermann Schulz‐Baldes Jean Bellissard	6