Dana Mendelson

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All published works

Action	Title	Year	Authors
+	Construction of $L^2$ log-log blowup solutions for the mass critical nonlinear Schrödinger equation	2023	Chenjie Fan Dana Mendelson
+ PDF Chat	Poisson commuting energies for a system of infinitely many bosons	2022	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+ PDF Chat	An Eigensystem Approach to Anderson Localization for Multi-particle Systems	2021	Bjoern Bringmann Dana Mendelson
+ PDF Chat	Scattering for defocusing energy subcritical nonlinear wave equations	2020	Benjamin Dodson Andrew Lawrie Dana Mendelson Jason Murphy
+	An eigensystem approach to Anderson localization for multi-particle systems	2020	Bjoern Bringmann Dana Mendelson
+	Non-Uniqueness of Bubbling for Wave Maps	2020	Max Engelstein Dana Mendelson
+ PDF Chat	Non-Uniqueness of Bubbling for Wave Maps	2020	Max Engelstein Dana Mendelson
+ PDF Chat	A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation	2020	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+ PDF Chat	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2020	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Non-Uniqueness of Bubbling for Wave Maps	2020	Max Engelstein Dana Mendelson
+	Poisson Commuting Energies for a System of Infinitely Many Bosons	2019	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+	A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation	2019	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+ PDF Chat	The Focusing Energy-Critical Nonlinear Wave Equation With Random Initial Data	2019	Carlos E. Kenig Dana Mendelson
+	The focusing energy-critical nonlinear wave equation with random initial data	2019	Carlos E. Kenig Dana Mendelson
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation	2019	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation	2019	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+	The focusing energy-critical nonlinear wave equation with random initial data	2019	Carlos E. Kenig Dana Mendelson
+	Poisson Commuting Energies for a System of Infinitely Many Bosons	2019	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Matthew Rosenzweig Gigliola Staffilani
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schr\"odinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Probabilistic well-posedness for 2D nonlinear wave equations with $Q_{\alpha \beta}$ null forms	2017	Sagun Chanillo Magdalena Czubak Dana Mendelson Andrea R. Nahmod Gigliola Staffilani
+	Almost sure boundedness of iterates for derivative nonlinear wave equations	2017	Sagun Chanillo Magdalena Czubak Dana Mendelson Andrea R. Nahmod Gigliola Staffilani
+	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2017	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Almost sure boundedness of iterates for derivative nonlinear wave equations	2017	Sagun Chanillo Magdalena Czubak Dana Mendelson Andrea R. Nahmod Gigliola Staffilani
+	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2017	Benjamin Dodson Jonas Lührmann Dana Mendelson
+ PDF Chat	Symplectic non-squeezing for the cubic nonlinear Klein–Gordon equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">T</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2016	Dana Mendelson
+	An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on $\mathbb{R}$	2016	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Gigliola Staffilani
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2016	Jonas Lührmann Dana Mendelson
+	An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on $\mathbb{R}$	2016	Dana Mendelson Andrea R. Nahmod Nataša Pavlović Gigliola Staffilani
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2015	Jonas Lührmann Dana Mendelson
+	Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on $\mathbb{T}^3$	2014	Dana Mendelson
+	Nonsqueezing for the cubic nonlinear Klein-Gordon equation on $\mathbb{T}^3$	2014	Dana Mendelson
+	Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>	2014	Jonas Lührmann Dana Mendelson
+ PDF Chat	Rate of Convergence for Cardy’s Formula	2014	Dana Mendelson Asaf Nachmias Samuel S. Watson
+	Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on $\mathbb{T}^3$	2014	Dana Mendelson
+	Random data Cauchy theory for nonlinear wave equations of power-type on $\mathbb{R}^3$	2013	Jonas Lührmann Dana Mendelson
+	Rate of Convergence for Cardy's Formula	2012	Dana Mendelson Asaf Nachmias Samuel S. Watson
+	Rate of Convergence for Cardy's Formula	2012	Dana Mendelson Asaf Nachmias Samuel S. Watson

Common Coauthors

Coauthor	Papers Together
Andrea R. Nahmod	11
Gigliola Staffilani	11
Jonas Lührmann	10
Nataša Pavlović	8
Benjamin Dodson	7
Matthew Rosenzweig	6
Samuel S. Watson	3
Magdalena Czubak	3
Asaf Nachmias	3
Max Engelstein	3
Carlos E. Kenig	3
Sagun Chanillo	3
Bjoern Bringmann	2
Jason Murphy	1
Chenjie Fan	1
Andrew Lawrie	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	14
+ PDF Chat	Random data Cauchy theory for supercritical wave equations II: a global existence result	2008	Nicolas Burq Nikolay Tzvetkov	14
+ PDF Chat	Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)	2012	J. Colliander Tadahiro Oh	12
+	Random Data Cauchy Theory for the Generalized Incompressible Navier–Stokes Equations	2011	Ting Zhang Daoyuan Fang	12
+	Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space	2012	Anne-Sophie de Suzzoni	11
+	Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>	2014	Jonas Lührmann Dana Mendelson	11
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	10
+ PDF Chat	Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS	2015	Árpád Bényi Tadahiro Oh Oana Pocovnicu	9
+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge	9
+ PDF Chat	Periodic nonlinear Schrödinger equation and invariant measures	1994	Jean Bourgain	9
+	Invariant measures for the2D-defocusing nonlinear Schrödinger equation	1996	Jean Bourgain	9
+	Ill-posedness for nonlinear Schrodinger and wave equations	2003	Michael Christ J. Colliander Terence Tao	9
+ PDF Chat	Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations	2013	Andrea R. Nahmod Nataša Pavlović Gigliola Staffilani	9
+ PDF Chat	Two-dimensional nonlinear Schrödinger equation with random radial data	2012	Yu Deng	8
+ PDF Chat	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3	2015	Árpád Bényi Tadahiro Oh Oana Pocovnicu	8
+ PDF Chat	Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb R^d$, $d=4$ and $5$	2017	Oana Pocovnicu	8
+	Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Tadahiro Oh Oana Pocovnicu	7
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo	7
+ PDF Chat	Long time dynamics for the one dimensional non linear Schrödinger equation	2013	Nicolas Burq Laurent Thomann Nikolay Tzvetkov	7
+ PDF Chat	Probabilistic well-posedness for the cubic wave equation	2013	Nicolas Burq Nikolay Tzvetkov	7
+	Ill-posedness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-supercritical waves	2007	Slim Ibrahim Mohamed Majdoub Nader Masmoudi	7
+ PDF Chat	Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator	2014	Aurélien Poiret Didier Robert Laurent Thomann	6
+ PDF Chat	Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS	2012	Andrea R. Nahmod Tadahiro Oh Luc Rey-Bellet Gigliola Staffilani	6
+ PDF Chat	Perte de régularité pour les équations d’ondes sur-critiques	2005	Gilles Lebeau	6
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega	6
+	Solutions globales pour l'équation de Schrödinger cubique en dimension 3	2012	Aurélien Poiret	6
+	Nonlinear small data scattering for the wave and Klein-Gordon equation	1984	Hartmut Pecher	5
+ PDF Chat	Construction of a Gibbs measure associated to the periodic Benjamin–Ono equation	2009	Nikolay Tzvetkov	5
+	On global well-posedness for defocusing cubic wave equation	2006	Hajer Bahouri J.-Y. Chemin	5
+ PDF Chat	Random data Cauchy theory for supercritical wave equations I: local theory	2008	Nicolas Burq Nikolay Tzvetkov	5
+	Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball	2013	Jean Bourgain Aynur Bulut	5
+	None	2005	Jacob Sterbenz	5
+ PDF Chat	Derivation of nonlinear Gibbs measures from many-body quantum mechanics	2015	Mathieu Lewin Phan Thành Nam Nicolas Rougerie	5
+ PDF Chat	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF Chat	Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb{R}^{3}$	2009	Tristan Roy	5
+ PDF Chat	Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space	2015	Andrea R. Nahmod Gigliola Staffilani	5
+	Solutions globales pour des équations de Schrödinger sur-critiques en toutes dimensions	2012	Aurélien Poiret	5
+ PDF Chat	On global solutions to a defocusing semi-linear wave equation	2003	Isabelle Gallagher Fabrice Planchon	5
+ PDF Chat	Consequences of the choice of a particular basis of $L^2(S^3)$ for the cubic wave equation on the sphere and the Euclidean space	2013	Anne-Sophie de Suzzoni	4
+	Topological vector spaces and distributions	1966	Juan Horváth	4
+	Nonlinear Dispersive Equations	2006	Terence Tao	4
+ PDF Chat	Invariance of the White Noise for KdV	2009	Tadahiro Oh	4
+ PDF Chat	Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau	4
+ PDF Chat	Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3d case	2014	Jean Bourgain Aynur Bulut	4
+	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb R^d$, $d \geq 3$	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu	4
+ PDF Chat	Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations	2011	Andrea R. Nahmod Luc Rey-Bellet Scott Sheffield⋆ Gigliola Staffilani	4
+ PDF Chat	Almost sure local well-posedness for the supercritical quintic NLS	2018	Justin T. Brereton	4
+ PDF Chat	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2020	Benjamin Dodson Jonas Lührmann Dana Mendelson	4
+ PDF Chat	On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy	2008	Sergiù Klainerman Matei Machedon	3
+ PDF Chat	Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions	2014	Karl‐Hermann Neeb Hanno Sahlmann Thomas Thiemann	3