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Dodson, Benjamin G.

Author ID: dodson.benjamin-g Recent zbMATH articles by "Dodson, Benjamin G."
Published as: Dodson, Benjamin; Dodson, Benjamin G.
Homepage: http://mathematics.jhu.edu/directory/benjamin-dodson/
External Links: MGP · ResearchGate
Documents Indexed: 57 Publications since 2009, including 1 Book and 15 Additional arXiv Preprints
Co-Authors: 15 Co-Authors with 17 Joint Publications
338 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 644 times in 310 Documents Cited by Year
Global well-posedness and scattering for the defocusing, \(L^2\)-critical nonlinear Schrödinger equation when \(d \geq 3\). Zbl 1236.35163
Dodson, Benjamin
90
2012
Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\). Zbl 1361.35164
Dodson, Benjamin
74
2016
Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state. Zbl 1331.35316
Dodson, Benjamin
69
2015
Global well-posedness and scattering for the defocusing, \(L^{2}\)-critical, nonlinear Schrödinger equation when \(d = 1\). Zbl 1341.35149
Dodson, Benjamin
63
2016
A new proof of scattering below the ground state for the 3D radial focusing cubic NLS. Zbl 1373.35287
Dodson, Benjamin; Murphy, Jason
62
2017
Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation. Zbl 1428.35503
Dodson, Benjamin; Lührmann, Jonas; Mendelson, Dana
30
2019
A new proof of scattering below the ground state for the non-radial focusing NLS. Zbl 1420.35351
Dodson, Benjamin; Murphy, Jason
26
2018
Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data. Zbl 1440.35217
Dodson, Benjamin; Lührmann, Jonas; Mendelson, Dana
21
2020
Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension \(d = 4\). Zbl 1421.35333
Dodson, Benjamin
20
2019
Scattering for the radial 3D cubic wave equation. Zbl 1329.35206
Dodson, Benjamin; Lawrie, Andrew
19
2015
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm. Zbl 1336.35243
Dodson, Benjamin; Lawrie, Andrew
17
2015
The defocusing quintic NLS in four space dimensions. Zbl 1367.35154
Dodson, Benjamin; Miao, Changxing; Murphy, Jason; Zheng, Jiqiang
17
2017
Scattering below the ground state for the \(2d\) radial nonlinear Schrödinger equation. Zbl 1435.35341
Arora, Anudeep Kumar; Dodson, Benjamin; Murphy, Jason
15
2020
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263
Dodson, Benjamin
12
2017
Defocusing nonlinear Schrödinger equations. Zbl 1458.35002
Dodson, Benjamin
12
2019
Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when \(n = 3\) via a linear-nonlinear decomposition. Zbl 1277.35316
Dodson, Benjamin
10
2013
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data. Zbl 1421.35219
Dodson, Benjamin
9
2018
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space. Zbl 1403.35145
Dodson, Benjamin
9
2019
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
8
2021
The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
8
2020
A controlling norm for energy-critical Schrödinger maps. Zbl 1328.35210
Dodson, Benjamin; Smith, Paul
7
2015
A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472
Dodson, Benjamin
7
2023
Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when \(d = 2,3\) and \(u_0\) is radial. Zbl 1428.35502
Dodson, Benjamin
6
2019
Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290
Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason
6
2020
Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation. Zbl 1252.35249
Dodson, Benjamin
5
2011
Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension for low regularity data. Zbl 1234.35244
Dodson, Benjamin G.
5
2012
The profile decomposition for the hyperbolic Schrödinger equation. Zbl 1412.35305
Dodson, Benjamin; Marzuola, Jeremy L.; Pausader, Benoit; Spirn, Daniel P.
4
2018
Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space. Zbl 1479.35549
Dodson, Benjamin
4
2021
Global well-posedness for the logarithmically energy-supercritical nonlinear wave equation with partial symmetry. Zbl 1473.35362
Bulut, Aynur; Dodson, Benjamin
3
2021
The \(L^2\) sequential convergence of a solution to the one-dimensional, mass-critical NLS above the ground state. Zbl 1479.35778
Dodson, Benjamin
3
2021
On scattering for small data of \(2 + 1\)-dimensional equivariant Einstein-wave map system. Zbl 1409.83041
Dodson, Benjamin; Gudapati, Nishanth
2
2017
Global well-posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial data in \(\dot{H}^s \times \dot{H}^{s - 1}\), \(s> \frac{1}{2}\). Zbl 1428.35224
Dodson, Benjamin
1
2019
A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472
Dodson, Benjamin
7
2023
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
8
2021
Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space. Zbl 1479.35549
Dodson, Benjamin
4
2021
Global well-posedness for the logarithmically energy-supercritical nonlinear wave equation with partial symmetry. Zbl 1473.35362
Bulut, Aynur; Dodson, Benjamin
3
2021
The \(L^2\) sequential convergence of a solution to the one-dimensional, mass-critical NLS above the ground state. Zbl 1479.35778
Dodson, Benjamin
3
2021
Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data. Zbl 1440.35217
Dodson, Benjamin; Lührmann, Jonas; Mendelson, Dana
21
2020
Scattering below the ground state for the \(2d\) radial nonlinear Schrödinger equation. Zbl 1435.35341
Arora, Anudeep Kumar; Dodson, Benjamin; Murphy, Jason
15
2020
The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
8
2020
Scattering for defocusing energy subcritical nonlinear wave equations. Zbl 1459.35290
Dodson, Benjamin; Lawrie, Andrew; Mendelson, Dana; Murphy, Jason
6
2020
Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation. Zbl 1428.35503
Dodson, Benjamin; Lührmann, Jonas; Mendelson, Dana
30
2019
Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension \(d = 4\). Zbl 1421.35333
Dodson, Benjamin
20
2019
Defocusing nonlinear Schrödinger equations. Zbl 1458.35002
Dodson, Benjamin
12
2019
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space. Zbl 1403.35145
Dodson, Benjamin
9
2019
Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when \(d = 2,3\) and \(u_0\) is radial. Zbl 1428.35502
Dodson, Benjamin
6
2019
Global well-posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial data in \(\dot{H}^s \times \dot{H}^{s - 1}\), \(s> \frac{1}{2}\). Zbl 1428.35224
Dodson, Benjamin
1
2019
A new proof of scattering below the ground state for the non-radial focusing NLS. Zbl 1420.35351
Dodson, Benjamin; Murphy, Jason
26
2018
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data. Zbl 1421.35219
Dodson, Benjamin
9
2018
The profile decomposition for the hyperbolic Schrödinger equation. Zbl 1412.35305
Dodson, Benjamin; Marzuola, Jeremy L.; Pausader, Benoit; Spirn, Daniel P.
4
2018
A new proof of scattering below the ground state for the 3D radial focusing cubic NLS. Zbl 1373.35287
Dodson, Benjamin; Murphy, Jason
62
2017
The defocusing quintic NLS in four space dimensions. Zbl 1367.35154
Dodson, Benjamin; Miao, Changxing; Murphy, Jason; Zheng, Jiqiang
17
2017
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263
Dodson, Benjamin
12
2017
On scattering for small data of \(2 + 1\)-dimensional equivariant Einstein-wave map system. Zbl 1409.83041
Dodson, Benjamin; Gudapati, Nishanth
2
2017
Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\). Zbl 1361.35164
Dodson, Benjamin
74
2016
Global well-posedness and scattering for the defocusing, \(L^{2}\)-critical, nonlinear Schrödinger equation when \(d = 1\). Zbl 1341.35149
Dodson, Benjamin
63
2016
Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state. Zbl 1331.35316
Dodson, Benjamin
69
2015
Scattering for the radial 3D cubic wave equation. Zbl 1329.35206
Dodson, Benjamin; Lawrie, Andrew
19
2015
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm. Zbl 1336.35243
Dodson, Benjamin; Lawrie, Andrew
17
2015
A controlling norm for energy-critical Schrödinger maps. Zbl 1328.35210
Dodson, Benjamin; Smith, Paul
7
2015
Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when \(n = 3\) via a linear-nonlinear decomposition. Zbl 1277.35316
Dodson, Benjamin
10
2013
Global well-posedness and scattering for the defocusing, \(L^2\)-critical nonlinear Schrödinger equation when \(d \geq 3\). Zbl 1236.35163
Dodson, Benjamin
90
2012
Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension for low regularity data. Zbl 1234.35244
Dodson, Benjamin G.
5
2012
Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation. Zbl 1252.35249
Dodson, Benjamin
5
2011
all top 5

Cited by 262 Authors

18 Dodson, Benjamin G.
16 Murphy, Jason
16 Zheng, Jiqiang
15 Dinh, Van Duong
14 Miao, Changxing
12 Saanouni, Tarek
11 Zhao, Zehua
8 Cheng, Xing
7 Killip, Rowan
7 Meng, Fanfei
7 Visan, Monica
7 Xu, Chengbin
7 Zhang, Deng
6 Donninger, Roland
6 Fan, Chenjie
6 Guo, Zihua
6 Masaki, Satoshi
6 Roudenko, Svetlana
6 Shen, Ruipeng
6 Yang, Kai
6 Yu, Xueying
6 Yue, Haitian
6 Zhao, Tengfei
5 Duyckaerts, Thomas
5 Ikeda, Masahiro
5 Lu, Jing
5 Oh, Tadahiro
5 Pocovnicu, Oana
5 Tzvetkov, Nikolay
5 Xu, Guixiang
5 Zhao, Lifeng
4 Arora, Anudeep Kumar
4 Bringmann, Björn
4 Campos, Luccas
4 Gao, Yanfang
4 Guzmán, Carlos M.
4 Hamano, Masaru
4 Inui, Takahisa
4 Kenig, Carlos Eduardo
4 Lawrie, Andrew G. W.
4 Raphael, Pierre
4 Shen, Jia
4 Soffer, Avraham
4 Staffilani, Gigliola
4 Su, Yiming
4 Visciglia, Nicola
4 Xu, Weijun
4 Yang, Kailong
4 Zhang, Shuai
3 Candy, Timothy
3 Farah, Luiz Gustavo
3 Ghanmi, Radhia
3 Glogić, Irfan
3 Hani, Zaher
3 Herr, Sebastian
3 Hwang, Gyeongha
3 Keraani, Sahbi
3 Lenzmann, Enno
3 Li, Ze
3 Lührmann, Jonas
3 Martel, Yvan
3 Merle, Frank
3 Röckner, Michael
3 Schörkhuber, Birgit
3 Segata, Jun-ichi
3 Spitz, Martin
3 Wang, Zhiyong
3 Yang, Jianwei
3 Zhang, Xiaoyi
2 Hernandez Ardila, Alex
2 Beceanu, Marius
2 Bényi, Árpád
2 Burq, Nicolas
2 Camps, Nicolas
2 Cardoso, Mykael
2 Carles, Rémi
2 Chatzikaleas, Athanasios
2 Chen, Mingjuan
2 Darwich, Mohamad
2 Deng, Mingming
2 Deng, Qingquan
2 Deng, Yu
2 Feng, Binhua
2 Forcella, Luigi
2 Georgiev, Vladimir S.
2 Gerard, Patrick
2 Jao, Casey
2 Jayanti, Pranava Chaitanya
2 Kim, Kihyun
2 Klaus, Friedrich
2 Krieger, Joachim
2 Kwon, Soonsik
2 Luo, Yongming
2 Majdoub, Mohamed
2 Nakanishi, Kenji
2 Naumkin, Ivan P.
2 Noguera, Norman
2 Oh, Sung-Jin
2 Okamoto, Mamoru
2 Pastor, Ademir
...and 162 more Authors
all top 5

Cited in 89 Serials

21 Journal of Differential Equations
16 SIAM Journal on Mathematical Analysis
15 Journal of Mathematical Physics
13 Discrete and Continuous Dynamical Systems
12 Communications in Mathematical Physics
12 Journal of Mathematical Analysis and Applications
12 Proceedings of the American Mathematical Society
11 Communications in Partial Differential Equations
10 Communications on Pure and Applied Analysis
10 Analysis & PDE
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Advances in Mathematics
7 Journal of Functional Analysis
6 Mathematical Methods in the Applied Sciences
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Calculus of Variations and Partial Differential Equations
5 Archive for Rational Mechanics and Analysis
5 Nonlinearity
5 Transactions of the American Mathematical Society
5 Revista Matemática Iberoamericana
5 Annals of PDE
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 American Journal of Mathematics
4 NoDEA. Nonlinear Differential Equations and Applications
4 Communications in Contemporary Mathematics
4 Journal of Evolution Equations
4 Journal of Hyperbolic Differential Equations
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Communications on Pure and Applied Mathematics
3 Acta Mathematica Sinica. English Series
3 Discrete and Continuous Dynamical Systems. Series S
2 Applicable Analysis
2 Duke Mathematical Journal
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Physica D
2 Probability Theory and Related Fields
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Potential Analysis
2 Journal of Mathematical Fluid Mechanics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Science China. Mathematics
2 Forum of Mathematics, Pi
2 SN Partial Differential Equations and Applications
1 General Relativity and Gravitation
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 The Annals of Applied Probability
1 Geometric and Functional Analysis. GAFA
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Nonlinear Analysis. Real World Applications
1 Portugaliae Mathematica. Nova Série
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Journal of Function Spaces and Applications
1 Boundary Value Problems
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Communications in Computational Physics
1 Kyoto Journal of Mathematics
1 Annals of Functional Analysis
1 Forum of Mathematics, Sigma
1 Séminaire Laurent Schwartz. EDP et Applications
1 Transactions of the American Mathematical Society. Series B
1 Mathematics in Engineering
1 Tunisian Journal of Mathematics
1 Mathematics in Applied Sciences and Engineering
1 European Mathematical Society Magazine

Citations by Year