Edit Profile (opens in new tab) Dodson, Benjamin G. Co-Author Distance Author ID: 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 all top 5 Co-Authors 40 single-authored 5 Murphy, Jason 3 Lawrie, Andrew G. W. 3 Mendelson, Dana 2 Lührmann, Jonas 2 Marzuola, Jeremy Louis 2 Pausader, Benoît 2 Soffer, Avraham 2 Spirn, Daniel P. 1 Arora, Anudeep Kumar 1 Bulut, Aynur 1 Gavrus, Cristian 1 Gudapati, Nishanth 1 Miao, Changxing 1 Smith, Paul Anthony 1 Zheng, Jiqiang all top 5 Serials 4 IMRN. International Mathematics Research Notices 3 American Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 Analysis & PDE 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Annals of PDE 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Mathematical Research Letters 1 Annales Henri Poincaré 1 Communications on Pure and Applied Analysis 1 Cambridge Tracts in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Cambridge Journal of Mathematics all top 5 Fields 56 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 25 Fields 307 Partial differential equations (35-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 Operator theory (47-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Probability theory and stochastic processes (60-XX) 16 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year