Edit Profile (opens in new tab) Green, William R. Compute Distance To: Compute Author ID: green.william-r Published as: Green, William R. External Links: MGP · ORCID Documents Indexed: 29 Publications since 2010 Co-Authors: 6 Co-Authors with 25 Joint Publications 72 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Erdoğan, Mehmet Burak 10 Goldberg, Michael Joseph 5 Toprak, Ebru 1 Carlisle, Sylvia 1 Ebru, Toprak 1 Hundertmark, Dirk all top 5 Serials 4 Journal of Differential Equations 3 Communications in Mathematical Physics 3 The College Mathematics Journal 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Journal of Spectral Theory 1 Letters in Mathematical Physics 1 American Journal of Mathematics 1 Illinois Journal of Mathematics 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Annales Henri Poincaré 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 26 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 7 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mathematics education (97-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 152 times in 60 Documents Cited by ▼ Year ▼ Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. Zbl 1282.35143Erdoğan, M. Burak; Green, William R. 23 2013 Dispersive estimates for the Schrödinger equation for \(C^{\frac{n-3}{2}}\) potentials in odd dimensions. Zbl 1200.35036Erdoğan, M. Burak; Green, William R. 13 2010 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 12 2014 A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053Erdoğan, M. Burak; Green, William R. 12 2013 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216Goldberg, Michael; Green, William R. 12 2015 The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301Erdoğan, M. Burak; Green, William R. 9 2017 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261Goldberg, Michael; Green, William R. 9 2017 Exponential decay of dispersion-managed solitons for general dispersion profiles. Zbl 1333.35261Green, William R.; Hundertmark, Dirk 8 2016 Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432Erdoğan, M. Burak; Green, William R.; Ebru, Toprak 7 2019 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 7 2019 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 6 2018 On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. Zbl 1429.35059Green, William R.; Toprak, Ebru 6 2019 Time decay estimates for the wave equation with potential in dimension two. Zbl 1297.35035Green, William R. 6 2014 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029Goldberg, Michael; Green, William R. 5 2016 Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 4 2018 Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294Erdoğan, M. Burak; Green, William R. 3 2013 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223Goldberg, Michael; Green, William R. 3 2017 Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. Zbl 1373.35266Green, William R. 2 2012 Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy. Zbl 1424.35288Green, William R.; Toprak, Ebru 2 2017 On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 2 2021 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 07481658Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 2 2021 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 07481658Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432Erdoğan, M. Burak; Green, William R.; Ebru, Toprak 7 2019 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 7 2019 On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. Zbl 1429.35059Green, William R.; Toprak, Ebru 6 2019 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 6 2018 Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 4 2018 The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301Erdoğan, M. Burak; Green, William R. 9 2017 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261Goldberg, Michael; Green, William R. 9 2017 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223Goldberg, Michael; Green, William R. 3 2017 Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy. Zbl 1424.35288Green, William R.; Toprak, Ebru 2 2017 Exponential decay of dispersion-managed solitons for general dispersion profiles. Zbl 1333.35261Green, William R.; Hundertmark, Dirk 8 2016 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029Goldberg, Michael; Green, William R. 5 2016 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216Goldberg, Michael; Green, William R. 12 2015 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 12 2014 Time decay estimates for the wave equation with potential in dimension two. Zbl 1297.35035Green, William R. 6 2014 Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. Zbl 1282.35143Erdoğan, M. Burak; Green, William R. 23 2013 A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053Erdoğan, M. Burak; Green, William R. 12 2013 Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294Erdoğan, M. Burak; Green, William R. 3 2013 Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. Zbl 1373.35266Green, William R. 2 2012 Dispersive estimates for the Schrödinger equation for \(C^{\frac{n-3}{2}}\) potentials in odd dimensions. Zbl 1200.35036Erdoğan, M. Burak; Green, William R. 13 2010 all cited Publications top 5 cited Publications all top 5 Cited by 71 Authors 17 Green, William R. 10 Erdoğan, Mehmet Burak 9 Goldberg, Michael Joseph 3 Kovařík, Hynek 3 Lee, Young-Ran 3 Toprak, Ebru 2 Boussaid, Nabile 2 Choi, Mi-Ran 2 Comech, Andrew 2 Feng, Hongliang 2 Gesztesy, Fritz 2 Hundertmark, Dirk 2 Kang, Younghoon 2 Komech, Alexander Ilich 2 Marzuola, Jeremy L. 2 Mizutani, Haruya 2 Nichols, Roger 2 Richard, Serge 2 Soffer, Avraham 2 Tiedra de Aldecoa, Rafael 2 Yajima, Kenji 2 Yao, Xiaohua 1 Adekoya, Oreoluwa 1 Albert, John P. 1 Beceanu, Marius 1 Ben-Artzi, Jonathan 1 Ben-Artzi, Matania 1 Borthwick, David 1 Bouclet, Jean-Marc 1 Burq, Nicolas 1 Cacciafesta, Federico 1 Cardoso, Fernando 1 Carey, Alan L. 1 Cornean, Horia D. 1 Cossetti, Lucrezia 1 Cuevas, Claudio 1 D’Ancona, Piero 1 de Suzzoni, Anne-Sophie 1 Deleaval, Luc 1 Drouot, Alexis 1 Fanelli, Luca 1 Fennell, James 1 Fukuizumi, Reika 1 Georgescu, Vladimir 1 Grillo, Gabriele 1 Jahnke, Tobias 1 Juárez-Campos, Beatriz 1 Kaad, Jens 1 Keeler, Blake 1 Kemppainen, Mikko 1 Kopylova, Elena A. 1 Krejčiřík, David 1 Kriegler, Christoph 1 Kunstmann, Peer Christian 1 Larenas, Manuel 1 Lee, Eunjung 1 Levitina, Galina Borisovna 1 Michelangeli, Alessandro 1 Mihalinčić, Krešo 1 Mikl, Marcel 1 Mohamed, Liban 1 Potapov, Denis 1 Schlag, Wilhelm 1 Schnaubelt, Roland 1 Schneider, Guido 1 Sukochev, Fedor Anatol’evich 1 Trapasso, Salvatore Ivan 1 Umeda, Tomio 1 Vodev, Georgi 1 Wu, Zhao 1 Zhang, Junyong all top 5 Cited in 33 Serials 9 Journal of Differential Equations 7 Communications in Mathematical Physics 4 Annales Henri Poincaré 3 Journal of Mathematical Physics 3 Journal of Functional Analysis 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Russian Mathematical Surveys 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Glasnik Matematički. Serija III 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Spectral Theory 1 Forum of Mathematics, Sigma 1 Annales Mathématiques du Québec 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 17 Fields 57 Partial differential equations (35-XX) 17 Operator theory (47-XX) 15 Quantum theory (81-XX) 8 Optics, electromagnetic theory (78-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year