## Green, William R.

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1282.35143
Erdoğan, M. Burak; Green, William R.
2013
Dispersive estimates for the Schrödinger equation for $$C^{\frac{n-3}{2}}$$ potentials in odd dimensions. Zbl 1200.35036
Erdoğan, M. Burak; Green, William R.
2010
Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2014
A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053
Erdoğan, M. Burak; Green, William R.
2013
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216
Goldberg, Michael; Green, William R.
2015
The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301
Erdoğan, M. Burak; Green, William R.
2017
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261
Goldberg, Michael; Green, William R.
2017
Exponential decay of dispersion-managed solitons for general dispersion profiles. Zbl 1333.35261
Green, William R.; Hundertmark, Dirk
2016
Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432
Erdoğan, M. Burak; Green, William R.; Ebru, Toprak
2019
Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2019
On the $$L^p$$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2018
On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. Zbl 1429.35059
Green, William R.; Toprak, Ebru
2019
Time decay estimates for the wave equation with potential in dimension two. Zbl 1297.35035
Green, William R.
2014
The $$L^{p}$$ boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029
Goldberg, Michael; Green, William R.
2016
Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru
2018
Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294
Erdoğan, M. Burak; Green, William R.
2013
On the $$L^p$$ boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223
Goldberg, Michael; Green, William R.
2017
Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. Zbl 1373.35266
Green, William R.
2012
Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy. Zbl 1424.35288
Green, William R.; Toprak, Ebru
2017
On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru
2021
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 07481658
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2021
On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru
2021
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 07481658
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2021
Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432
Erdoğan, M. Burak; Green, William R.; Ebru, Toprak
2019
Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2019
On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. Zbl 1429.35059
Green, William R.; Toprak, Ebru
2019
On the $$L^p$$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2018
Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru
2018
The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301
Erdoğan, M. Burak; Green, William R.
2017
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261
Goldberg, Michael; Green, William R.
2017
On the $$L^p$$ boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223
Goldberg, Michael; Green, William R.
2017
Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy. Zbl 1424.35288
Green, William R.; Toprak, Ebru
2017
Exponential decay of dispersion-managed solitons for general dispersion profiles. Zbl 1333.35261
Green, William R.; Hundertmark, Dirk
2016
The $$L^{p}$$ boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029
Goldberg, Michael; Green, William R.
2016
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216
Goldberg, Michael; Green, William R.
2015
Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2014
Time decay estimates for the wave equation with potential in dimension two. Zbl 1297.35035
Green, William R.
2014
Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. Zbl 1282.35143
Erdoğan, M. Burak; Green, William R.
2013
A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053
Erdoğan, M. Burak; Green, William R.
2013
Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294
Erdoğan, M. Burak; Green, William R.
2013
Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. Zbl 1373.35266
Green, William R.
2012
Dispersive estimates for the Schrödinger equation for $$C^{\frac{n-3}{2}}$$ potentials in odd dimensions. Zbl 1200.35036
Erdoğan, M. Burak; Green, William R.
2010
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### 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
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### 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
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### 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)