William Green
William Green
Associate Professor of Mathematics, Rose-Hulman Institute of Technology
Verified email at rose-hulman.edu - Homepage
Title
Cited by
Cited by
Year
Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy
M Erdoğan, W Green
Transactions of the American Mathematical Society 365 (12), 6403-6440, 2013
362013
Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy
MB Erdoğan, M Goldberg, WR Green
Communications in Partial Differential Equations 39 (10), 1936-1964, 2014
282014
Dispersive Estimates for the Schrödinger Equation for Potentials in Odd Dimensions
MB Erdoğan, WR Green
International Mathematics Research Notices 2010 (13), 2532-2565, 2010
282010
A weighted dispersive estimate for Schrödinger operators in dimension two
MB Erdoğan, WR Green
Communications in Mathematical Physics 319 (3), 791-811, 2013
262013
Dispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues I: The odd dimensional case
M Goldberg, WR Green
Journal of Functional Analysis 269 (3), 633-682, 2015
222015
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case
M Goldberg, WR Green
Journal of Spectral Theory 7 (1), 33-86, 2017
182017
Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies
MB Erdoğan, WR Green, T Ebru
American Journal of Mathematics 141 (5), 1217-1258, 2019
142019
The Lp boundedness of wave operators for Schrödinger operators with threshold singularities
M Goldberg, WR Green
Advances in Mathematics 303, 360-389, 2016
132016
The Dirac equation in two dimensions: Dispersive estimates and classification of threshold obstructions
MB Erdoğan, WR Green
Communications in Mathematical Physics 352 (2), 719-757, 2017
122017
Exponential decay of dispersion-managed solitons for general dispersion profiles
WR Green, D Hundertmark
Letters in Mathematical Physics 106 (2), 221-249, 2016
122016
Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions
MB Erdoğan, M Goldberg, WR Green
Communications in Mathematical Physics 367 (1), 241-263, 2019
112019
On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
WR Green, E Toprak
Journal of Differential Equations 267 (3), 1899-1954, 2019
102019
On the Lp boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions
MB Erdoğan, M Goldberg, WR Green
Journal of Functional Analysis 274 (7), 2139-2161, 2018
102018
Time decay estimates for the wave equation with potential in dimension two
WR Green
Journal of Differential Equations 257 (3), 868-919, 2014
102014
Dispersive estimates for matrix and scalar Schrödinger operators in dimension five
WR Green
Illinois Journal of Mathematics 56 (2), 307-341, 2012
92012
On the fourth order Schrödinger equation in three dimensions: Dispersive estimates and zero energy resonances
MB Erdoğan, WR Green, E Toprak
Journal of Differential Equations 271, 152-185, 2021
62021
On the Boundedness of Wave Operators for Four-Dimensional Schrödinger Operators with a Threshold Eigenvalue
M Goldberg, WR Green
Annales Henri Poincaré 18 (4), 1269-1288, 2017
62017
Dispersive estimates for matrix Schr\"{o} dinger operators in dimension two
MB Erdoğan, WR Green
Discrete and Continuous Dynamical Systems - Series A 33 (10), 4473-4495, 2012
52012
Dispersive estimates for massive Dirac operators in dimension two
MB Erdoğan, WR Green, E Toprak
Journal of Differential Equations 264 (9), 5802-5837, 2018
32018
Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy
WR Green, E Toprak
Differential and Integral Equations 30 (5/6), 329-386, 2017
32017
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Articles 1–20