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Matthew D. Blair
Matthew D. Blair
Professor of Mathematics, University of New Mexico
Verified email at math.unm.edu - Homepage
Title
Cited by
Cited by
Year
Strichartz estimates for the wave equation on manifolds with boundary
MD Blair, HF Smith, CD Sogge
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (5), 1817-1829, 2009
1022009
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
M Blair, H Smith, C Sogge
Proceedings of the American Mathematical Society 136 (1), 247-256, 2008
752008
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary
MD Blair, HF Smith, CD Sogge
Mathematische Annalen 354 (4), 1397-1430, 2012
552012
Concerning Toponogov’s Theorem and logarithmic improvement of estimates of eigenfunctions
MD Blair, CD Sogge
Journal of Differential Geometry 109 (2), 189-221, 2018
282018
On Kakeya–Nikodym averages, -norms and lower bounds for nodal sets of eigenfunctions in higher dimensions
MD Blair, CD Sogge
Journal of the European Mathematical Society 17 (10), 2513-2543, 2015
252015
Strichartz estimates for the Schrödinger equation on polygonal domains
MD Blair, GA Ford, S Herr, JL Marzuola
Journal of Geometric Analysis 22 (2), 339-351, 2012
232012
Refined and microlocal Kakeya–Nikodym bounds of eigenfunctions in higher dimensions
MD Blair, CD Sogge
Communications in Mathematical Physics 356 (2), 501-533, 2017
212017
Refined and microlocal Kakeya–Nikodym bounds for eigenfunctions in two dimensions
M Blair, C Sogge
Analysis & PDE 8 (3), 747-764, 2015
212015
Strichartz estimates for the wave equation on flat cones
MD Blair, GA Ford, JL Marzuola
International Mathematics Research Notices 2013 (3), 562-591, 2013
192013
Strichartz estimates for wave equations with coefficients of Sobolev regularity
M Blair
Communications in Partial Differential Equations 31 (5), 649-688, 2006
182006
Logarithmic improvements in L p bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature
MD Blair, CD Sogge
Inventiones mathematicae 217 (2), 703-748, 2019
172019
Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials
MD Blair, Y Sire, CD Sogge
The Journal of Geometric Analysis 31 (7), 6624-6661, 2021
142021
Lq bounds on restrictions of spectral clusters to submanifolds for low regularity metrics
M Blair
Analysis & PDE 6 (6), 1263-1288, 2013
102013
Physical demands on elite lead rugby union referees
C Bester, D Coetzee, R Schall, M Blair
International Journal of Performance Analysis in Sport 19 (2), 258-273, 2019
92019
On logarithmic improvements of critical geodesic restriction bounds in the presence of nonpositive curvature
MD Blair
Israel Journal of Mathematics 224 (1), 407-436, 2018
92018
On multilinear spectral cluster estimates for manifolds with boundary
MD Blair, HF Smith, CD Sogge
arXiv preprint math/0611443, 2006
72006
Matrices in the Determinant Hosoya Triangle, Fibonacci Quart. 58 (2020), no. 5, 34–54.
M Blair, R Flórez, A Mukherjee, JL Ramırez
Fibonacci Quart 58 (5), 34-54, 2020
42020
Spectral cluster estimates for metrics of Sobolev regularity
M Blair
Transactions of the American Mathematical Society 361 (3), 1209-1240, 2009
42009
Strichartz estimates for the wave equation on manifolds with boundary. to appear in Ann
MD Blair, HF Smith, CD Sogge
Inst. H. Poincaré, Anal. Non Liréaire, 0
4
Uniform Sobolev estimates on compact manifolds involving singular potentials
MD Blair, X Huang, Y Sire, CD Sogge
Revista Matemática Iberoamericana, 2021
32021
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