×
Author ID: blair.matthew-d Recent zbMATH articles by "Blair, Matthew D."
Published as: Blair, Matthew D.; Blair, Matthew
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 226 times in 147 Documents Cited by Year
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
56
2009
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
29
2008
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
24
2012
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
16
2018
Logarithmic improvements in \(L^{p}\) bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature. Zbl 1428.35248
Blair, Matthew D.; Sogge, Christopher D.
13
2019
On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions. Zbl 1330.58023
Blair, Matthew D.; Sogge, Christopher D.
11
2015
Strichartz estimates for the wave equation on flat cones. Zbl 1329.35080
Blair, Matthew D.; Ford, G. Austin; Marzuola, Jeremy L.
11
2013
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029
Blair, Matthew D.; Sogge, Christopher D.
11
2015
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
9
2017
Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257
Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D.
7
2021
\(L^q\) bounds on restrictions of spectral clusters to submanifolds for low regularity metrics. Zbl 1291.35154
Blair, Matthew D.
7
2013
Strichartz estimates for the Schrödinger equation on polygonal domains. Zbl 1252.35237
Blair, Matthew D.; Ford, G. Austin; Herr, Sebastian; Marzuola, Jeremy L.
6
2012
Matrices in the Hosoya triangle. Zbl 1447.11021
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara
5
2019
On logarithmic improvements of critical geodesic restriction bounds in the presence of nonpositive curvature. Zbl 1396.53060
Blair, Matthew D.
5
2018
Strichartz estimates for wave equations with coefficients of Sobolev regularity. Zbl 1098.35036
Blair, Matthew
4
2006
On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
3
2008
Spectral cluster estimates for metrics of Sobolev regularity. Zbl 1189.42013
Blair, Matthew D.
2
2009
Geometric patterns in the determinant Hosoya triangle. Zbl 1490.11019
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara
2
2021
Matrices in the determinant Hosoya triangle. Zbl 1470.11020
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara; Ramírez, José L.
2
2020
Uniform Sobolev estimates on compact manifolds involving singular potentials. Zbl 1493.58013
Blair, Matthew D.; Huang, Xiaoqi; Sire, Yannick; Sogge, Christopher D.
2
2022
\(L^p\)-bounds on spectral clusters associated to polygonal domains. Zbl 1401.58015
Blair, Matthew D.; Ford, G. Austin; Marzuola, Jeremy L.
1
2018
Uniform Sobolev estimates on compact manifolds involving singular potentials. Zbl 1493.58013
Blair, Matthew D.; Huang, Xiaoqi; Sire, Yannick; Sogge, Christopher D.
2
2022
Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257
Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D.
7
2021
Geometric patterns in the determinant Hosoya triangle. Zbl 1490.11019
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara
2
2021
Matrices in the determinant Hosoya triangle. Zbl 1470.11020
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara; Ramírez, José L.
2
2020
Logarithmic improvements in \(L^{p}\) bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature. Zbl 1428.35248
Blair, Matthew D.; Sogge, Christopher D.
13
2019
Matrices in the Hosoya triangle. Zbl 1447.11021
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara
5
2019
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
16
2018
On logarithmic improvements of critical geodesic restriction bounds in the presence of nonpositive curvature. Zbl 1396.53060
Blair, Matthew D.
5
2018
\(L^p\)-bounds on spectral clusters associated to polygonal domains. Zbl 1401.58015
Blair, Matthew D.; Ford, G. Austin; Marzuola, Jeremy L.
1
2018
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
9
2017
On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions. Zbl 1330.58023
Blair, Matthew D.; Sogge, Christopher D.
11
2015
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029
Blair, Matthew D.; Sogge, Christopher D.
11
2015
Strichartz estimates for the wave equation on flat cones. Zbl 1329.35080
Blair, Matthew D.; Ford, G. Austin; Marzuola, Jeremy L.
11
2013
\(L^q\) bounds on restrictions of spectral clusters to submanifolds for low regularity metrics. Zbl 1291.35154
Blair, Matthew D.
7
2013
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
24
2012
Strichartz estimates for the Schrödinger equation on polygonal domains. Zbl 1252.35237
Blair, Matthew D.; Ford, G. Austin; Herr, Sebastian; Marzuola, Jeremy L.
6
2012
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
56
2009
Spectral cluster estimates for metrics of Sobolev regularity. Zbl 1189.42013
Blair, Matthew D.
2
2009
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
29
2008
On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
3
2008
Strichartz estimates for wave equations with coefficients of Sobolev regularity. Zbl 1098.35036
Blair, Matthew
4
2006
all top 5

Cited by 162 Authors

11 Sogge, Christopher D.
10 Blair, Matthew D.
9 Ivanovici, Oana
6 Huang, Xiaoqi
6 Marzuola, Jeremy Louis
6 Mei, Xinyu
6 Planchon, Fabrice
6 Zhang, Cheng
5 Lebeau, Gilles
5 Liu, Cuncai
5 Meng, Fengjuan
5 Sun, Chunyou
5 Zelik, Sergey V.
5 Zhang, Junyong
4 Burq, Nicolas
4 Cavalcanti, Marcelo Moreira
4 Gonzalez Martinez, Victor Hugo
4 Xi, Yakun
4 Zheng, Jiqiang
3 Brzeźniak, Zdzisław
3 Domingos Cavalcanti, Valéria Neves
3 Duyckaerts, Thomas
3 Flórez, Rigoberto
3 Galkowski, Jeffrey
3 Landoulsi, Oussama
3 Meas, Len
3 Mukherjee, Antara
3 Shakra, Farah Abou
3 Xiong, Yangmin
3 Zhong, Chengkui
2 Austin Ford, G.
2 Canzani, Yaiza
2 Chen, Jiecheng
2 Fan, Dashan
2 Gao, Xiaofen
2 Hezari, Hamid
2 Hornung, Fabian
2 Kalita, Piotr
2 Kunisch, Karl
2 Lafontaine, David
2 Mansouri, Sabeur
2 Metcalfe, Jason L.
2 Nogueira, Marcelo
2 Özsarı, Türker
2 Pampu, Ademir B.
2 Panthee, Mahendra
2 Rivière, Gabriel
2 Roudenko, Svetlana
2 Sire, Yannick
2 Steinerberger, Stefan
2 Tacy, Melissa
2 Tang, Zhijun
2 Tataru, Daniel
2 Thomann, Laurent
2 Tzvetkov, Nikolay
2 Wang, Wei-Min
2 Weis, Lutz W.
2 Xie, Yongqin
2 Xu, Chengbin
2 Yan, SenLin
2 Yang, Kai
2 Zhang, Chang
2 Zhu, Kaixuan
2 Zuily, Claude
1 Alazard, Thomas
1 Albin, Pierre
1 Anton, Ramona
1 Astudillo Rojas, Maria R.
1 Astudillo, María R.
1 Audiard, Corentin
1 Banaśkiewicz, Jakub
1 Barnett, Alex H.
1 Casarino, Valentina
1 Cassano, Biagio
1 Chen, Jingdan
1 Chen, Xi
1 Ching, Hsin-Yun
1 Christ, Michael
1 Christianson, Hans
1 Cuenin, Jean-Claude
1 D’Ancona, Piero
1 de Poyferré, Thibault
1 de Souza Franco, Alisson Younio
1 Deng, Qingquan
1 Deng, Xijun
1 Ding, Yong
1 Eswarathasan, Suresh
1 Ferrario, Benedetta
1 Filonov, Nikolai D.
1 Frank, Rupert L.
1 Freitas, Mirelson M.
1 Fukuoka, Ryuichi
1 Gerard, Patrick
1 Germain, Pierre
1 Hajjej, Zayd
1 Han, Xiaolong
1 Hani, Zaher
1 Hassell, Andrew
1 Hayashi, Masayuki
1 Herr, Sebastian
...and 62 more Authors
all top 5

Cited in 72 Serials

9 Journal of Functional Analysis
6 Communications in Mathematical Physics
6 Advances in Mathematics
6 Journal of Differential Equations
5 Journal of Mathematical Analysis and Applications
5 The Journal of Geometric Analysis
5 Communications in Partial Differential Equations
4 Applied Mathematics and Optimization
4 Mathematische Annalen
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Transactions of the American Mathematical Society
4 Revista Matemática Iberoamericana
4 Discrete and Continuous Dynamical Systems
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Applied Mathematics Letters
3 Communications on Pure and Applied Analysis
3 Analysis & PDE
2 Russian Mathematical Surveys
2 Bulletin de la Société Mathématique de France
2 Forum Mathematicum
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Dynamics and Differential Equations
2 Annales Henri Poincaré
2 Discrete and Continuous Dynamical Systems. Series B
2 Oberwolfach Reports
2 Pure and Applied Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Mathematical Methods in the Applied Sciences
1 American Journal of Mathematics
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Physica D
1 Probability Theory and Related Fields
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Integers
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Hyperbolic Differential Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Involve
1 São Paulo Journal of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Annales Mathématiques du Québec
1 Journal of Mathematics
1 Special Matrices
1 Annals of PDE
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 Tunisian Journal of Mathematics
1 Annales Fennici Mathematici

Citations by Year