Edit Profile (opens in new tab) Blair, Matthew D. Co-Author Distance Author ID: blair.matthew-d Published as: Blair, Matthew D.; Blair, Matthew External Links: MGP Documents Indexed: 27 Publications since 2006, including 2 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 20 Joint Publications 406 Co-Co-Authors all top 5 Co-Authors 7 single-authored 13 Sogge, Christopher D. 4 Smith, Hart F. 3 Austin Ford, G. 3 Flórez, Rigoberto 3 Huang, Xiaoqi 3 Marzuola, Jeremy Louis 3 Mukherjee, Antara 2 Sire, Yannick 1 Herr, Sebastian 1 Ness, Christopher 1 Ramírez, José Luis all top 5 Serials 2 Communications in Mathematical Physics 2 The Fibonacci Quarterly 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Analysis & PDE 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Integers all top 5 Fields 20 Partial differential equations (35-XX) 16 Global analysis, analysis on manifolds (58-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 3 Number theory (11-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 27 Fields 131 Partial differential equations (35-XX) 46 Global analysis, analysis on manifolds (58-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Number theory (11-XX) 6 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year