Blair, Matthew D.; Huang, Xiaoqi; Sire, Yannick; Sogge, Christopher D. Uniform Sobolev estimates on compact manifolds involving singular potentials. (English) Zbl 1493.58013 Rev. Mat. Iberoam. 38, No. 4, 1239-1286 (2022). MSC: 58J50 35P15 35J05 PDFBibTeX XMLCite \textit{M. D. Blair} et al., Rev. Mat. Iberoam. 38, No. 4, 1239--1286 (2022; Zbl 1493.58013) Full Text: DOI arXiv
Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. (English) Zbl 1472.35257 J. Geom. Anal. 31, No. 7, 6624-6661 (2021). MSC: 35P20 35J10 42B15 58J50 35R01 PDFBibTeX XMLCite \textit{M. D. Blair} et al., J. Geom. Anal. 31, No. 7, 6624--6661 (2021; Zbl 1472.35257) Full Text: DOI arXiv
Blair, Matthew D. On refined local smoothing estimates for the Schrödinger equation in exterior domains. (English) Zbl 1297.35201 Commun. Partial Differ. Equations 39, No. 5, 781-805 (2014). MSC: 35Q41 35B65 35J10 35A17 42B37 35B45 PDFBibTeX XMLCite \textit{M. D. Blair}, Commun. Partial Differ. Equations 39, No. 5, 781--805 (2014; Zbl 1297.35201) Full Text: DOI arXiv
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D. Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. (English) Zbl 1262.58015 Math. Ann. 354, No. 4, 1397-1430 (2012). MSC: 58J32 35J10 35G61 PDFBibTeX XMLCite \textit{M. D. Blair} et al., Math. Ann. 354, No. 4, 1397--1430 (2012; Zbl 1262.58015) Full Text: DOI arXiv