Jeong, Eunhee; Kwon, Yehyun; Lee, Sanghyuk Carleman estimates and boundedness of associated multiplier operators. (English) Zbl 1487.42024 Commun. Partial Differ. Equations 47, No. 4, 774-796 (2022). MSC: 42B15 42B25 42B37 35B60 35A23 PDF BibTeX XML Cite \textit{E. Jeong} et al., Commun. Partial Differ. Equations 47, No. 4, 774--796 (2022; Zbl 1487.42024) Full Text: DOI OpenURL
Huang, Xiaoqi; Sogge, Christopher D. Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials. (English) Zbl 1483.35055 J. Geom. Anal. 32, No. 2, Paper No. 68, 36 p. (2022). MSC: 35B45 35J10 35P15 PDF BibTeX XML Cite \textit{X. Huang} and \textit{C. D. Sogge}, J. Geom. Anal. 32, No. 2, Paper No. 68, 36 p. (2022; Zbl 1483.35055) Full Text: DOI arXiv OpenURL
Huang, Xiaoqi; Sire, Yannick; Zhang, Cheng Spectral cluster estimates for Schrödinger operators of relativistic type. (English. French summary) Zbl 1477.35109 J. Math. Pures Appl. (9) 155, 32-61 (2021). MSC: 35P20 35J10 35R11 42B20 42B37 PDF BibTeX XML Cite \textit{X. Huang} et al., J. Math. Pures Appl. (9) 155, 32--61 (2021; Zbl 1477.35109) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. D. Blair} et al., J. Geom. Anal. 31, No. 7, 6624--6661 (2021; Zbl 1472.35257) Full Text: DOI arXiv OpenURL
Kwon, Yehyun; Lee, Sanghyuk; Seo, Ihyeok Resolvent estimates for the Lamé operator and failure of Carleman estimates. (English) Zbl 1467.35071 J. Fourier Anal. Appl. 27, No. 3, Paper No. 53, 27 p. (2021). MSC: 35B45 35J47 42B15 47A10 74B05 PDF BibTeX XML Cite \textit{Y. Kwon} et al., J. Fourier Anal. Appl. 27, No. 3, Paper No. 53, 27 p. (2021; Zbl 1467.35071) Full Text: DOI arXiv OpenURL
Kwon, Yehyun; Lee, Sanghyuk Sharp resolvent estimates outside of the uniform boundedness range. (English) Zbl 1444.35032 Commun. Math. Phys. 374, No. 3, 1417-1467 (2020). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35B45 47A10 42B15 42B37 PDF BibTeX XML Cite \textit{Y. Kwon} and \textit{S. Lee}, Commun. Math. Phys. 374, No. 3, 1417--1467 (2020; Zbl 1444.35032) Full Text: DOI arXiv OpenURL
Mizutani, Haruya Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential. (English) Zbl 1412.35206 J. Spectr. Theory 9, No. 2, 677-709 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{H. Mizutani}, J. Spectr. Theory 9, No. 2, 677--709 (2019; Zbl 1412.35206) Full Text: DOI arXiv OpenURL
Sikora, Adam; Yan, Lixin; Yao, Xiaohua Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators. (English) Zbl 1407.35006 Int. Math. Res. Not. 2018, No. 10, 3070-3121 (2018). MSC: 35A23 35J30 PDF BibTeX XML Cite \textit{A. Sikora} et al., Int. Math. Res. Not. 2018, No. 10, 3070--3121 (2018; Zbl 1407.35006) Full Text: DOI arXiv OpenURL
Ren, Tianyi; Xi, Yakun; Zhang, Cheng An endpoint version of uniform Sobolev inequalities. (English) Zbl 1402.42034 Forum Math. 30, No. 5, 1279-1289 (2018). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B35 42B20 PDF BibTeX XML Cite \textit{T. Ren} et al., Forum Math. 30, No. 5, 1279--1289 (2018; Zbl 1402.42034) Full Text: DOI arXiv OpenURL
Bourgain, Jean; Shao, Peng; Sogge, Christopher D.; Yao, Xiaohua On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds. (English) Zbl 1396.58025 Commun. Math. Phys. 333, No. 3, 1483-1527 (2015). MSC: 58J50 PDF BibTeX XML Cite \textit{J. Bourgain} et al., Commun. Math. Phys. 333, No. 3, 1483--1527 (2015; Zbl 1396.58025) Full Text: DOI arXiv OpenURL
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko On \(L^p\) resolvent estimates for Laplace-Beltrami operators on compact manifolds. (English) Zbl 1302.35382 Forum Math. 26, No. 3, 815-849 (2014). Reviewer: Luz Roncal (Logroño) MSC: 35R01 35P05 35J05 35R30 42B20 PDF BibTeX XML Cite \textit{D. Dos Santos Ferreira} et al., Forum Math. 26, No. 3, 815--849 (2014; Zbl 1302.35382) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Hassell, Andrew Uniform Sobolev estimates for non-trapping metrics. (English) Zbl 1321.58013 J. Inst. Math. Jussieu 13, No. 3, 599-632 (2014). Reviewer: Gabriel Rivière (Villeneuve d’Ascq) MSC: 58J05 58J40 58J50 PDF BibTeX XML Cite \textit{C. Guillarmou} and \textit{A. Hassell}, J. Inst. Math. Jussieu 13, No. 3, 599--632 (2014; Zbl 1321.58013) Full Text: DOI arXiv OpenURL
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko Determining an unbounded potential from Cauchy data in admissible geometries. (English) Zbl 1302.35436 Commun. Partial Differ. Equations 38, No. 1-3, 50-68 (2013). MSC: 35R30 35J25 PDF BibTeX XML Cite \textit{D. Dos Santos Ferreira} et al., Commun. Partial Differ. Equations 38, No. 1--3, 50--68 (2013; Zbl 1302.35436) Full Text: DOI arXiv Link OpenURL
Frank, Rupert L. Eigenvalue bounds for Schrödinger operators with complex potentials. (English) Zbl 1228.35158 Bull. Lond. Math. Soc. 43, No. 4, 745-750 (2011). Reviewer: Bodo Dittmar (Halle) MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{R. L. Frank}, Bull. Lond. Math. Soc. 43, No. 4, 745--750 (2011; Zbl 1228.35158) Full Text: DOI arXiv Link OpenURL
Koch, Herbert; Tataru, Daniel Dispersive estimates and absence of embedded eigenvalues. (English) Zbl 1172.35461 Journées “Équations aux dérivées partielles”, Forges-les-Eaux, France, 6 au 10 juin 2005. Exposés Nos. I–XVI. Palaiseau: École Polytechnique Palaiseau (ISBN 2-7302-1330-9/pbk). VI-1-VI-10 (2005). MSC: 35P15 35J10 35G05 35B45 PDF BibTeX XML Cite \textit{H. Koch} and \textit{D. Tataru}, in: Journées ``Équations aux dérivées partielles'', Forges-les-Eaux, France, 6 au 10 juin 2005. Exposés Nos. I--XVI. Palaiseau: École Polytechnique Palaiseau. VI-1-VI-10 (2005; Zbl 1172.35461) Full Text: EuDML OpenURL