Su, Xiaoyan; Xu, Chengbin; Xu, Guixiang; Yu, Xiaoqing A limiting absorption principle for high-order Schrödinger operators in critical spaces. (English) Zbl 07783577 Ill. J. Math. 67, No. 4, 687-704 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47A10 35P05 PDFBibTeX XMLCite \textit{X. Su} et al., Ill. J. Math. 67, No. 4, 687--704 (2023; Zbl 07783577) Full Text: DOI arXiv Link
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Counterexamples to \(L^p\) boundedness of wave operators for classical and higher order Schrödinger operators. (English) Zbl 07694897 J. Funct. Anal. 285, No. 5, Article ID 110008, 18 p. (2023). MSC: 47B93 35J10 35P05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Funct. Anal. 285, No. 5, Article ID 110008, 18 p. (2023; Zbl 07694897) Full Text: DOI arXiv
Cheng, Han; Huang, Shanlin; Zheng, Quan Dispersive estimates for the Schrödinger equation with finite rank perturbations. (English) Zbl 1518.35261 Adv. Math. 426, Article ID 109105, 91 p. (2023). MSC: 35J10 81Q15 42B37 PDFBibTeX XMLCite \textit{H. Cheng} et al., Adv. Math. 426, Article ID 109105, 91 p. (2023; Zbl 1518.35261) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators. (English) Zbl 1525.35084 J. Differ. Equations 355, 144-161 (2023). Reviewer: Denis A. White (Toledo) MSC: 35J10 35J30 47A40 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, J. Differ. Equations 355, 144--161 (2023; Zbl 1525.35084) Full Text: DOI arXiv
Li, Ping; Soffer, Avy; Yao, Xiaohua Decay estimates for fourth-order Schrödinger operators in dimension two. (English) Zbl 1511.35137 J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{P. Li} et al., J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023; Zbl 1511.35137) Full Text: DOI arXiv
Cao, Jun; Liu, Yu; Yang, Dachun; Zhang, Chao Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes. (English) Zbl 1521.35098 J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136-2192 (2022). MSC: 35K08 35B45 35J10 35J30 47G40 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136--2192 (2022; Zbl 1521.35098) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions. (English) Zbl 1527.35147 Bull. Lond. Math. Soc. 54, No. 2, 428-448 (2022). Reviewer: Luigi Provenzano (Padova) MSC: 35J30 35J10 47A10 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Bull. Lond. Math. Soc. 54, No. 2, 428--448 (2022; Zbl 1527.35147) Full Text: DOI arXiv
Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for bi-Schrödinger operators in dimension one. (English) Zbl 1505.35129 Ann. Henri Poincaré 23, No. 8, 2683-2744 (2022). Reviewer: Said El Manouni (Riyadh) MSC: 35J30 35B65 PDFBibTeX XMLCite \textit{A. Soffer} et al., Ann. Henri Poincaré 23, No. 8, 2683--2744 (2022; Zbl 1505.35129) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. The \(L^p\)-continuity of wave operators for higher order Schrödinger operators. (English) Zbl 07537713 Adv. Math. 404, Part B, Article ID 108450, 41 p. (2022). MSC: 35J10 35J30 47A40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Adv. Math. 404, Part B, Article ID 108450, 41 p. (2022; Zbl 07537713) Full Text: DOI arXiv
Huang, Tianxiao; Huang, Shanlin; Zheng, Quan Unique continuation properties for one dimensional higher order Schrödinger equations. (English) Zbl 1486.35093 J. Geom. Anal. 32, No. 5, Paper No. 167, 34 p. (2022). MSC: 35B60 35A02 35J10 35Q41 PDFBibTeX XMLCite \textit{T. Huang} et al., J. Geom. Anal. 32, No. 5, Paper No. 167, 34 p. (2022; Zbl 1486.35093) Full Text: DOI arXiv
Li, Peijun; Yao, Xiaohua; Zhao, Yue Stability for an inverse source problem of the biharmonic operator. (English) Zbl 1480.35407 SIAM J. Appl. Math. 81, No. 6, 2503-2525 (2021). MSC: 35R30 35B35 35J30 35P25 78A46 PDFBibTeX XMLCite \textit{P. Li} et al., SIAM J. Appl. Math. 81, No. 6, 2503--2525 (2021; Zbl 1480.35407) Full Text: DOI arXiv
Mizutani, Haruya; Yao, Xiaohua Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials. (English) Zbl 1477.35047 Commun. Math. Phys. 388, No. 1, 581-623 (2021). MSC: 35B45 35R11 47D06 PDFBibTeX XMLCite \textit{H. Mizutani} and \textit{X. Yao}, Commun. Math. Phys. 388, No. 1, 581--623 (2021; Zbl 1477.35047) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. (English) Zbl 07344659 Trans. Am. Math. Soc. 374, No. 6, 4075-4092 (2021). MSC: 47-XX 35-XX PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Trans. Am. Math. Soc. 374, No. 6, 4075--4092 (2021; Zbl 07344659) Full Text: DOI arXiv
Feng, Hongliang Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions. (English) Zbl 1465.35167 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021). MSC: 35J30 PDFBibTeX XMLCite \textit{H. Feng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021; Zbl 1465.35167) Full Text: DOI arXiv