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
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
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
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
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Strichartz estimates for the Schrödinger equation with a measure-valued potential. (English) Zbl 1491.35357 Proc. Am. Math. Soc., Ser. B 8, 336-348 (2021). Reviewer: Ivan Naumkin (Nice) MSC: 35Q40 42B15 35B20 28A80 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Proc. Am. Math. Soc., Ser. B 8, 336--348 (2021; Zbl 1491.35357) 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
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1455.35212 J. Differ. Equations 271, 152-185 (2021). MSC: 35Q41 35B34 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Differ. Equations 271, 152--185 (2021; Zbl 1455.35212) Full Text: DOI arXiv
Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1429.35059 J. Differ. Equations 267, No. 3, 1899-1954 (2019). Reviewer: Youssef Jabri (Oujda) MSC: 35J10 35J30 PDFBibTeX XMLCite \textit{W. R. Green} and \textit{E. Toprak}, J. Differ. Equations 267, No. 3, 1899--1954 (2019; Zbl 1429.35059) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. (English) Zbl 1516.35132 J. Funct. Anal. 274, No. 7, 2139-2161 (2018). MSC: 35B45 35J10 35Q41 35P05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Funct. Anal. 274, No. 7, 2139--2161 (2018; Zbl 1516.35132) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. (English) Zbl 1364.81223 Ann. Henri Poincaré 18, No. 4, 1269-1288 (2017). MSC: 81U20 81Q05 35J10 35P25 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Ann. Henri Poincaré 18, No. 4, 1269--1288 (2017; Zbl 1364.81223) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. (English) Zbl 1364.35301 Commun. Math. Phys. 352, No. 2, 719-757 (2017). MSC: 35Q41 81Q05 35B45 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 352, No. 2, 719--757 (2017; Zbl 1364.35301) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. (English) Zbl 1351.35029 Adv. Math. 303, 360-389 (2016). MSC: 35J10 35Q41 35P25 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Adv. Math. 303, 360--389 (2016; Zbl 1351.35029) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. (English) Zbl 1317.35216 J. Funct. Anal. 269, No. 3, 633-682 (2015). MSC: 35Q41 35B45 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, J. Funct. Anal. 269, No. 3, 633--682 (2015; Zbl 1317.35216) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. (English) Zbl 1325.35017 Commun. Partial Differ. Equations 39, No. 10, 1936-1964 (2014). MSC: 35J10 35P15 35Q41 35L05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Commun. Partial Differ. Equations 39, No. 10, 1936--1964 (2014; Zbl 1325.35017) Full Text: DOI arXiv
Green, William R. Time decay estimates for the wave equation with potential in dimension two. (English) Zbl 1297.35035 J. Differ. Equations 257, No. 3, 868-919 (2014). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L15 35B34 47A10 PDFBibTeX XMLCite \textit{W. R. Green}, J. Differ. Equations 257, No. 3, 868--919 (2014; Zbl 1297.35035) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. (English) Zbl 1282.35143 Trans. Am. Math. Soc. 365, No. 12, 6403-6440 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 81U30 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Trans. Am. Math. Soc. 365, No. 12, 6403--6440 (2013; Zbl 1282.35143) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. A weighted dispersive estimate for Schrödinger operators in dimension two. (English) Zbl 1272.35053 Commun. Math. Phys. 319, No. 3, 791-811 (2013). Reviewer: James Bernard Kennedy (Ulm) MSC: 35B45 35J10 35P10 35B40 47D06 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 319, No. 3, 791--811 (2013; Zbl 1272.35053) Full Text: DOI arXiv
Green, William R. Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. (English) Zbl 1373.35266 Ill. J. Math. 56, No. 2, 307-341 (2012). MSC: 35Q41 42B20 PDFBibTeX XMLCite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid