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
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; 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; 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
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
Beceanu, Marius; Goldberg, Michael Schrödinger dispersive estimates for a scaling-critical class of potentials. (English) Zbl 1250.35047 Commun. Math. Phys. 314, No. 2, 471-481 (2012). MSC: 35B45 47D06 35Q41 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{M. Goldberg}, Commun. Math. Phys. 314, No. 2, 471--481 (2012; Zbl 1250.35047) Full Text: DOI arXiv
Goldberg, Michael A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. (English) Zbl 1223.35265 Commun. Partial Differ. Equations 35, No. 9, 1610-1634 (2010). Reviewer: Nils Ackermann (Mexico City) MSC: 35Q41 81U30 35J10 47D08 PDFBibTeX XMLCite \textit{M. Goldberg}, Commun. Partial Differ. Equations 35, No. 9, 1610--1634 (2010; Zbl 1223.35265) Full Text: DOI arXiv
Goldberg, Michael Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. (English) Zbl 1161.35004 J. Funct. Anal. 256, No. 3, 718-746 (2009). MSC: 35J10 35P25 81Q10 PDFBibTeX XMLCite \textit{M. Goldberg}, J. Funct. Anal. 256, No. 3, 718--746 (2009; Zbl 1161.35004) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). (English) Zbl 1152.35021 J. Eur. Math. Soc. (JEMS) 10, No. 2, 507-531 (2008). MSC: 35J10 35Q40 35B45 81Q05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Eur. Math. Soc. (JEMS) 10, No. 2, 507--531 (2008; Zbl 1152.35021) Full Text: DOI arXiv
Goldberg, Michael; Visan, Monica A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. (English) Zbl 1110.35073 Commun. Math. Phys. 266, No. 1, 211-238 (2006). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 35Q40 35J10 81Q05 47F05 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{M. Visan}, Commun. Math. Phys. 266, No. 1, 211--238 (2006; Zbl 1110.35073) Full Text: DOI arXiv
Goldberg, M.; Schlag, W. Dispersive estimates for Schrödinger operators in dimensions one and three. (English) Zbl 1086.81077 Commun. Math. Phys. 251, No. 1, 157-178 (2004). MSC: 81U05 35Q40 81Q10 35P15 47E05 47F05 47N50 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. Schlag}, Commun. Math. Phys. 251, No. 1, 157--178 (2004; Zbl 1086.81077) Full Text: DOI arXiv Link