Feng, Hongliang; Soffer, Avy; Yao, Xiaohua Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013 J. Funct. Anal. 274, No. 2, 605-658 (2018). MSC: 58J50 42B15 35P15 42B20 47F05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Funct. Anal. 274, No. 2, 605--658 (2018; Zbl 1379.58013) Full Text: DOI arXiv
Soffer, Avy; Xiao, Jianguo Multi-center vector field methods for wave equations. (English) Zbl 1413.58012 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016). MSC: 58J45 35B40 35J10 35L70 35Q41 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{J. Xiao}, Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016; Zbl 1413.58012) Full Text: DOI arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. (English) Zbl 1187.35032 Trans. Am. Math. Soc. 362, No. 1, 289-318 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J10 58J05 58J60 35P25 35B45 PDFBibTeX XMLCite \textit{W. Schlag} et al., Trans. Am. Math. Soc. 362, No. 1, 289--318 (2010; Zbl 1187.35032) Full Text: DOI arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. (English) Zbl 1185.35046 Trans. Am. Math. Soc. 362, No. 1, 19-52 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J10 58J05 58J60 35P25 PDFBibTeX XMLCite \textit{W. Schlag} et al., Trans. Am. Math. Soc. 362, No. 1, 19--52 (2010; Zbl 1185.35046) Full Text: DOI arXiv
Blue, Pieter; Soffer, Avy A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. (English) Zbl 1137.58011 Lett. Math. Phys. 81, No. 3, 227-238 (2007). MSC: 58J45 35P25 35L70 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, Lett. Math. Phys. 81, No. 3, 227--238 (2007; Zbl 1137.58011) Full Text: DOI arXiv
Blue, P.; Soffer, A. Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole. arXiv:math/0612168 Preprint, arXiv:math/0612168 [math.AP] (2006). MSC: 35Q75 58J45 BibTeX Cite \textit{P. Blue} and \textit{A. Soffer}, ``Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole'', Preprint, arXiv:math/0612168 [math.AP] (2006) Full Text: arXiv
Blue, P.; Soffer, A. The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. (English) Zbl 1076.58020 J. Math. Phys. 46, No. 1, 012502, 9 p. (2005). MSC: 58J45 35Q75 83C15 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, J. Math. Phys. 46, No. 1, 012502, 9 p. (2005; Zbl 1076.58020) Full Text: DOI arXiv
Blue, P.; Soffer, A. Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. (English) Zbl 1044.58033 Adv. Differ. Equ. 8, No. 5, 595-614 (2003). Reviewer: Thoralf Chrobok (Berlin) MSC: 58J45 83C57 35Q75 35L05 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, Adv. Differ. Equ. 8, No. 5, 595--614 (2003; Zbl 1044.58033) Full Text: arXiv
Łaba, I.; Soffer, A. Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. (English) Zbl 0976.58019 Helv. Phys. Acta 72, No. 4, 274-294 (1999). MSC: 58J45 35Q75 58J50 81Q05 PDFBibTeX XMLCite \textit{I. Łaba} and \textit{A. Soffer}, Helv. Phys. Acta 72, No. 4, 274--294 (1999; Zbl 0976.58019) Full Text: arXiv