Glogić, Irfan; Schörkhuber, Birgit Stable singularity formation for the Keller-Segel system in three dimensions. (English) Zbl 07795046 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 4, 40 p. (2024). MSC: 35A21 35B44 35C06 35K45 35K59 92C17 PDFBibTeX XMLCite \textit{I. Glogić} and \textit{B. Schörkhuber}, Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 4, 40 p. (2024; Zbl 07795046) Full Text: DOI arXiv
Gajic, Dejan Late-time asymptotics for geometric wave equations with inverse-square potentials. (English) Zbl 1527.83051 J. Funct. Anal. 285, No. 7, Article ID 110058, 114 p. (2023). MSC: 83C57 35J05 83F05 83C30 14B25 78A30 78A40 81U90 PDFBibTeX XMLCite \textit{D. Gajic}, J. Funct. Anal. 285, No. 7, Article ID 110058, 114 p. (2023; Zbl 1527.83051) Full Text: DOI arXiv
Alammari, Mashael; Snelson, Stanley Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations. (English) Zbl 1489.35013 J. Hyperbolic Differ. Equ. 19, No. 1, 175-201 (2022). MSC: 35B40 35C08 35L15 35L71 PDFBibTeX XMLCite \textit{M. Alammari} and \textit{S. Snelson}, J. Hyperbolic Differ. Equ. 19, No. 1, 175--201 (2022; Zbl 1489.35013) Full Text: DOI arXiv
Keeler, Blake; Marzuola, Jeremy L. Pointwise dispersive estimates for Schrödinger operators on product cones. (English) Zbl 1486.35159 J. Differ. Equations 320, 419-468 (2022). MSC: 35J10 35R01 35P05 PDFBibTeX XMLCite \textit{B. Keeler} and \textit{J. L. Marzuola}, J. Differ. Equations 320, 419--468 (2022; Zbl 1486.35159) Full Text: DOI arXiv
Bouclet, Jean-Marc; Burq, Nicolas Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. (English) Zbl 1473.35040 Duke Math. J. 170, No. 11, 2575-2629 (2021). MSC: 35B40 35L05 35P20 35Q41 PDFBibTeX XMLCite \textit{J.-M. Bouclet} and \textit{N. Burq}, Duke Math. J. 170, No. 11, 2575--2629 (2021; Zbl 1473.35040) Full Text: DOI arXiv
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDFBibTeX XMLCite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv
Donninger, Roland; Rao, Ziping Blowup stability at optimal regularity for the critical wave equation. (English) Zbl 1441.35070 Adv. Math. 370, Article ID 107219, 80 p. (2020). MSC: 35B44 35L71 35L15 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{Z. Rao}, Adv. Math. 370, Article ID 107219, 80 p. (2020; Zbl 1441.35070) Full Text: DOI arXiv
Donninger, Roland; Glogić, Irfan Strichartz estimates for the one-dimensional wave equation. (English) Zbl 1440.35019 Trans. Am. Math. Soc. 373, No. 6, 4051-4083 (2020). MSC: 35B45 35L05 35R01 53C07 42B37 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{I. Glogić}, Trans. Am. Math. Soc. 373, No. 6, 4051--4083 (2020; Zbl 1440.35019) Full Text: DOI arXiv
Rodriguez, Casey Soliton resolution for corotational wave maps on a wormhole. (English) Zbl 1457.58017 Int. Math. Res. Not. 2019, No. 15, 4603-4706 (2019). MSC: 58J45 83C20 PDFBibTeX XMLCite \textit{C. Rodriguez}, Int. Math. Res. Not. 2019, No. 15, 4603--4706 (2019; Zbl 1457.58017) Full Text: DOI
Lawrie, Andrew; Rodriguez, Casey Conditional stable soliton resolution for a semi-linear Skyrme equation. (English) Zbl 1473.35359 Ann. PDE 5, No. 2, Paper No. 15, 59 p. (2019). Reviewer: Arghir Dani Zarnescu (Bilbao) MSC: 35L51 35C08 35B40 PDFBibTeX XMLCite \textit{A. Lawrie} and \textit{C. Rodriguez}, Ann. PDE 5, No. 2, Paper No. 15, 59 p. (2019; Zbl 1473.35359) Full Text: DOI arXiv
Borthwick, David; Donninger, Roland; Lenzmann, Enno; Marzuola, Jeremy L. Existence and stability of Schrödinger solitons on noncompact manifolds. (English) Zbl 1428.35486 SIAM J. Math. Anal. 51, No. 5, 3854-3901 (2019). MSC: 35Q55 35C08 35B35 35B44 35B20 PDFBibTeX XMLCite \textit{D. Borthwick} et al., SIAM J. Math. Anal. 51, No. 5, 3854--3901 (2019; Zbl 1428.35486) Full Text: DOI arXiv
Kehle, Christoph; Shlapentokh-Rothman, Yakov A scattering theory for linear waves on the interior of Reissner-Nordström black holes. (English) Zbl 1419.83038 Ann. Henri Poincaré 20, No. 5, 1583-1650 (2019). Reviewer: Mohammad Khorrami (Tehran) MSC: 83C57 83C47 81T20 53Z05 83C22 81Q05 83C05 81U05 PDFBibTeX XMLCite \textit{C. Kehle} and \textit{Y. Shlapentokh-Rothman}, Ann. Henri Poincaré 20, No. 5, 1583--1650 (2019; Zbl 1419.83038) Full Text: DOI arXiv
Moschidis, Georgios Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. (English) Zbl 1402.35046 Ann. PDE 2, No. 1, Paper No. 5, 124 p. (2016). MSC: 35B40 58J45 35L05 PDFBibTeX XMLCite \textit{G. Moschidis}, Ann. PDE 2, No. 1, Paper No. 5, 124 p. (2016; Zbl 1402.35046) Full Text: DOI arXiv
Donninger, Roland; Krieger, Joachim A vector field method on the distorted Fourier side and decay for wave equations with potentials. (English) Zbl 1391.35253 Mem. Am. Math. Soc. 1142, vi, 84 p. (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L05 35L20 35B45 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{J. Krieger}, A vector field method on the distorted Fourier side and decay for wave equations with potentials. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1391.35253) Full Text: DOI arXiv
Donninger, Roland; Schörkhuber, Birgit A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1321.47096 J. Funct. Anal. 268, No. 9, 2479-2524 (2015). MSC: 47D06 37H10 60H15 47F05 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Funct. Anal. 268, No. 9, 2479--2524 (2015; Zbl 1321.47096) Full Text: DOI arXiv
Zhang, Junyong; Zheng, Jiqiang Scattering theory for nonlinear Schrödinger equations with inverse-square potential. (English) Zbl 1298.35130 J. Funct. Anal. 267, No. 8, 2907-2932 (2014). MSC: 35P25 35Q55 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Zheng}, J. Funct. Anal. 267, No. 8, 2907--2932 (2014; Zbl 1298.35130) Full Text: DOI arXiv
Hempel, Rainer; Post, Olaf; Weder, Ricardo On open scattering channels for manifolds with ends. (English) Zbl 1298.35129 J. Funct. Anal. 266, No. 9, 5526-5583 (2014). MSC: 35P25 35R01 47A40 PDFBibTeX XMLCite \textit{R. Hempel} et al., J. Funct. Anal. 266, No. 9, 5526--5583 (2014; Zbl 1298.35129) Full Text: DOI arXiv
Li, Hong-Quan \(L_p\)-estimates of the wave equation on varieties with a conic singularity. (Estimations \(L ^{p }\) de l’équation des ondes sur les variétés à singularité conique.) (French) Zbl 1254.58011 Math. Z. 272, No. 1-2, 551-575 (2012). MSC: 58J45 35B45 35L15 PDFBibTeX XMLCite \textit{H.-Q. Li}, Math. Z. 272, No. 1--2, 551--575 (2012; Zbl 1254.58011) Full Text: DOI
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. (English) Zbl 1258.81038 Ann. Henri Poincaré 13, No. 6, 1371-1426 (2012). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 81U05 47A40 34L40 PDFBibTeX XMLCite \textit{O. Costin} et al., Ann. Henri Poincaré 13, No. 6, 1371--1426 (2012; Zbl 1258.81038) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy On pointwise decay of linear waves on a Schwarzschild black hole background. (English) Zbl 1242.83054 Commun. Math. Phys. 309, No. 1, 51-86 (2012). MSC: 83C57 83C25 83C40 83C22 35L05 81Q20 PDFBibTeX XMLCite \textit{R. Donninger} et al., Commun. Math. Phys. 309, No. 1, 51--86 (2012; Zbl 1242.83054) Full Text: DOI arXiv
Bouclet, Jean-Marc Low frequency estimates and local energy decay for asymptotically Euclidian Laplacians. (English) Zbl 1227.35227 Commun. Partial Differ. Equations 36, No. 7-9, 1239-1286 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35P25 47A40 81U05 PDFBibTeX XMLCite \textit{J.-M. Bouclet}, Commun. Partial Differ. Equations 36, No. 7--9, 1239--1286 (2011; Zbl 1227.35227) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. (English) Zbl 1205.83041 Adv. Math. 226, No. 1, 484-540 (2011). MSC: 83C57 83C05 83C25 35L05 PDFBibTeX XMLCite \textit{R. Donninger} et al., Adv. Math. 226, No. 1, 484--540 (2011; Zbl 1205.83041) 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
Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. (English) Zbl 1160.35056 J. Funct. Anal. 255, No. 9, 2321-2362 (2008). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P25 81Q20 PDFBibTeX XMLCite \textit{O. Costin} et al., J. Funct. Anal. 255, No. 9, 2321--2362 (2008; Zbl 1160.35056) Full Text: DOI arXiv