Edit Profile (opens in new tab) Sogge, Christopher D. Co-Author Distance Author ID: sogge.christopher-d Published as: Sogge, Christopher D.; Sogge, C. D.; Sogge, Christopher; Sogge, Chris D.; Sogge, Chris more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 130 Publications since 1985, including 6 Books and 6 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Co-Authors: 57 Co-Authors with 96 Joint Publications 1,982 Co-Co-Authors all top 5 Co-Authors 36 single-authored 17 Smith, Hart F. 13 Blair, Matthew D. 11 Metcalfe, Jason L. 11 Zelditch, Steve 7 Huang, Xiaoqi 7 Lindblad, Hans 6 Wang, Chengbo 5 Seeger, Andreas 5 Sire, Yannick 4 Keel, Markus 4 Kenig, Carlos Eduardo 4 Stein, Elias Menachem 3 Nakamura, Makoto 3 Xi, Yakun 2 Beltran, David 2 Chen, Xuehua 2 Christ, Michael 2 Fefferman, Charles Louis 2 Hickman, Jonathan 2 Journé, Jean-Lin 2 Lanzani, Loredana 2 Minicozzi, William Philip II 2 Mockenhaupt, Gerd 2 Nagel, Alexander 2 Phong, Duong Hong 2 Pierce, Lillian B. 2 Ricci, Fulvio 2 Ruiz, Alberto 2 Soffer, Avraham 2 Tao, Terence 2 Wainger, Stephen 2 Zhang, Junyong 2 Zhou, Yi 1 Barceló, Bartolomé 1 Beckner, William 1 Bourgain, Jean 1 Christ, F. M. 1 Dafni, Galia 1 Du, Yi 1 Georgiev, Vladimir S. 1 Hezari, Hamid 1 Hidano, Kunio 1 Huang, Shanlin 1 Ionescu, Alex 1 Ionescu, Alexandru D. 1 Jerison, David S. 1 Kearn, Vickie 1 Knapp, Anthony William 1 Krantz, Steven George 1 Lu, Jianfeng 1 Magyar, Akos 1 Miao, Changxing 1 Mirek, Mariusz 1 Nahmod, Andrea R. 1 Oberlin, Daniel M. 1 Pan, Yibiao 1 Rothschild, Linda Preiss 1 Schlag, Wilhelm 1 Shahidi, Freydoon 1 Shakarchi, Rami 1 Shao, Peng 1 Shokurov, Vyacheslav Vladimirovich 1 Stein, Jeremy C. 1 Stein, Karen 1 Steinerberger, Stefan 1 Stewart, Ann Ann 1 Street, Brian 1 Taylor, Michael Eugene 1 Tohaneanu, Mihai 1 Toth, John Andrew 1 Wang, Xing 1 Widom, Harold 1 Xu, Hang 1 Yang, Jianwei 1 Yao, Xiaohua 1 Zhang, Cheng 1 Zhang, Xiaoyi 1 Zheng, Shijun 1 Zhou, Zhengfang 1 Zhu, Jiuyi all top 5 Serials 10 Mathematical Research Letters 8 Communications in Partial Differential Equations 7 American Journal of Mathematics 6 Duke Mathematical Journal 6 Inventiones Mathematicae 6 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Journal of the American Mathematical Society 4 The Journal of Geometric Analysis 3 Communications in Mathematical Physics 3 Journal d’Analyse Mathématique 3 Mathematische Annalen 3 Revista Matemática Iberoamericana 3 Annals of Mathematics. Second Series 3 Cambridge Tracts in Mathematics 3 Analysis & PDE 2 Bulletin of the American Mathematical Society. New Series 2 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Japanese Journal of Mathematics. New Series 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Forum Mathematicum 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Journal of the European Mathematical Society (JEMS) 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Cambridge Journal of Mathematics all top 5 Fields 105 Partial differential equations (35-XX) 57 Global analysis, analysis on manifolds (58-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 9 Operator theory (47-XX) 7 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 3,679 times in 1,871 Documents Cited by ▼ Year ▼ Fourier integrals in classical analysis. Zbl 0783.35001 Sogge, Christopher D. 233 1993 On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085 Lindblad, Hans; Sogge, Christopher D. 195 1995 Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012 Kenig, C. E.; Ruiz, A.; Sogge, C. D. 167 1987 Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075 Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D. 144 1997 Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds. Zbl 0641.46011 Sogge, Christopher D. 142 1988 Decay estimates for Schrödinger operators. Zbl 0743.35008 Journé, J.-L.; Soffer, A.; Sogge, C. D. 127 1991 Regularity properties of Fourier integral operators. Zbl 0754.58037 Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M. 125 1991 Lectures on nonlinear wave equations. Zbl 1089.35500 Sogge, Christopher D. 107 1995 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014 Smith, Hart F.; Sogge, Christopher D. 101 2000 Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037 Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D. 91 1993 Oscillatory integrals and spherical harmonics. Zbl 0636.42018 Sogge, Christopher D. 81 1986 Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064 Lindblad, Hans; Sogge, Christopher D. 77 1996 Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001 Sogge, Christopher D. 77 2008 Wave front sets, local smoothing and Bourgain’s circular maximal theorem. Zbl 0759.42016 Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D. 68 1992 Averages of functions over hypersurfaces in \(\mathbb R^n\). Zbl 0626.42009 Sogge, Christopher D.; Stein, Elias M. 67 1985 Almost global existence for some semilinear wave equations. Zbl 1031.35107 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 67 2002 Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005 Sogge, Christopher D. 59 2017 Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052 Metcalfe, Jason; Sogge, Christopher D. 57 2006 Almost global existence for quasilinear wave equations in three space dimensions. Zbl 1055.35075 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 57 2004 Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010 Sogge, Christopher D.; Zelditch, Steve 56 2002 Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012 Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D. 56 2009 Propagation of singularities and maximal functions in the plane. Zbl 0754.35004 Sogge, Christopher D. 54 1991 On the convergence of Riesz means on compact manifolds. Zbl 0653.35068 Sogge, Christopher D. 52 1987 Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001 Sogge, Christopher D. 50 2014 On the boundedness of functions of (pseudo-) differential operators on compact manifolds. Zbl 0698.35169 Seeger, A.; Sogge, C. D. 44 1989 On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles. Zbl 1193.35100 Hidano, Kunio; Metcalfe, Jason; Smith, Hart F.; Sogge, Christopher D.; Zhou, Yi 43 2010 On the \(L^p\) norm of spectral clusters for compact manifolds with boundary. Zbl 1189.58017 Smith, Hart F.; Sogge, Christopher D. 43 2007 The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators. Zbl 0678.35096 Christ, F. M.; Sogge, C. D. 41 1988 On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081 Smith, Hart F.; Sogge, Christopher D. 40 1995 Global existence of null-form wave equations in exterior domains. Zbl 1138.35065 Metcalfe, Jason; Sogge, Christopher D. 40 2007 Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006 Schlag, Wilhelm; Sogge, Christopher D. 35 1997 Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 32 2002 The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327 Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo 32 2014 Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017 Sogge, Christopher D.; Zelditch, Steve 32 2011 Hyperbolic trapped rays and global existence of quasilinear wave equations. Zbl 1077.35083 Metcalfe, Jason; Sogge, Christopher D. 31 2005 Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012 Sogge, Christopher D. 30 1990 Bounds for eigenfunctions of differential operators. Zbl 0703.35133 Seeger, A.; Sogge, C. D. 29 1989 On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012 Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D. 29 2008 About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012 Sogge, Christopher D.; Toth, John A.; Zelditch, Steve 28 2011 Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156 Sogge, Christopher D. 27 2011 Concerning the Strauss conjecture and almost global existence for nonlinear Dirichlet-wave equations in 4-dimensions. Zbl 1209.35083 Du, Yi; Metcalfe, Jason; Sogge, Christopher D.; Zhou, Yi 27 2008 Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052 Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo 26 2012 Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030 Sogge, Christopher D.; Wang, Chengbo 25 2010 Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015 Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D. 24 2012 A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016 Sogge, C. D. 23 1990 Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133 Sogge, Christopher D. 23 2003 On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds. Zbl 1396.58025 Bourgain, Jean; Shao, Peng; Sogge, Christopher D.; Yao, Xiaohua 22 2015 Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 21 2020 Eigenfunction and Bochner Riesz estimates on manifolds with boundary. Zbl 1017.58016 Sogge, Christopher D. 20 2002 A natural lower bound for the size of nodal sets. Zbl 1329.35224 Hezari, Hamid; Sogge, Christopher D. 20 2012 Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016 Minicozzi, William P. II; Sogge, Christopher D. 19 1997 Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011 Sogge, Christopher D. 19 1995 Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains. Zbl 1149.35055 Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D. 18 2005 Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076 Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann 18 2005 Averages over hypersurfaces. Smoothness of generalized Radon transforms. Zbl 0695.42012 Sogge, C. D.; Stein, Elias M. 17 1990 On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013 Sogge, Christopher D.; Zelditch, Steve 17 2014 On Strichartz and eigenfunction estimates for low regularity metrics. Zbl 0832.35018 Smith, Hart F.; Sogge, Christopher D. 17 1994 Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020 Sogge, Christopher D.; Zelditch, Steve 17 2012 Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016 Blair, Matthew D.; Sogge, Christopher D. 16 2018 Focal points and sup-norms of eigenfunctions. Zbl 1361.32011 Sogge, Christopher D.; Zelditch, Steve 16 2016 A few endpoint geodesic restriction estimates for eigenfunctions. Zbl 1293.58011 Chen, Xuehua; Sogge, Christopher D. 16 2014 Oscillatory integrals associated to folding canonical relations. Zbl 0746.58076 Pan, Yibiao; Sogge, Christopher D. 16 1990 Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition. Zbl 1098.35112 Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D. 15 2005 Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms. Zbl 0689.35015 Barcelo, B.; Kenig, C. E.; Ruiz, A.; Sogge, C. D. 15 1988 On integrals of eigenfunctions over geodesics. Zbl 1321.58023 Chen, Xuehua; Sogge, Christopher D. 15 2015 Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170 Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D. 15 2013 Oscillatory integrals and unique continuation for second order elliptic differential equations. Zbl 0703.35027 Sogge, Christopher D. 14 1989 A note on unique continuation for Schrödinger’s operator. Zbl 0661.35056 Kenig, Carlos E.; Sogge, Christopher D. 14 1988 Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036 Sogge, Christopher D. 13 2016 Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204 Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng 13 2017 Logarithmic improvements in \(L^{p}\) bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature. Zbl 1428.35248 Blair, Matthew D.; Sogge, Christopher D. 13 2019 Averages over hypersurfaces. II. Zbl 0656.42012 Sogge, Christopher D.; Stein, Elias M. 13 1986 Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions. Zbl 1185.35140 Metcalfe, Jason; Sogge, Christopher D. 13 2006 Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314 Metcalfe, Jason; Sogge, Christopher D. 13 2010 On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions. Zbl 1330.58023 Blair, Matthew D.; Sogge, Christopher D. 11 2015 Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052 Huang, Shanlin; Sogge, Christopher D. 11 2014 Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029 Blair, Matthew D.; Sogge, Christopher D. 11 2015 Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014 Sogge, Christopher D. 10 2017 Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026 Blair, Matthew D.; Sogge, Christopher D. 9 2017 Concerning Nikodym-type sets in 3-dimensional curved spaces. Zbl 0968.42016 Sogge, Christopher D. 9 1999 A sharp restriction theorem for degenerate curves in \(R^ 2\). Zbl 0621.42009 Sogge, Christopher D. 9 1987 Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116 Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi 8 2016 Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011 Sogge, Christopher D.; Zelditch, Steve 8 2016 Restriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensions. Zbl 0865.35077 Lindblad, Hans; Sogge, Christopher D. 8 1996 Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035 Sogge, Christopher D.; Zelditch, Steve 7 2012 Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002 Sogge, Christopher D. 7 2008 Sharp local smoothing estimates for Fourier integral operators. Zbl 1494.42013 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 7 2021 Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257 Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. 7 2021 A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219 Sogge, Christopher D.; Zelditch, Steve 6 2016 On global existence for nonlinear wave equations outside of convex obstacles. Zbl 0957.35088 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 6 2000 Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228 Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan 6 2019 \(L^ p\) regularity for the wave equation with strictly convex obstacles. Zbl 0805.35169 Smith, Hart F.; Sogge, Christopher D. 6 1994 Uniqueness in Cauchy problems for hyperbolic differential operators. Zbl 0763.35012 Sogge, Christopher D. 6 1992 Averages over curves with torsion. Zbl 0934.42008 Oberlin, Daniel; Smith, Hart F.; Sogge, Christopher D. 5 1998 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011 Journé, J. L.; Soffer, A.; Sogge, C. D. 5 1990 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001 Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 5 2020 On local existence for nonlinear wave equations satisfying variable coefficient null conditions. Zbl 0792.35125 Sogge, Christopher D. 4 1993 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021 Huang, Xiaoqi; Sogge, Christopher D. 4 2021 On instability of the Nikodym maximal function bounds over Riemannian manifolds. Zbl 1440.42091 Sogge, Christopher D.; Xi, Yakun; Xu, Hang 3 2018 \(L^ p\) estimates for the wave equation and applications. Zbl 0796.35111 Sogge, Christopher D. 3 1993 Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials. Zbl 1483.35055 Huang, Xiaoqi; Sogge, Christopher D. 3 2022 Quasimode and Strichartz estimates for time-dependent Schrödinger equations with singular potentials. Zbl 1503.35049 Huang, Xiaoqi; Sogge, Christopher D. 3 2022 Uniform Sobolev estimates on compact manifolds involving singular potentials. Zbl 1493.58013 Blair, Matthew D.; Huang, Xiaoqi; Sire, Yannick; Sogge, Christopher D. 2 2022 Sharp local smoothing estimates for Fourier integral operators. Zbl 1494.42013 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 7 2021 Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257 Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. 7 2021 Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021 Huang, Xiaoqi; Sogge, Christopher D. 4 2021 Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 21 2020 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001 Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 5 2020 Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds. Zbl 07269819 Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo; Zhang, Junyong 1 2020 Logarithmic improvements in \(L^{p}\) bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature. Zbl 1428.35248 Blair, Matthew D.; Sogge, Christopher D. 13 2019 Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228 Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan 6 2019 The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231 Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo 3 2019 Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016 Blair, Matthew D.; Sogge, Christopher D. 16 2018 On instability of the Nikodym maximal function bounds over Riemannian manifolds. Zbl 1440.42091 Sogge, Christopher D.; Xi, Yakun; Xu, Hang 3 2018 Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005 Sogge, Christopher D. 59 2017 Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204 Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng 13 2017 Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014 Sogge, Christopher D. 10 2017 Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026 Blair, Matthew D.; Sogge, Christopher D. 9 2017 Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary. Zbl 1393.35016 Sogge, Christopher D.; Zelditch, Steve 3 2017 Localized \(L^p\)-estimates for eigenfunctions. II. Zbl 1390.58019 Sogge, Christopher D. 1 2017 Focal points and sup-norms of eigenfunctions. Zbl 1361.32011 Sogge, Christopher D.; Zelditch, Steve 16 2016 Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036 Sogge, Christopher D. 13 2016 Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116 Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi 8 2016 Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011 Sogge, Christopher D.; Zelditch, Steve 8 2016 A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219 Sogge, Christopher D.; Zelditch, Steve 6 2016 Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces. Zbl 1364.58016 Miao, Changxing; Sogge, Christopher D.; Xi, Yakun; Yang, Jianwei 2 2016 On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds. Zbl 1396.58025 Bourgain, Jean; Shao, Peng; Sogge, Christopher D.; Yao, Xiaohua 22 2015 On integrals of eigenfunctions over geodesics. Zbl 1321.58023 Chen, Xuehua; Sogge, Christopher D. 15 2015 On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions. Zbl 1330.58023 Blair, Matthew D.; Sogge, Christopher D. 11 2015 Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029 Blair, Matthew D.; Sogge, Christopher D. 11 2015 Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001 Sogge, Christopher D. 50 2014 The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327 Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo 32 2014 On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013 Sogge, Christopher D.; Zelditch, Steve 17 2014 A few endpoint geodesic restriction estimates for eigenfunctions. Zbl 1293.58011 Chen, Xuehua; Sogge, Christopher D. 16 2014 Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052 Huang, Shanlin; Sogge, Christopher D. 11 2014 Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170 Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D. 15 2013 Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052 Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo 26 2012 Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015 Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D. 24 2012 A natural lower bound for the size of nodal sets. Zbl 1329.35224 Hezari, Hamid; Sogge, Christopher D. 20 2012 Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020 Sogge, Christopher D.; Zelditch, Steve 17 2012 Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035 Sogge, Christopher D.; Zelditch, Steve 7 2012 Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017 Sogge, Christopher D.; Zelditch, Steve 32 2011 About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012 Sogge, Christopher D.; Toth, John A.; Zelditch, Steve 28 2011 Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156 Sogge, Christopher D. 27 2011 On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles. Zbl 1193.35100 Hidano, Kunio; Metcalfe, Jason; Smith, Hart F.; Sogge, Christopher D.; Zhou, Yi 43 2010 Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030 Sogge, Christopher D.; Wang, Chengbo 25 2010 Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314 Metcalfe, Jason; Sogge, Christopher D. 13 2010 Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012 Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D. 56 2009 Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001 Sogge, Christopher D. 77 2008 On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012 Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D. 29 2008 Concerning the Strauss conjecture and almost global existence for nonlinear Dirichlet-wave equations in 4-dimensions. Zbl 1209.35083 Du, Yi; Metcalfe, Jason; Sogge, Christopher D.; Zhou, Yi 27 2008 Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002 Sogge, Christopher D. 7 2008 On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019 Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D. 3 2008 Lectures on eigenfunctions of the Laplacian. Zbl 1170.35071 Sogge, Christopher D. 1 2008 On the \(L^p\) norm of spectral clusters for compact manifolds with boundary. Zbl 1189.58017 Smith, Hart F.; Sogge, Christopher D. 43 2007 Global existence of null-form wave equations in exterior domains. Zbl 1138.35065 Metcalfe, Jason; Sogge, Christopher D. 40 2007 Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052 Metcalfe, Jason; Sogge, Christopher D. 57 2006 Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions. Zbl 1185.35140 Metcalfe, Jason; Sogge, Christopher D. 13 2006 Hyperbolic trapped rays and global existence of quasilinear wave equations. Zbl 1077.35083 Metcalfe, Jason; Sogge, Christopher D. 31 2005 Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains. Zbl 1149.35055 Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D. 18 2005 Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076 Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann 18 2005 Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition. Zbl 1098.35112 Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D. 15 2005 Almost global existence for quasilinear wave equations in three space dimensions. Zbl 1055.35075 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 57 2004 Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133 Sogge, Christopher D. 23 2003 Almost global existence for some semilinear wave equations. Zbl 1031.35107 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 67 2002 Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010 Sogge, Christopher D.; Zelditch, Steve 56 2002 Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 32 2002 Eigenfunction and Bochner Riesz estimates on manifolds with boundary. Zbl 1017.58016 Sogge, Christopher D. 20 2002 Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014 Smith, Hart F.; Sogge, Christopher D. 101 2000 On global existence for nonlinear wave equations outside of convex obstacles. Zbl 0957.35088 Keel, Markus; Smith, Hart F.; Sogge, Christopher D. 6 2000 Null form estimates for \((1/2,1/2)\) symbols and local existence for a quasilinear Dirichlet-wave equation. Zbl 1016.35008 Smith, Hart F.; Sogge, Christopher D. 2 2000 Concerning Nikodym-type sets in 3-dimensional curved spaces. Zbl 0968.42016 Sogge, Christopher D. 9 1999 Averages over curves with torsion. Zbl 0934.42008 Oberlin, Daniel; Smith, Hart F.; Sogge, Christopher D. 5 1998 Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075 Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D. 144 1997 Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006 Schlag, Wilhelm; Sogge, Christopher D. 35 1997 Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016 Minicozzi, William P. II; Sogge, Christopher D. 19 1997 Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064 Lindblad, Hans; Sogge, Christopher D. 77 1996 Restriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensions. Zbl 0865.35077 Lindblad, Hans; Sogge, Christopher D. 8 1996 On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085 Lindblad, Hans; Sogge, Christopher D. 195 1995 Lectures on nonlinear wave equations. Zbl 1089.35500 Sogge, Christopher D. 107 1995 On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081 Smith, Hart F.; Sogge, Christopher D. 40 1995 Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011 Sogge, Christopher D. 19 1995 Smoothing estimates for the wave equation and applications. Zbl 0901.35050 Sogge, Christopher D. 2 1995 On Strichartz and eigenfunction estimates for low regularity metrics. Zbl 0832.35018 Smith, Hart F.; Sogge, Christopher D. 17 1994 \(L^ p\) regularity for the wave equation with strictly convex obstacles. Zbl 0805.35169 Smith, Hart F.; Sogge, Christopher D. 6 1994 Fourier integrals in classical analysis. Zbl 0783.35001 Sogge, Christopher D. 233 1993 Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037 Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D. 91 1993 On local existence for nonlinear wave equations satisfying variable coefficient null conditions. Zbl 0792.35125 Sogge, Christopher D. 4 1993 \(L^ p\) estimates for the wave equation and applications. Zbl 0796.35111 Sogge, Christopher D. 3 1993 Wave front sets, local smoothing and Bourgain’s circular maximal theorem. Zbl 0759.42016 Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D. 68 1992 Uniqueness in Cauchy problems for hyperbolic differential operators. Zbl 0763.35012 Sogge, Christopher D. 6 1992 Sobolev estimates for the wave operator on compact manifolds. Zbl 0799.35157 Jerison, D.; Sogge, C. D.; Zhou, Z. 1 1992 Decay estimates for Schrödinger operators. Zbl 0743.35008 Journé, J.-L.; Soffer, A.; Sogge, C. D. 127 1991 Regularity properties of Fourier integral operators. Zbl 0754.58037 Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M. 125 1991 Propagation of singularities and maximal functions in the plane. Zbl 0754.35004 Sogge, Christopher D. 54 1991 Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012 Sogge, Christopher D. 30 1990 A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016 Sogge, C. D. 23 1990 Averages over hypersurfaces. Smoothness of generalized Radon transforms. Zbl 0695.42012 Sogge, C. D.; Stein, Elias M. 17 1990 Oscillatory integrals associated to folding canonical relations. Zbl 0746.58076 Pan, Yibiao; Sogge, Christopher D. 16 1990 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011 Journé, J. L.; Soffer, A.; Sogge, C. D. 5 1990 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,493 Authors 62 Sogge, Christopher D. 32 Lee, Sanghyuk 29 Wang, Chengbo 27 Metcalfe, Jason L. 27 Seeger, Andreas 20 Tataru, Daniel 19 Zhou, Yi 18 Kenig, Carlos Eduardo 18 Tzvetkov, Nikolay 17 Burq, Nicolas 17 Hidano, Kunio 17 Iosevich, Alex 17 Ruzhansky, Michael V. 17 Smith, Hart F. 17 Zhang, Junyong 16 Cuccagna, Scipio 15 Han, Wei 15 Lai, Ningan 15 Miao, Changxing 15 Seo, Ihyeok 15 Soffer, Avraham 15 Yao, Xiaohua 14 D’Ancona, Piero 14 Goldberg, Michael Joseph 14 Schlag, Wilhelm 14 Zha, Dongbing 13 Blair, Matthew D. 13 Fan, Dashan 13 Green, William R. 13 Merle, Frank 13 Müller, Detlef 13 Planchon, Fabrice 13 Xi, Yakun 13 Yin, Huicheng 13 Zelditch, Steve 13 Zheng, Jiqiang 12 Dong, Shijie 12 Jleli, Mohamed Boussairi 12 Samet, Bessem 12 Toth, John Andrew 11 Cuenin, Jean-Claude 11 Galkowski, Jeffrey 11 Hassell, Andrew 11 Mizutani, Haruya 11 Oh, Tadahiro 11 Staubach, Wolfgang 11 Vega, Luis 11 Yan, Lixin 10 Dodson, Benjamin G. 10 Fang, Daoyuan 10 Germain, Pierre 10 Ivanovici, Oana 10 Kubo, Hideo 10 Manna, Ramesh 10 Palmieri, Alessandro 10 Rozendaal, Jan 10 Tacy, Melissa 10 Tao, Terence 10 Tohaneanu, Mihai 10 Witt, Ingo 10 Zhu, Jiuyi 9 Canzani, Yaiza 9 D’Abbicco, Marcello 9 Duyckaerts, Thomas 9 Erdoğan, Mehmet Burak 9 Gerard, Patrick 9 Huang, Xiaoqi 9 Lawrie, Andrew G. W. 9 Marzuola, Jeremy Louis 9 Shen, Ruipeng 9 Wakasa, Kyouhei 9 Zaag, Hatem 9 Zhang, Cheng 8 Chen, Jiecheng 8 Donninger, Roland 8 Ebert, Marcelo Rempel 8 Hickman, Jonathan 8 Ikromov, Isroil A. 8 Kharibegashvili, S. S. 8 Koch, Herbert 8 Kwon, Yehyun 8 Lebeau, Gilles 8 Martini, Alessio 8 Schippa, Robert 8 Sikora, Adam 8 Stein, Elias Menachem 8 Sugimoto, Mitsuru 8 Takamura, Hiroyuki 8 Wyman, Emmett L. 7 Beltran, David 7 Casarino, Valentina 7 Evéquoz, Gilles 7 Frank, Rupert L. 7 Greenblatt, Michael 7 Han, Xiaolong 7 Jeong, Eunhee 7 Katayama, Soichiro 7 Klainerman, Sergiu 7 Lindblad, Hans 7 Liu, Bochen ...and 1,393 more Authors all top 5 Cited in 268 Serials 113 Journal of Functional Analysis 107 Journal of Differential Equations 82 Communications in Partial Differential Equations 81 Communications in Mathematical Physics 78 Journal of Mathematical Analysis and Applications 73 Transactions of the American Mathematical Society 53 Nonlinear Analysis. Theory, Methods & Applications. 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Analysis and Computations 5 Classical and Quantum Gravity 5 Israel Journal of Mathematics 5 Letters in Mathematical Physics 5 Applied Mathematics and Optimization 5 Indiana University Mathematics Journal 5 Integral Equations and Operator Theory 5 Potential Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 5 Bulletin des Sciences Mathématiques 5 Mediterranean Journal of Mathematics 5 Journal of Spectral Theory 5 Bulletin of Mathematical Sciences 4 Inverse Problems 4 American Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Memoirs of the American Mathematical Society 4 Monatshefte für Mathematik 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Mathematical Sciences (New York) 4 Differential Equations 4 Nonlinear Analysis. Real World Applications 4 Journal of the Institute of Mathematics of Jussieu 4 Oberwolfach Reports 4 Journal de l’École Polytechnique – Mathématiques 3 Russian Mathematical Surveys 3 Studia Mathematica 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Functional Analysis and its Applications 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Pacific Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series ...and 168 more Serials all top 5 Cited in 54 Fields 1,438 Partial differential equations (35-XX) 457 Harmonic analysis on Euclidean spaces (42-XX) 292 Global analysis, analysis on manifolds (58-XX) 172 Operator theory (47-XX) 128 Quantum theory (81-XX) 72 Functional analysis (46-XX) 65 Differential geometry (53-XX) 59 Dynamical systems and ergodic theory (37-XX) 58 Abstract harmonic analysis (43-XX) 55 Fluid mechanics (76-XX) 53 Probability theory and stochastic processes (60-XX) 50 Number theory (11-XX) 47 Relativity and gravitational theory (83-XX) 34 Topological groups, Lie groups (22-XX) 33 Integral transforms, operational calculus (44-XX) 28 Measure and integration (28-XX) 27 Special functions (33-XX) 25 Mechanics of deformable solids (74-XX) 25 Systems theory; control (93-XX) 22 Numerical analysis (65-XX) 20 Optics, electromagnetic theory (78-XX) 17 Real functions (26-XX) 16 Ordinary differential equations (34-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Functions of a complex variable (30-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Approximations and expansions (41-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Integral equations (45-XX) 9 Potential theory (31-XX) 9 Mechanics of particles and systems (70-XX) 8 General and overarching topics; collections (00-XX) 8 Convex and discrete geometry (52-XX) 7 Difference and functional equations (39-XX) 6 Combinatorics (05-XX) 6 Algebraic geometry (14-XX) 6 Computer science (68-XX) 5 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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