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Sogge, Christopher D.

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Author ID: sogge.christopher-d Recent zbMATH articles by "Sogge, Christopher D."
Published as: Sogge, Christopher D.; Sogge, C. D.; Sogge, Christopher; Sogge, Chris D.
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Serials

10 Mathematical Research Letters
8 Communications in Partial Differential Equations
6 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

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 3,110 times in 1,595 Documents Cited by Year
Fourier integrals in classical analysis. Zbl 0783.35001
Sogge, Christopher D.
201
1993
On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085
Lindblad, Hans; Sogge, Christopher D.
177
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.
151
1987
Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds. Zbl 0641.46011
Sogge, Christopher D.
126
1988
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D.
125
1997
Decay estimates for Schrödinger operators. Zbl 0743.35008
Journé, J.-L.; Soffer, A.; Sogge, C. D.
117
1991
Regularity properties of Fourier integral operators. Zbl 0754.58037
Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M.
97
1991
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
89
2000
Lectures on nonlinear wave equations. Zbl 1089.35500
Sogge, Christopher D.
84
1995
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
76
1993
Oscillatory integrals and spherical harmonics. Zbl 0636.42018
Sogge, Christopher D.
75
1986
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
Lindblad, Hans; Sogge, Christopher D.
70
1996
Averages of functions over hypersurfaces in \(\mathbb R^n\). Zbl 0626.42009
Sogge, Christopher D.; Stein, Elias M.
60
1985
Wave front sets, local smoothing and Bourgain’s circular maximal theorem. Zbl 0759.42016
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
56
1992
Almost global existence for some semilinear wave equations. Zbl 1031.35107
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
55
2002
Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001
Sogge, Christopher D.
52
2008
Almost global existence for quasilinear wave equations in three space dimensions. Zbl 1055.35075
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
52
2004
On the convergence of Riesz means on compact manifolds. Zbl 0653.35068
Sogge, Christopher D.
50
1987
Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052
Metcalfe, Jason; Sogge, Christopher D.
46
2006
Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010
Sogge, Christopher D.; Zelditch, Steve
44
2002
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
44
2009
Propagation of singularities and maximal functions in the plane. Zbl 0754.35004
Sogge, Christopher D.
43
1991
Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001
Sogge, Christopher D.
43
2014
On the boundedness of functions of (pseudo-) differential operators on compact manifolds. Zbl 0698.35169
Seeger, A.; Sogge, C. D.
41
1989
The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators. Zbl 0678.35096
Christ, F. M.; Sogge, C. D.
40
1988
On the \(L^p\) norm of spectral clusters for compact manifolds with boundary. Zbl 1189.58017
Smith, Hart F.; Sogge, Christopher D.
37
2007
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
36
2010
On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081
Smith, Hart F.; Sogge, Christopher D.
36
1995
Global existence of null-form wave equations in exterior domains. Zbl 1138.35065
Metcalfe, Jason; Sogge, Christopher D.
33
2007
Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005
Sogge, Christopher D.
32
2017
Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012
Sogge, Christopher D.
29
1990
Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
28
2002
Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017
Sogge, Christopher D.; Zelditch, Steve
28
2011
Bounds for eigenfunctions of differential operators. Zbl 0703.35133
Seeger, A.; Sogge, C. D.
28
1989
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
28
2014
Hyperbolic trapped rays and global existence of quasilinear wave equations. Zbl 1077.35083
Metcalfe, Jason; Sogge, Christopher D.
26
2005
Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006
Schlag, Wilhelm; Sogge, Christopher D.
25
1997
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
25
2008
Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156
Sogge, Christopher D.
24
2011
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
23
2011
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052
Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo
22
2012
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
22
2008
Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030
Sogge, Christopher D.; Wang, Chengbo
21
2010
A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016
Sogge, C. D.
20
1990
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
19
2012
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
19
2012
Eigenfunction and Bochner Riesz estimates on manifolds with boundary. Zbl 1017.58016
Sogge, Christopher D.
18
2002
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
18
2015
Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020
Sogge, Christopher D.; Zelditch, Steve
17
2012
Averages over hypersurfaces. Smoothness of generalized Radon transforms. Zbl 0695.42012
Sogge, C. D.; Stein, Elias M.
17
1990
Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133
Sogge, Christopher D.
16
2003
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016
Minicozzi, William P. II; Sogge, Christopher D.
15
1997
Oscillatory integrals associated to folding canonical relations. Zbl 0746.58076
Pan, Yibiao; Sogge, Christopher D.
15
1990
On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013
Sogge, Christopher D.; Zelditch, Steve
15
2014
A note on unique continuation for Schrödinger’s operator. Zbl 0661.35056
Kenig, Carlos E.; Sogge, Christopher D.
14
1988
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.
14
1988
Oscillatory integrals and unique continuation for second order elliptic differential equations. Zbl 0703.35027
Sogge, Christopher D.
14
1989
A few endpoint geodesic restriction estimates for eigenfunctions. Zbl 1293.58011
Chen, Xuehua; Sogge, Christopher D.
14
2014
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.
13
2020
Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions. Zbl 1185.35140
Metcalfe, Jason; Sogge, Christopher D.
13
2006
Averages over hypersurfaces. II. Zbl 0656.42012
Sogge, Christopher D.; Stein, Elias M.
13
1986
Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011
Sogge, Christopher D.
13
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.
13
2005
Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076
Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann
13
2005
Focal points and sup-norms of eigenfunctions. Zbl 1361.32011
Sogge, Christopher D.; Zelditch, Steve
13
2016
On Strichartz and eigenfunction estimates for low regularity metrics. Zbl 0832.35018
Smith, Hart F.; Sogge, Christopher D.
13
1994
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
13
2018
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition. Zbl 1098.35112
Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D.
12
2005
Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036
Sogge, Christopher D.
11
2016
On integrals of eigenfunctions over geodesics. Zbl 1321.58023
Chen, Xuehua; Sogge, Christopher D.
11
2015
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
11
2013
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314
Metcalfe, Jason; Sogge, Christopher D.
10
2010
A sharp restriction theorem for degenerate curves in \(R^ 2\). Zbl 0621.42009
Sogge, Christopher D.
9
1987
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029
Blair, Matthew D.; Sogge, Christopher D.
9
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.
9
2015
Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052
Huang, Shanlin; Sogge, Christopher D.
9
2014
Concerning Nikodym-type sets in 3-dimensional curved spaces. Zbl 0968.42016
Sogge, Christopher D.
9
1999
Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204
Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng
8
2017
Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014
Sogge, Christopher D.
8
2017
Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035
Sogge, Christopher D.; Zelditch, Steve
7
2012
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.
7
2019
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
7
2017
Restriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensions. Zbl 0865.35077
Lindblad, Hans; Sogge, Christopher D.
6
1996
Uniqueness in Cauchy problems for hyperbolic differential operators. Zbl 0763.35012
Sogge, Christopher D.
6
1992
\(L^ p\) regularity for the wave equation with strictly convex obstacles. Zbl 0805.35169
Smith, Hart F.; Sogge, Christopher D.
6
1994
On global existence for nonlinear wave equations outside of convex obstacles. Zbl 0957.35088
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
5
2000
Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011
Sogge, Christopher D.; Zelditch, Steve
5
2016
A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219
Sogge, Christopher D.; Zelditch, Steve
5
2016
Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116
Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi
5
2016
Averages over curves with torsion. Zbl 0934.42008
Oberlin, Daniel; Smith, Hart F.; Sogge, Christopher D.
4
1998
Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002
Sogge, Christopher D.
4
2008
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.
4
2021
On local existence for nonlinear wave equations satisfying variable coefficient null conditions. Zbl 0792.35125
Sogge, Christopher D.
4
1993
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
4
2019
\(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011
Journé, J. L.; Soffer, A.; Sogge, C. D.
3
1990
On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
3
2008
\(L^ p\) estimates for the wave equation and applications. Zbl 0796.35111
Sogge, Christopher D.
3
1993
Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary. Zbl 1393.35016
Sogge, Christopher D.; Zelditch, Steve
3
2017
The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231
Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo
2
2019
On maximal functions associated to hypersurfaces and the Cauchy problem for strictly hyperbolic operators. Zbl 0653.42017
Sogge, Christopher D.
2
1987
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.
4
2021
Sharp local smoothing estimates for Fourier integral operators. Zbl 1494.42013
Beltran, David; Hickman, Jonathan; Sogge, Christopher D.
2
2021
Weyl formulae for Schrödinger operators with critically singular potentials. Zbl 1477.58021
Huang, Xiaoqi; Sogge, Christopher D.
1
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.
13
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
Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen
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.
7
2019
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
4
2019
The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231
Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo
2
2019
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
13
2018
On instability of the Nikodym maximal function bounds over Riemannian manifolds. Zbl 1440.42091
Sogge, Christopher D.; Xi, Yakun; Xu, Hang
2
2018
Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005
Sogge, Christopher D.
32
2017
Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204
Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng
8
2017
Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014
Sogge, Christopher D.
8
2017
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
7
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
13
2016
Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036
Sogge, Christopher D.
11
2016
Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011
Sogge, Christopher D.; Zelditch, Steve
5
2016
A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219
Sogge, Christopher D.; Zelditch, Steve
5
2016
Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116
Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi
5
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
18
2015
On integrals of eigenfunctions over geodesics. Zbl 1321.58023
Chen, Xuehua; 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.
9
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.
9
2015
Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001
Sogge, Christopher D.
43
2014
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
28
2014
On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013
Sogge, Christopher D.; Zelditch, Steve
15
2014
A few endpoint geodesic restriction estimates for eigenfunctions. Zbl 1293.58011
Chen, Xuehua; Sogge, Christopher D.
14
2014
Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052
Huang, Shanlin; Sogge, Christopher D.
9
2014
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
11
2013
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052
Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo
22
2012
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
19
2012
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
19
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
28
2011
Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156
Sogge, Christopher D.
24
2011
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
23
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
36
2010
Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030
Sogge, Christopher D.; Wang, Chengbo
21
2010
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314
Metcalfe, Jason; Sogge, Christopher D.
10
2010
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
44
2009
Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001
Sogge, Christopher D.
52
2008
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
25
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
22
2008
Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002
Sogge, Christopher D.
4
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.
37
2007
Global existence of null-form wave equations in exterior domains. Zbl 1138.35065
Metcalfe, Jason; Sogge, Christopher D.
33
2007
Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052
Metcalfe, Jason; Sogge, Christopher D.
46
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.
26
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.
13
2005
Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076
Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann
13
2005
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition. Zbl 1098.35112
Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D.
12
2005
Almost global existence for quasilinear wave equations in three space dimensions. Zbl 1055.35075
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
52
2004
Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133
Sogge, Christopher D.
16
2003
Almost global existence for some semilinear wave equations. Zbl 1031.35107
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
55
2002
Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010
Sogge, Christopher D.; Zelditch, Steve
44
2002
Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
28
2002
Eigenfunction and Bochner Riesz estimates on manifolds with boundary. Zbl 1017.58016
Sogge, Christopher D.
18
2002
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
89
2000
On global existence for nonlinear wave equations outside of convex obstacles. Zbl 0957.35088
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
5
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.
4
1998
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D.
125
1997
Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006
Schlag, Wilhelm; Sogge, Christopher D.
25
1997
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016
Minicozzi, William P. II; Sogge, Christopher D.
15
1997
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
Lindblad, Hans; Sogge, Christopher D.
70
1996
Restriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensions. Zbl 0865.35077
Lindblad, Hans; Sogge, Christopher D.
6
1996
On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085
Lindblad, Hans; Sogge, Christopher D.
177
1995
Lectures on nonlinear wave equations. Zbl 1089.35500
Sogge, Christopher D.
84
1995
On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081
Smith, Hart F.; Sogge, Christopher D.
36
1995
Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011
Sogge, Christopher D.
13
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.
13
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.
201
1993
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
76
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.
56
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.
117
1991
Regularity properties of Fourier integral operators. Zbl 0754.58037
Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M.
97
1991
Propagation of singularities and maximal functions in the plane. Zbl 0754.35004
Sogge, Christopher D.
43
1991
Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012
Sogge, Christopher D.
29
1990
A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016
Sogge, C. D.
20
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.
15
1990
\(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011
Journé, J. L.; Soffer, A.; Sogge, C. D.
3
1990
On the boundedness of functions of (pseudo-) differential operators on compact manifolds. Zbl 0698.35169
Seeger, A.; Sogge, C. D.
41
1989
Bounds for eigenfunctions of differential operators. Zbl 0703.35133
Seeger, A.; Sogge, C. D.
28
1989
Oscillatory integrals and unique continuation for second order elliptic differential equations. Zbl 0703.35027
Sogge, Christopher D.
14
1989
...and 13 more Documents
all top 5

Cited by 1,286 Authors

62 Sogge, Christopher D.
27 Wang, Chengbo
25 Seeger, Andreas
24 Lee, Sanghyuk
22 Metcalfe, Jason L.
17 Burq, Nicolas
17 Kenig, Carlos Eduardo
17 Smith, Hart F.
16 Tzvetkov, Nikolay
16 Zhang, Junyong
16 Zhou, Yi
15 Cuccagna, Scipio
15 Hidano, Kunio
15 Tataru, Daniel
14 Iosevich, Alex
14 Ruzhansky, Michael V.
14 Schlag, Wilhelm
14 Seo, Ihyeok
13 Blair, Matthew D.
13 D’Ancona, Piero
13 Goldberg, Michael Joseph
13 Lai, Ningan
13 Merle, Frank
13 Soffer, Avraham
12 Green, William R.
12 Planchon, Fabrice
12 Toth, John Andrew
12 Yao, Xiaohua
12 Zha, Dongbing
12 Zheng, Jiqiang
11 Fan, Dashan
11 Han, Wei
11 Müller, Detlef
11 Vega, Luis
11 Yin, Huicheng
11 Zelditch, Steve
10 Fang, Daoyuan
10 Miao, Changxing
10 Mizutani, Haruya
10 Oh, Tadahiro
10 Tao, Terence
10 Tohaneanu, Mihai
10 Witt, Ingo
9 Duyckaerts, Thomas
9 Erdoğan, Mehmet Burak
9 Hassell, Andrew
9 Kubo, Hideo
9 Manna, Ramesh
9 Palmieri, Alessandro
9 Staubach, Wolfgang
9 Wakasa, Kyouhei
9 Zaag, Hatem
9 Zhu, Jiuyi
8 Cuenin, Jean-Claude
8 D’Abbicco, Marcello
8 Dodson, Benjamin G.
8 Galkowski, Jeffrey
8 Gerard, Patrick
8 Hickman, Jonathan
8 Ivanovici, Oana
8 Kharibegashvili, S. S.
8 Lawrie, Andrew G. W.
8 Sikora, Adam S.
8 Stein, Elias Menachem
8 Sugimoto, Mitsuru
8 Tacy, Melissa
8 Takamura, Hiroyuki
8 Yan, Lixin
8 Zhang, Cheng
7 Beltran, David
7 Casarino, Valentina
7 Dong, Shijie
7 Donninger, Roland
7 Evéquoz, Gilles
7 Germain, Pierre
7 Greenblatt, Michael
7 Huang, Xiaoqi
7 Jleli, Mohamed Boussairi
7 Katayama, Soichiro
7 Klainerman, Sergiu
7 Koch, Herbert
7 Kwon, Yehyun
7 Lebeau, Gilles
7 Lindblad, Hans
7 Marzuola, Jeremy Louis
7 Ratnakumar, P. K.
7 Samet, Bessem
7 Xi, Yakun
6 Canzani, Yaiza
6 Chen, Jiecheng
6 Chen, Peng
6 Ciatti, Paolo
6 Ebert, Marcelo Rempel
6 Escauriaza Zubiria, Luis
6 Frank, Rupert L.
6 Han, Xiaolong
6 Hong, Sunggeum
6 Ikromov, Isroil A.
6 Mandel, Rainer
6 Martini, Alessio
...and 1,186 more Authors
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Cited in 242 Serials

100 Journal of Functional Analysis
90 Journal of Differential Equations
80 Communications in Partial Differential Equations
73 Journal of Mathematical Analysis and Applications
71 Communications in Mathematical Physics
68 Transactions of the American Mathematical Society
49 Proceedings of the American Mathematical Society
48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
44 Duke Mathematical Journal
40 Advances in Mathematics
35 The Journal of Fourier Analysis and Applications
34 Mathematische Annalen
34 The Journal of Geometric Analysis
26 Mathematische Zeitschrift
21 Journal d’Analyse Mathématique
21 Discrete and Continuous Dynamical Systems
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
20 Communications on Pure and Applied Analysis
19 Revista Matemática Iberoamericana
19 Forum Mathematicum
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Journal of the American Mathematical Society
16 Annales Henri Poincaré
15 SIAM Journal on Mathematical Analysis
15 Analysis & PDE
14 Journal of Mathematical Physics
13 Archive for Rational Mechanics and Analysis
13 Communications on Pure and Applied Mathematics
13 Inventiones Mathematicae
12 Annales de l’Institut Fourier
12 Journal of the European Mathematical Society (JEMS)
12 Journal of Hyperbolic Differential Equations
11 Geometric and Functional Analysis. GAFA
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Chinese Annals of Mathematics. Series B
9 Calculus of Variations and Partial Differential Equations
8 Applied and Computational Harmonic Analysis
7 Mathematische Nachrichten
7 Bulletin of the American Mathematical Society. New Series
7 Analysis and Mathematical Physics
6 Arkiv för Matematik
6 Reviews in Mathematical Physics
6 Acta Mathematica
6 Illinois Journal of Mathematics
6 Journal of the Mathematical Society of Japan
6 Tôhoku Mathematical Journal. Second Series
6 Applied Mathematics Letters
6 Selecta Mathematica. New Series
6 Annals of Mathematics. Second Series
6 Acta Mathematica Sinica. English Series
6 Communications in Contemporary Mathematics
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Letters in Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 Mathematical Notes
5 Nonlinearity
5 Integral Equations and Operator Theory
5 Annals of PDE
5 Pure and Applied Analysis
4 Applicable Analysis
4 Israel Journal of Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Monatshefte für Mathematik
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Bulletin des Sciences Mathématiques
4 Differential Equations
4 Journal of the Institute of Mathematics of Jussieu
4 Science China. Mathematics
4 Journal of Pseudo-Differential Operators and Applications
4 Bulletin of Mathematical Sciences
4 Forum of Mathematics, Sigma
4 Journal de l’École Polytechnique – Mathématiques
3 Inverse Problems
3 Mathematics of Computation
3 Applied Mathematics and Computation
3 Applied Mathematics and Optimization
3 Archiv der Mathematik
3 Functional Analysis and its Applications
3 Indiana University Mathematics Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Quarterly of Applied Mathematics
3 Results in Mathematics
3 Annals of Global Analysis and Geometry
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Potential Analysis
3 NoDEA. Nonlinear Differential Equations and Applications
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Mediterranean Journal of Mathematics
3 Journal of Spectral Theory
3 Séminaire Laurent Schwartz. EDP et Applications
3 Tunisian Journal of Mathematics
2 Classical and Quantum Gravity
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Russian Mathematical Surveys
...and 142 more Serials
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Cited in 53 Fields

1,212 Partial differential equations (35-XX)
386 Harmonic analysis on Euclidean spaces (42-XX)
251 Global analysis, analysis on manifolds (58-XX)
146 Operator theory (47-XX)
109 Quantum theory (81-XX)
64 Functional analysis (46-XX)
57 Differential geometry (53-XX)
51 Abstract harmonic analysis (43-XX)
46 Number theory (11-XX)
46 Fluid mechanics (76-XX)
45 Dynamical systems and ergodic theory (37-XX)
35 Relativity and gravitational theory (83-XX)
34 Probability theory and stochastic processes (60-XX)
29 Topological groups, Lie groups (22-XX)
28 Integral transforms, operational calculus (44-XX)
25 Special functions (33-XX)
25 Mechanics of deformable solids (74-XX)
22 Measure and integration (28-XX)
20 Numerical analysis (65-XX)
20 Systems theory; control (93-XX)
19 Optics, electromagnetic theory (78-XX)
14 Ordinary differential equations (34-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Functions of a complex variable (30-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Approximations and expansions (41-XX)
10 Real functions (26-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Integral equations (45-XX)
7 Potential theory (31-XX)
7 Mechanics of particles and systems (70-XX)
5 General and overarching topics; collections (00-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Difference and functional equations (39-XX)
5 Computer science (68-XX)
4 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 Geometry (51-XX)
3 Statistics (62-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-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)

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