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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.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 118 Publications since 1985, including 7 Books
all top 5

Serials

9 Mathematical Research Letters
6 American Journal of Mathematics
6 Duke Mathematical Journal
6 Inventiones Mathematicae
6 Journal of Functional Analysis
6 Communications in Partial Differential Equations
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Journal of the American Mathematical Society
3 Communications in Mathematical Physics
3 Journal d’Analyse Mathématique
3 Mathematische Annalen
3 The Journal of Geometric Analysis
3 Annals of Mathematics. Second Series
3 Cambridge Tracts in Mathematics
3 Analysis & PDE
2 Revista Matemática Iberoamericana
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 Tohoku Mathematical Journal. Second Series
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Forum Mathematicum
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
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

106 Publications have been cited 2,719 times in 1,391 Documents Cited by Year
Fourier integrals in classical analysis. Zbl 0783.35001
Sogge, Christopher D.
188
1993
On existence and scattering with minimal regularity for semilinear wave equations. Zbl 0846.35085
Lindblad, Hans; Sogge, Christopher D.
156
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.
128
1987
Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds. Zbl 0641.46011
Sogge, Christopher D.
112
1988
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D.
110
1997
Decay estimates for Schrödinger operators. Zbl 0743.35008
Journé, J.-L.; Soffer, A.; Sogge, C. D.
104
1991
Global Strichartz estimates for nontrapping perturbations of the Laplacian. Zbl 0972.35014
Smith, Hart F.; Sogge, Christopher D.
82
2000
Regularity properties of Fourier integral operators. Zbl 0754.58037
Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M.
78
1991
Lectures on nonlinear wave equations. Zbl 1089.35500
Sogge, Christopher D.
78
1995
Oscillatory integrals and spherical harmonics. Zbl 0636.42018
Sogge, Christopher D.
68
1986
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
67
1993
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
Lindblad, Hans; Sogge, Christopher D.
63
1996
Averages of functions over hypersurfaces in \(\mathbb R^n\). Zbl 0626.42009
Sogge, Christopher D.; Stein, Elias M.
58
1985
Almost global existence for some semilinear wave equations. Zbl 1031.35107
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
52
2002
Almost global existence for quasilinear wave equations in three space dimensions. Zbl 1055.35075
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
51
2004
Wave front sets, local smoothing and Bourgain’s circular maximal theorem. Zbl 0759.42016
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
45
1992
On the convergence of Riesz means on compact manifolds. Zbl 0653.35068
Sogge, Christopher D.
45
1987
Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052
Metcalfe, Jason; Sogge, Christopher D.
44
2006
Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001
Sogge, Christopher D.
41
2008
Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010
Sogge, Christopher D.; Zelditch, Steve
41
2002
The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators. Zbl 0678.35096
Christ, F. M.; Sogge, C. D.
38
1988
On the boundedness of functions of (pseudo-) differential operators on compact manifolds. Zbl 0698.35169
Seeger, A.; Sogge, C. D.
37
1989
Propagation of singularities and maximal functions in the plane. Zbl 0754.35004
Sogge, Christopher D.
34
1991
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
34
2010
Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001
Sogge, Christopher D.
33
2014
On the \(L^p\) norm of spectral clusters for compact manifolds with boundary. Zbl 1189.58017
Smith, Hart F.; Sogge, Christopher D.
32
2007
On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081
Smith, Hart F.; Sogge, Christopher D.
31
1995
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
31
2009
Global existence of null-form wave equations in exterior domains. Zbl 1138.35065
Metcalfe, Jason; Sogge, Christopher D.
29
2007
Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012
Sogge, Christopher D.
28
1990
Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
27
2002
Bounds for eigenfunctions of differential operators. Zbl 0703.35133
Seeger, A.; Sogge, C. D.
27
1989
Lower bounds on the Hausdorff measure of nodal sets. Zbl 1242.58017
Sogge, Christopher D.; Zelditch, Steve
25
2011
Hyperbolic trapped rays and global existence of quasilinear wave equations. Zbl 1077.35083
Metcalfe, Jason; Sogge, Christopher D.
24
2005
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
24
2014
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
22
2008
Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156
Sogge, Christopher D.
21
2011
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052
Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo
21
2012
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
20
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
19
2008
Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030
Sogge, Christopher D.; Wang, Chengbo
19
2010
Eigenfunction and Bochner Riesz estimates on manifolds with boundary. Zbl 1017.58016
Sogge, Christopher D.
18
2002
A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016
Sogge, C. D.
18
1990
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
18
2012
Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006
Schlag, Wilhelm; Sogge, Christopher D.
17
1997
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.
16
1990
Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133
Sogge, Christopher D.
15
2003
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
15
2012
On eigenfunction restriction estimates and \(L^4\)-bounds for compact surfaces with nonpositive curvature. Zbl 1307.58013
Sogge, Christopher D.; Zelditch, Steve
15
2014
Oscillatory integrals associated to folding canonical relations. Zbl 0746.58076
Pan, Yibiao; Sogge, Christopher D.
14
1990
Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions. Zbl 1185.35140
Metcalfe, Jason; Sogge, Christopher D.
13
2006
Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076
Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann
13
2005
Averages over hypersurfaces. II. Zbl 0656.42012
Sogge, Christopher D.; Stein, Elias M.
13
1986
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.
13
1988
Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005
Sogge, Christopher D.
13
2017
On Strichartz and eigenfunction estimates for low regularity metrics. Zbl 0832.35018
Smith, Hart F.; Sogge, Christopher D.
12
1994
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.
12
2005
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition. Zbl 1098.35112
Metcalfe, Jason; Nakamura, Makoto; Sogge, Christopher D.
12
2005
A note on unique continuation for Schrödinger’s operator. Zbl 0661.35056
Kenig, Carlos E.; Sogge, Christopher D.
12
1988
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
12
2018
Focal points and sup-norms of eigenfunctions. Zbl 1361.32011
Sogge, Christopher D.; Zelditch, Steve
12
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
12
2015
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016
Minicozzi, William P. II; Sogge, Christopher D.
11
1997
Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011
Sogge, Christopher D.
11
1995
Oscillatory integrals and unique continuation for second order elliptic differential equations. Zbl 0703.35027
Sogge, Christopher D.
11
1989
A few endpoint geodesic restriction estimates for eigenfunctions. Zbl 1293.58011
Chen, Xuehua; Sogge, Christopher D.
11
2014
A sharp restriction theorem for degenerate curves in \(R^ 2\). Zbl 0621.42009
Sogge, Christopher D.
9
1987
On integrals of eigenfunctions over geodesics. Zbl 1321.58023
Chen, Xuehua; Sogge, Christopher D.
9
2015
Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036
Sogge, Christopher D.
9
2016
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 Nikodym-type sets in 3-dimensional curved spaces. Zbl 0968.42016
Sogge, Christopher D.
8
1999
Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052
Huang, Shanlin; Sogge, Christopher D.
8
2014
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
8
2013
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314
Metcalfe, Jason; Sogge, Christopher D.
8
2010
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029
Blair, Matthew D.; Sogge, Christopher D.
7
2015
Concerning the \(L^4\) norms of typical eigenfunctions on compact surfaces. Zbl 1317.58035
Sogge, Christopher D.; Zelditch, Steve
7
2012
Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204
Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng
7
2017
Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014
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
\(L^ p\) regularity for the wave equation with strictly convex obstacles. Zbl 0805.35169
Smith, Hart F.; Sogge, Christopher D.
6
1994
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
6
2017
Uniqueness in Cauchy problems for hyperbolic differential operators. Zbl 0763.35012
Sogge, Christopher D.
5
1992
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
Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116
Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi
4
2016
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.
4
2020
\(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011
Journé, J. L.; Soffer, A.; Sogge, C. D.
3
1990
Averages over curves with torsion. Zbl 0934.42008
Oberlin, Daniel; Smith, Hart F.; Sogge, Christopher D.
3
1998
On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
3
2008
Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002
Sogge, Christopher D.
3
2008
On local existence for nonlinear wave equations satisfying variable coefficient null conditions. Zbl 0792.35125
Sogge, Christopher D.
3
1993
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.
3
2019
Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary. Zbl 1393.35016
Sogge, Christopher D.; Zelditch, Steve
3
2017
A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219
Sogge, Christopher D.; Zelditch, Steve
3
2016
On maximal functions associated to hypersurfaces and the Cauchy problem for strictly hyperbolic operators. Zbl 0653.42017
Sogge, Christopher D.
2
1987
Smoothing estimates for the wave equation and applications. Zbl 0901.35050
Sogge, Christopher D.
2
1995
Remarks on \(L^ 2\) restriction theorems for Riemannian manifolds. Zbl 0681.42009
Sogge, C. D.
2
1989
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
2
2019
Sobolev estimates for the wave operator on compact manifolds. Zbl 0799.35157
Jerison, D.; Sogge, C. D.; Zhou, Z.
1
1992
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.
4
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.
3
2019
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
2
2019
The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231
Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo
1
2019
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
12
2018
Fourier integrals in classical analysis. 2nd edition. Zbl 1361.35005
Sogge, Christopher D.
13
2017
Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem. Zbl 1377.35204
Sogge, Christopher D.; Xi, Yakun; Zhang, Cheng
7
2017
Improved critical eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1386.58014
Sogge, Christopher D.
7
2017
Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions. Zbl 1377.58026
Blair, Matthew D.; Sogge, Christopher D.
6
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
12
2016
Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière. Zbl 1331.58036
Sogge, Christopher D.
9
2016
Focal points and sup-norms of eigenfunctions II: the two-dimensional case. Zbl 1376.32011
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
4
2016
A note on \(L^p\)-norms of quasi-modes. Zbl 1364.35219
Sogge, Christopher D.; Zelditch, Steve
3
2016
Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces. Zbl 1364.58016
Miao, Changxing; Sogge, Christopher D.; Xi, Yakun; Yang, Jianwei
1
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
12
2015
On integrals of eigenfunctions over geodesics. Zbl 1321.58023
Chen, Xuehua; 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
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions. Zbl 1321.58029
Blair, Matthew D.; Sogge, Christopher D.
7
2015
Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1312.58001
Sogge, Christopher D.
33
2014
The Strauss conjecture on Kerr black hole backgrounds. Zbl 1295.35327
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo
24
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.
11
2014
Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature. Zbl 1303.53052
Huang, Shanlin; Sogge, Christopher D.
8
2014
Remarks on global solutions for nonlinear wave equations under the standard null conditions. Zbl 1262.35170
Lindblad, Hans; Nakamura, Makoto; Sogge, Christopher D.
8
2013
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications. Zbl 1246.35052
Smith, Hart F.; Sogge, Christopher D.; Wang, Chengbo
21
2012
A natural lower bound for the size of nodal sets. Zbl 1329.35224
Hezari, Hamid; Sogge, Christopher D.
18
2012
Lower bounds on the Hausdorff measure of nodal sets. II. Zbl 1283.58020
Sogge, Christopher D.; Zelditch, Steve
17
2012
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. Zbl 1262.58015
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D.
15
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
25
2011
Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. Zbl 1234.35156
Sogge, Christopher D.
21
2011
About the blowup of quasimodes on Riemannian manifolds. Zbl 1214.58012
Sogge, Christopher D.; Toth, John A.; Zelditch, Steve
20
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
34
2010
Concerning the wave equation on asymptotically Euclidean manifolds. Zbl 1231.35030
Sogge, Christopher D.; Wang, Chengbo
19
2010
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles. Zbl 1213.35314
Metcalfe, Jason; Sogge, Christopher D.
8
2010
Strichartz estimates for the wave equation on manifolds with boundary. Zbl 1198.58012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
31
2009
Lectures on nonlinear wave equations. 2nd ed. Zbl 1165.35001
Sogge, Christopher D.
41
2008
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary. Zbl 1169.35012
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
22
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
19
2008
On multilinear spectral cluster estimates for manifolds with boundary. Zbl 1146.58019
Blair, Matthew D.; Smith, Hart F.; Sogge, Christopher D.
3
2008
Fourier integrals in classical analysis. Paperback reprint of the hardback edition 1993. Zbl 1143.35002
Sogge, Christopher D.
3
2008
On the \(L^p\) norm of spectral clusters for compact manifolds with boundary. Zbl 1189.58017
Smith, Hart F.; Sogge, Christopher D.
32
2007
Global existence of null-form wave equations in exterior domains. Zbl 1138.35065
Metcalfe, Jason; Sogge, Christopher D.
29
2007
Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods. Zbl 1162.35052
Metcalfe, Jason; Sogge, Christopher D.
44
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.
24
2005
Nonlinear hyperbolic equations in infinite homogeneous waveguides. Zbl 1078.35076
Metcalfe, Jason; Sogge, Christopher D.; Stewart, Ann Ann
13
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.
12
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.
51
2004
Global existence for nonlinear wave equations with multiple speeds. Zbl 1052.35133
Sogge, Christopher D.
15
2003
Almost global existence for some semilinear wave equations. Zbl 1031.35107
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
52
2002
Riemannian manifolds with maximal eigenfunction growth. Zbl 1018.58010
Sogge, Christopher D.; Zelditch, Steve
41
2002
Global existence for a quasilinear wave equation outside of star-shaped domains. Zbl 1001.35087
Keel, Markus; Smith, Hart F.; Sogge, Christopher D.
27
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.
82
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.
1
2000
Concerning Nikodym-type sets in 3-dimensional curved spaces. Zbl 0968.42016
Sogge, Christopher D.
8
1999
Averages over curves with torsion. Zbl 0934.42008
Oberlin, Daniel; Smith, Hart F.; Sogge, Christopher D.
3
1998
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D.
110
1997
Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006
Schlag, Wilhelm; Sogge, Christopher D.
17
1997
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space. Zbl 0884.42016
Minicozzi, William P. II; Sogge, Christopher D.
11
1997
Long-time existence for small amplitude semilinear wave equations. Zbl 0869.35064
Lindblad, Hans; Sogge, Christopher D.
63
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.
156
1995
Lectures on nonlinear wave equations. Zbl 1089.35500
Sogge, Christopher D.
78
1995
On the critical semilinear wave equation outside convex obstacles. Zbl 0860.35081
Smith, Hart F.; Sogge, Christopher D.
31
1995
Maximal operators associated to hypersurfaces with one nonvanishing principal curvature. Zbl 0880.42011
Sogge, Christopher D.
11
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.
12
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.
188
1993
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates. Zbl 0776.58037
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
67
1993
On local existence for nonlinear wave equations satisfying variable coefficient null conditions. Zbl 0792.35125
Sogge, Christopher D.
3
1993
\(L^ p\) estimates for the wave equation and applications. Zbl 0796.35111
Sogge, Christopher D.
1
1993
Wave front sets, local smoothing and Bourgain’s circular maximal theorem. Zbl 0759.42016
Mockenhaupt, Gerd; Seeger, Andreas; Sogge, Christopher D.
45
1992
Uniqueness in Cauchy problems for hyperbolic differential operators. Zbl 0763.35012
Sogge, Christopher D.
5
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.
104
1991
Regularity properties of Fourier integral operators. Zbl 0754.58037
Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M.
78
1991
Propagation of singularities and maximal functions in the plane. Zbl 0754.35004
Sogge, Christopher D.
34
1991
Strong uniqueness theorems for second order elliptic differential equations. Zbl 0734.35012
Sogge, Christopher D.
28
1990
A unique continuation theorem for second order parabolic differential operators. Zbl 0704.35016
Sogge, C. D.
18
1990
Averages over hypersurfaces. Smoothness of generalized Radon transforms. Zbl 0695.42012
Sogge, C. D.; Stein, Elias M.
16
1990
Oscillatory integrals associated to folding canonical relations. Zbl 0746.58076
Pan, Yibiao; Sogge, Christopher D.
14
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.
37
1989
Bounds for eigenfunctions of differential operators. Zbl 0703.35133
Seeger, A.; Sogge, C. D.
27
1989
Oscillatory integrals and unique continuation for second order elliptic differential equations. Zbl 0703.35027
Sogge, Christopher D.
11
1989
Remarks on \(L^ 2\) restriction theorems for Riemannian manifolds. Zbl 0681.42009
Sogge, C. D.
2
1989
Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds. Zbl 0641.46011
Sogge, Christopher D.
112
1988
The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators. Zbl 0678.35096
Christ, F. M.; Sogge, C. D.
38
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.
13
1988
A note on unique continuation for Schrödinger’s operator. Zbl 0661.35056
Kenig, Carlos E.; Sogge, Christopher D.
12
1988
Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012
Kenig, C. E.; Ruiz, A.; Sogge, C. D.
128
1987
On the convergence of Riesz means on compact manifolds. Zbl 0653.35068
Sogge, Christopher D.
45
1987
...and 6 more Documents
all top 5

Cited by 1,159 Authors

55 Sogge, Christopher D.
24 Wang, Chengbo
21 Metcalfe, Jason L.
21 Seeger, Andreas
18 Lee, Sanghyuk
17 Smith, Hart F.
16 Burq, Nicolas
16 Kenig, Carlos Eduardo
16 Zhou, Yi
14 Hidano, Kunio
14 Schlag, Wilhelm
14 Tataru, Daniel
13 Cuccagna, Scipio
13 Iosevich, Alex
13 Seo, Ihyeok
13 Tzvetkov, Nikolay
12 Blair, Matthew D.
12 Goldberg, Michael Joseph
12 Lai, Ning-An
12 Merle, Frank
12 Ruzhansky, Michael V.
12 Soffer, Avraham
12 Toth, John Andrew
12 Zhang, Junyong
11 Han, Wei
11 Müller, Detlef
11 Planchon, Fabrice
11 Vega, Luis
11 Zelditch, Steve
11 Zha, Dongbing
10 D’Ancona, Piero
10 Green, William R.
10 Tao, Terence
10 Yao, Xiaohua
9 Fan, Dashan
9 Fang, Daoyuan
9 Kubo, Hideo
9 Miao, Changxing
9 Tohaneanu, Mihai
9 Witt, Ingo
9 Yin, Huicheng
9 Zaag, Hatem
9 Zheng, Jiqiang
8 Galkowski, Jeffrey
8 Hassell, Andrew
8 Kharibegashvili, S. S.
8 Sikora, Adam S.
8 Staubach, Wolfgang
8 Stein, Elias Menachem
8 Sugimoto, Mitsuru
8 Tacy, Melissa
8 Takamura, Hiroyuki
8 Wakasa, Kyouhei
8 Zhu, Jiuyi
7 Cuenin, Jean-Claude
7 D’Abbicco, Marcello
7 Donninger, Roland
7 Erdoğan, Mehmet Burak
7 Evéquoz, Gilles
7 Gerard, Patrick
7 Greenblatt, Michael
7 Katayama, Soichiro
7 Klainerman, Sergiu
7 Lawrie, Andrew G. W.
7 Lindblad, Hans
7 Mizutani, Haruya
6 Casarino, Valentina
6 Dodson, Benjamin G.
6 Frank, Rupert L.
6 Hong, Sunggeum
6 Ivanovici, Oana
6 Jleli, Mohamed
6 Koch, Herbert
6 Lebeau, Gilles
6 Manna, Ramesh
6 Marzuola, Jeremy L.
6 Nicola, Fabio
6 Ozawa, Tohru
6 Palmieri, Alessandro
6 Samet, Bessem
6 Taylor, Michael Eugene
6 Uhlmann, Gunther Alberto
6 Xi, Yakun
6 Yajima, Kenji
6 Yan, Lixin
6 Yang, Chan Woo
6 Zhou, Zhengfang
5 Canzani, Yaiza
5 Cowling, Michael G.
5 Dai, Feng
5 De Carli, Laura
5 Duyckaerts, Thomas
5 Escauriaza Zubiria, Luis
5 Feireisl, Eduard
5 Germain, Pierre
5 Han, Xiaolong
5 Heo, Yaryong
5 Hezari, Hamid
5 Ikromov, Isroil A.
5 Ionescu, Alexandru D.
...and 1,059 more Authors
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Cited in 209 Serials

89 Journal of Functional Analysis
83 Journal of Differential Equations
73 Communications in Partial Differential Equations
69 Journal of Mathematical Analysis and Applications
68 Transactions of the American Mathematical Society
67 Communications in Mathematical Physics
45 Proceedings of the American Mathematical Society
42 Duke Mathematical Journal
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Advances in Mathematics
31 The Journal of Geometric Analysis
29 Mathematische Annalen
28 The Journal of Fourier Analysis and Applications
20 Journal d’Analyse Mathématique
20 Mathematische Zeitschrift
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 Discrete and Continuous Dynamical Systems
18 Forum Mathematicum
17 Revista Matemática Iberoamericana
16 Journal of the American Mathematical Society
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Communications on Pure and Applied Analysis
13 Archive for Rational Mechanics and Analysis
13 Communications on Pure and Applied Mathematics
13 Journal of Mathematical Physics
13 Annales Henri Poincaré
12 Inventiones Mathematicae
12 Journal of the European Mathematical Society (JEMS)
12 Journal of Hyperbolic Differential Equations
11 Geometric and Functional Analysis. GAFA
11 SIAM Journal on Mathematical Analysis
10 Annales de l’Institut Fourier
10 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Calculus of Variations and Partial Differential Equations
8 Chinese Annals of Mathematics. Series B
8 Applied and Computational Harmonic Analysis
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mathematische Nachrichten
7 Bulletin of the American Mathematical Society. New Series
7 Analysis & PDE
6 Arkiv för Matematik
6 Acta Mathematica
6 Illinois Journal of Mathematics
6 Applied Mathematics Letters
6 Selecta Mathematica. New Series
6 Annals of Mathematics. Second Series
6 Communications in Contemporary Mathematics
5 Mathematical Methods in the Applied Sciences
5 Mathematical Notes
5 Nonlinearity
5 Integral Equations and Operator Theory
5 Journal of the Mathematical Society of Japan
5 Tohoku Mathematical Journal. Second Series
5 Annals of PDE
4 Israel Journal of Mathematics
4 Letters in Mathematical Physics
4 Reviews in Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Monatshefte für Mathematik
4 Bulletin des Sciences Mathématiques
4 Differential Equations
4 Science China. Mathematics
4 Analysis and Mathematical Physics
4 Bulletin of Mathematical Sciences
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Applicable Analysis
3 Inverse Problems
3 Mathematics of Computation
3 Applied Mathematics and Computation
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 Quarterly of Applied Mathematics
3 Annals of Global Analysis and Geometry
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 NoDEA. Nonlinear Differential Equations and Applications
3 Acta Mathematica Sinica. English Series
3 Journal of the Institute of Mathematics of Jussieu
3 Journal of Pseudo-Differential Operators and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Russian Mathematical Surveys
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Geometriae Dedicata
2 Glasgow Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Results in Mathematics
2 SIAM Journal on Numerical Analysis
2 Physica D
2 Science in China. Series A
2 International Journal of Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 109 more Serials
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Cited in 51 Fields

1,048 Partial differential equations (35-XX)
327 Harmonic analysis on Euclidean spaces (42-XX)
220 Global analysis, analysis on manifolds (58-XX)
133 Operator theory (47-XX)
95 Quantum theory (81-XX)
55 Functional analysis (46-XX)
53 Differential geometry (53-XX)
44 Abstract harmonic analysis (43-XX)
44 Fluid mechanics (76-XX)
38 Dynamical systems and ergodic theory (37-XX)
36 Number theory (11-XX)
32 Relativity and gravitational theory (83-XX)
27 Integral transforms, operational calculus (44-XX)
24 Topological groups, Lie groups (22-XX)
24 Special functions (33-XX)
24 Probability theory and stochastic processes (60-XX)
21 Mechanics of deformable solids (74-XX)
18 Measure and integration (28-XX)
16 Numerical analysis (65-XX)
16 Systems theory; control (93-XX)
14 Optics, electromagnetic theory (78-XX)
13 Ordinary differential equations (34-XX)
11 Functions of a complex variable (30-XX)
10 Approximations and expansions (41-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Real functions (26-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Potential theory (31-XX)
7 Mechanics of particles and systems (70-XX)
6 Integral equations (45-XX)
5 Algebraic geometry (14-XX)
4 Difference and functional equations (39-XX)
4 Convex and discrete geometry (52-XX)
4 Computer science (68-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Geometry (51-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
2 History and biography (01-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-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 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Biology and other natural sciences (92-XX)

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