Christopher D. Sogge

Christopher D. Sogge's AcademicInfluence.com Rankings

Mathematics

#4803

World Rank

#6796

Historical Rank

#1626

USA Rank

Measure Theory

#2058

World Rank

#2495

Historical Rank

#605

USA Rank

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Mathematics

Christopher D. Sogge's Degrees

PhD Mathematics Princeton University

Why Is Christopher D. Sogge Influential?

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According to Wikipedia, Christopher Donald Sogge is an American mathematician. He is the J. J. Sylvester Professor of Mathematics at Johns Hopkins University and the editor-in-chief of the American Journal of Mathematics. His research concerns Fourier analysis and partial differential equations.

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Christopher D. Sogge's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Fourier Integrals in Classical Analysis (1993) (560)
On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations (1995) (444)
Concerning the Lp norm of spectral clusters for second-order elliptic operators on compact manifolds (1988) (362)
Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators (1987) (310)
Lectures on Nonlinear Wave Equations (2005) (301)
Decay estimates for Schrödinger operators (1991) (279)
Weighted Strichartz estimates and global existence for semilinear wave equations (1997) (262)
Regularity properties of Fourier integral operators (1991) (256)
Global strichartz estimates for nonthapping perturbations of the laplacian (1999) (224)
Oscillatory integrals and spherical harmonics (1986) (189)
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates (1993) (187)
Riemannian manifolds with maximal eigenfunction growth (2001) (156)
Lectures on Non-Linear Wave Equations (2008) (156)
STRONG UNIQUENESS THEOREMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS (1990) (156)
Wave front sets, local smoothing and Bourgain's circular maximal theorem (1992) (140)
Almost global existence for some semilinear wave equations (2001) (137)
Fourier integrals in classical analysis: Index (1993) (135)
Long-time existence for small amplitude semilinear wave equations (1996) (133)
Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods (2006) (108)
Propagation of singularities and maximal functions in the plane (1991) (107)
Hangzhou lectures on eigenfunctions of the Laplacian (2014) (105)
Almost global existence for quasilinear wave equations in three space dimensions (2001) (102)
Averages of functions over hypersurfaces in ℝn (1985) (100)
On the convergence of Riesz means on compact manifolds (1987) (100)
Strichartz estimates for the wave equation on manifolds with boundary (2008) (99)
On the critical semilinear wave equation outside convex obstacles (1995) (98)
On the Lp norm of spectral clusters for compact manifolds with boundary (2006) (95)
LOCAL SMOOTHING ESTIMATES RELATED TO THE CIRCULAR MAXIMAL THEOREM (1997) (93)
On the boundedness of functions of (pseudo-) differential operators on compact manifolds (1989) (80)
Lower bounds on the Hausdorff measure of nodal sets II (2010) (79)
Global existence of null-form wave equations in exterior domains (2006) (74)
The weak typeL1 convergence of eigenfunction expansions for pseudodifferential operators (1988) (71)
On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles (2008) (70)
About the Blowup of Quasimodes on Riemannian Manifolds (2009) (69)
Global Existence for a Quasilinear Wave Equation Outside of Star-Shaped Domains (2000) (68)
On Strichartz estimates for Schrödinger operators in compact manifolds with boundary (2006) (68)
Kakeya-Nikodym averages and $L^p$-norms of eigenfunctions (2009) (63)
Hyperbolic trapped rays and global existence of quasilinear wave equations (2003) (60)
On Strichartz and eigenfunction estimates for low regularity metrics (1994) (55)
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary (2010) (53)
The Strauss conjecture on Kerr black hole backgrounds (2013) (53)
Eigenfunction and Bochner Riesz estimates on manifolds with boundary (2002) (52)
Global existence for nonlinear wave equations with multiple speeds (2002) (51)
A natural lower bound for the size of nodal sets (2011) (50)
A unique continuation theorem for second order parabolic differential operators (1990) (49)
Concerning the wave equation on asymptotically Euclidean manifolds (2008) (46)
On eigenfunction restriction estimates and $L^4$-bounds for compact surfaces with nonpositive curvature (2011) (45)
Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions (2007) (45)
Oscillatory integrals associated to folding canonical relations (1990) (45)
Averages over hypersurfaces smoothness of generalized Radon transforms (1990) (44)
Focal points and sup-norms of eigenfunctions (2013) (42)
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications (2010) (41)
Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms (1988) (39)
A Few Endpoint Geodesic Restriction Estimates for Eigenfunctions (2012) (38)
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space (1999) (37)
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions (2015) (36)
Oscillatory integrals and unique continuation for second order elliptic differential equations (1989) (35)
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition (2004) (34)
On Kakeya-Nikodym averages, $L^p$-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions (2013) (33)
Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds (2018) (32)
On $L^p$-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds (2012) (31)
On integrals of eigenfunctions over geodesics (2013) (29)
Remarks on global solutions for nonlinear wave equations under the standard null conditions (2012) (29)
Fourier Integrals in Classical Analysis by Christopher D. Sogge (2017) (29)
Localized $L^p$-estimates of eigenfunctions: A note on an article of Hezari and Rivi\`ere (2015) (29)
Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions (2014) (29)
$L^p$ regularity for the wave equation with strictly convex obstacles (1994) (28)
On Lp-Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds (2012) (27)
A note on unique continuation for Schrödinger’s operator (1988) (26)
Problems related to the concentration of eigenfunctions (2015) (26)
Refined and Microlocal Kakeya–Nikodym Bounds of Eigenfunctions in Higher Dimensions (2017) (25)
Restriction theorems and semilinear Klein-Gordon equations in $(1+3)$-dimensions (1996) (24)
Improved critical eigenfunction estimates on manifolds of nonpositive curvature (2015) (24)
Concerning the L4 norms of typical eigenfunctions on compact surfaces (2010) (24)
Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem (2016) (24)
Lectures On Non-Linear Wave Equations, Second Edition By Christopher D. Sogge (Johns Hopkins University) (2015) (23)
Global Existence for Dirichlet-wave Equations with Quadratic Nonlinearities in High Dimensions (2004) (23)
Addendum to "Lower bounds on the Hausdorff measure of nodal sets" (2012) (23)
Concerning Nikodym-type sets in 3-dimensional curved spaces (1999) (23)
Logarithmic improvements in $$L^{p}$$Lp bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature (2017) (22)
Nonlinear Hyperbolic Equations in Infinite Homogeneous Waveguides (2004) (21)
Quasimode, Eigenfunction and Spectral Projection Bounds for Schrödinger Operators on Manifolds with Critically Singular Potentials (2019) (21)
Concerning $L^p$ resolvent estimates for simply connected manifolds of constant curvature (2014) (19)
Averages over hypersurfaces: II (1986) (19)
Lower bounds for interior nodal sets of Steklov eigenfunctions (2015) (18)
Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains (2004) (18)
A SHARP RESTRICTION THEOREM FOR DEGENERATE CURVES IN R2 (1987) (17)
AVERAGES OVER CURVES WITH TORSION (1999) (17)
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles (2009) (16)
Sharp Local Smoothing Estimates for Fourier Integral Operators (2018) (16)
On local existence for nonlinear wave equations satisfying variable coefficient null conditions (1993) (16)
A note on $L^p$-norms of quasi-modes (2014) (13)
Focal points and sup-norms of eigenfunctions II: the two-dimensional case (2016) (13)
On global existence for nonlinear wave equations outside of convex obstacles (1999) (13)
$L^p \to L^{p'}$ estimates for time-dependent Schrödinger operators (1990) (12)
$L^p$ estimates for the wave equation and applications (1993) (12)
Lectures on eigenfunctions of the Laplacian (2008) (11)
ON MULTILINEAR SPECTRAL CLUSTER ESTIMATES FOR MANIFOLDS WITH BOUNDARY (2006) (11)
Approximating pointwise products of Laplacian eigenfunctions (2018) (10)
Fourier integrals in classical analysis: Fourier Integral Operators (1993) (9)
Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary (2014) (8)
Strichartz estimates and the nonlinear Schr\"odinger equation in exterior domains (2010) (8)
Weyl formulae for Schrödinger operators with critically singular potentials (2020) (8)
Uniform Sobolev estimates on compact manifolds involving singular potentials (2020) (8)
Uniqueness in Cauchy problems for hyperbolic differential operators (1992) (8)
Null form estimates for $(1/2,1/2)$ symbols and local existence for a quasilinear dirichlet-wave equation (1999) (7)
The Strauss conjecture on negatively curved backgrounds (2018) (7)
Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature (2014) (6)
Quasimode and Strichartz estimates for time-dependent Schrödinger equations with singular potentials (2020) (6)
Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds (2019) (5)
Uniform Sobolev Estimates in RRR n Involving Singular Potentials (2021) (4)
Bilinear Kakeya–Nikodym averages of eigenfunctions on compact Riemannian surfaces (2016) (4)
On the almost everywhere convergence to ^{} data for higher order hyperbolic operators (1987) (3)
Localized $L^p$-estimates for eigenfunctions: II (2016) (3)
On maximal functions associated to hypersurfaces and the Cauchy problem for strictly hyperbolic operators (1987) (3)
About small-power semilinear wave equations (1996) (3)
Focal points and sup-norms of eigenfunctions on analytic Riemannian manifolds II: the two-dimensional case (2014) (3)
On Instability of the Nikodym Maximal Function Bounds over Riemannian Manifolds (2017) (3)
On the $L^1$ behavior of eigenfunction expansions and singular integral operators (1987) (3)
Smoothing Estimates for the Wave Equation and Applications (1995) (3)
Sobolev Estimates for the Wave Operator on compact Manifolds (1992) (2)
ESTIMATES FOR THE DIRICHLET-WAVE EQUATION AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) (2003) (1)
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications (2021) (1)
Uniform Sobolev estimates in $\mathbb{R}^{n}$ involving singular potentials (2021) (1)
Improved spectral projection estimates (2022) (1)
Fourier integral operators and nonlinear wave equations (1997) (1)
Fourier integrals in classical analysis: Appendix: Lagrangian Subspaces of T *IR n (1993) (0)
6. Classical and quantum ergodicity (2014) (0)
1. A review: The Laplacian and the d'Alembertian (2014) (0)
Strichartz estimates for the Schr\"odinger equation on negatively curved compact manifolds (2023) (0)
Fourier integrals in classical analysis: Bibliography (1993) (0)
WARSZAWA 1997 FOURIER INTEGRAL OPERATORS AND NONLINEAR WAVE EQUATIONS (2011) (0)
Analysis at Urbana: Remarks on L2 restriction theorems for Riemann manifolds (1989) (0)
WARSZAWA 1997 FOURIER INTEGRAL OPERATORS AND NONLINEAR WAVE EQUATIONS (2011) (0)
Fourier integrals in classical analysis: Lp Estimates of Eigenfunctions (1993) (0)
5. Improved spectral asymptotics and periodic geodesics (2014) (0)
Propagation of Singularities and Refined Estimates (2017) (0)
Fourier integrals in classical analysis: Stationary Phase (1993) (0)
Fourier integrals in classical analysis: Local Smoothing of Fourier Integral Operators (1993) (0)
The Strauss Conjecture on Black Holes (2013) (0)
Fourier integrals in classical analysis: Non-homogeneous Oscillatory Integral Operators (1993) (0)
3. The sharp Weyl formula (2014) (0)
estimates for the wave equation and applications (2017) (0)
Uniform Sobolev Estimates in $$\pmb {\mathbb {R}}^{n}$$ R n Involving Singular Potent (2022) (0)
A Few Endpoint Geodesic Restriction Estimates for Eigenfunctions (2014) (0)
Fourier integrals in classical analysis: Background (1993) (0)
4. Stationary phase and microlocal analysis (2014) (0)
Recent Advances in Harmonic Analysis and Partial Differential Equations in Contemporary Mathematics (2012) (0)
The Strauss conjecture on Kerr black hole backgrounds (2014) (0)
On Instability of the Nikodym Maximal Function Bounds over Riemannian Manifolds (2017) (0)
Product Manifolds with Improved Spectral Cluster and Weyl Remainder Estimates (2022) (0)
Elias M. Stein (1931–2018) (2021) (0)
In Memoriam: Jean Bourgain and Elias M. Stein (2019) (0)
Pseudo-differential Operators (2017) (0)
On Lp-Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds (2014) (0)
2. Geodesics and the Hadamard parametrix (2014) (0)
Refined and Microlocal Kakeya–Nikodym Bounds of Eigenfunctions in Higher Dimensions (2017) (0)
Kakeya-type Maximal Operators (2017) (0)
N ov 2 00 6 GLOBAL EXISTENCE OF NULL-FORM WAVE EQUATIONS IN EXTERIOR DOMAINS (2019) (0)
Fourier integrals in classical analysis: Preface (1993) (0)
In Memoriam: Steve Zelditch 1953–2022 (2022) (0)
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary (2011) (0)
ON RESTRICTION THEOREMS OF MAXIMAL-TYPE (1986) (0)
Fourier integrals in classical analysis: The Half-wave Operator and Functions of Pseudo-differential Operators (1993) (0)
Editorial (2020) (0)

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