Christopher D. Sogge

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 21 papers; trusts 28 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 51 citations into it; #1,148 of 7,620 by trust here, #904 by citations
• Mathematical Physics — 51 citations into it; #722 of 8,562 by trust here, #467 by citations
• Geometry and Topology — 13 citations into it
• Computational Theory and Mathematics — 12 citations into it; #3,041 of 12,182 by trust here, #3,117 by citations
• Control and Systems Engineering — 12 citations into it; #3,126 of 8,257 by trust here, #2,528 by citations
• Computational Mechanics — 5 citations into it

Whom Christopher D. Sogge trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. D. Tataru
2. Jason Metcalfe
3. Steve Zelditch
4. Hart F. Smith
5. A. Reznikov
6. Michael Christ
7. Markus Keel
8. Nicolas Burq
9. T. Colding
10. Jean Bourgain

Who trusts Christopher D. Sogge overall

1. Jason Metcalfe
2. Matthew D. Blair
3. Terence Tao
4. Y. Canzani
5. Steve Zelditch
6. Alexander Logunov
7. B. Dodson
8. Xuehua Chen
9. Philippe G. LeFloch
10. Michael Christ

Papers from Christopher D. Sogge's perspective

Ordered by how strongly the researchers Christopher D. Sogge trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the Lp norm of spectral clusters for compact manifolds with boundary
2. Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
3. Global existence for energy critical waves in 3-d domains
4. On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
5. Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle
6. Global parametrices and dispersive estimates for variable coefficient wave equations
7. Nonresonance and global existence of prestressed nonlinear elastic waves
8. Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
9. Weighted Strichartz estimates with angular regularity and their applications
10. Riemannian manifolds with maximal eigenfunction growth

Their papers

• Riemannian manifolds with maximal eigenfunction growth (2001) — 184 citations
• On eigenfunction restriction estimates and $L^4$-bounds for compact surfaces with nonpositive curvature (2011) — 55 citations
• Lower bounds on the Hausdorff measure of nodal sets II (2010) — 75 citations
• Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds (2018) — 56 citations
• Fourier Integrals in Classical Analysis by Christopher D. Sogge (2017) — 69 citations
• Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions (2015) — 53 citations
• Hangzhou lectures on eigenfunctions of the Laplacian (2014) — 143 citations
• Focal points and sup-norms of eigenfunctions (2013) — 53 citations
• A Few Endpoint Geodesic Restriction Estimates for Eigenfunctions (2012) — 47 citations
• A natural lower bound for the size of nodal sets (2011) — 52 citations
• Kakeya-Nikodym averages and $L^p$-norms of eigenfunctions (2009) — 69 citations
• Concerning the wave equation on asymptotically Euclidean manifolds (2008) — 51 citations
• On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles (2008) — 73 citations
• Strichartz estimates for the wave equation on manifolds with boundary (2008) — 132 citations
• Lectures on Non-Linear Wave Equations (2008) — 175 citations
• Global existence of null-form wave equations in exterior domains (2006) — 80 citations
• On the Lp norm of spectral clusters for compact manifolds with boundary (2006) — 115 citations
• Lectures on Nonlinear Wave Equations (2005) — 330 citations
• Hyperbolic trapped rays and global existence of quasilinear wave equations (2003) — 72 citations
• Global existence for nonlinear wave equations with multiple speeds (2002) — 53 citations