Christopher D. Sogge
- Decay estimates for Schrödinger operators
1991/07/01 by Jean-Lin Journé, J.‐L. Journé, A. Soffer +3 · 10 citations
Mathematics · #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems
- Riemannian manifolds with maximal eigenfunction growth
2002/09/15 by Christopher D. Sogge, Steve Zelditch · 7 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows
- Weighted Strichartz estimates and global existence for semilinear wave equations
1999/12/26 by V. Georgiev, Hans Lindblad, Christopher D. Sogge · 2 citations
Mathematics · #math.AP #msc:35L70
- Negative results for Nikodym maximal functions and related oscillatory integrals in curved space
1999/12/26 by William Minicozzi II, Christopher D. Sogge · 2 citations
Mathematics · #math.CA #msc:42
- Almost global existence for some semilinear wave equations
2001/08/02 by Markus Keel, Keel, Markus, Hart Smith +3 · 2 citations
Mathematics · #35L70 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L70
- Eigenfunction and Bochner Riesz estimates on manifolds with boundary
2002/02/04 by Christopher D. Sogge, Sogge, Christopher D. · 2 citations
Mathematics · #35L70 #42B99 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Analysis and Transform Methods #math.AP #math.CA #msc:35L70 #msc:42B99
- Refined and Microlocal Kakeya-Nikodym Bounds of Eigenfunctions in Higher Dimensions
2015/10/26 by Matthew D. Blair, Blair, Matthew D., Christopher D. Sogge +1 · 2 citations
Mathematics · #35P99 #42B37 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometry and complex manifolds
- Concerning Nikodym-type sets in 3-dimensional curved spaces
1999/12/26 by Christopher D. Sogge · 1 citation
Mathematics · #math.CA #msc:42B25
- On Global existence for nonlinear wave equations outside of convex obstacles
1999/12/26 by Marcus Keel, Hart Smith, Keel, Marcus +3 · 1 citation
Mathematics · #35L70 #42B99 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:35L70 #msc:42B99
- Nonlinear hyperbolic equations in infinite homogeneous waveguides
2004/11/23 by Jason Metcalfe, Metcalfe, Jason, Christopher D. Sogge +3 · 1 citation
Mathematics · #35L70 #42B99 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L70 #msc:42B99
- Quasimode, eigenfunction and spectral projection bounds for\n Schr "odinger operators on manifolds with critically singular potentials
2019/04/21 by Matthew D. Blair, Yannick Sire, Blair, Matthew D. +3 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics