Uniform resolvent estimates on manifolds of bounded curvature

DOI10.1007/s12220-020-00390-6zbMath1500.58011OpenAlexW3011986784MaRDI QIDQ2050521

Hart F. Smith

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00390-6

zbMATH Keywords

resolventwave equationStrichartz estimates

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Hyperbolic equations on manifolds (58J45)

Related Items (1)

From spectral cluster to uniform resolvent estimates on compact manifolds

Cites Work

• Convergence and rigidity of manifolds under Ricci curvature bounds
• On the parabolic kernel of the Schrödinger operator
• Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
• Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature
• Spectral multipliers for Markov chains
• On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds
• Uniform Sobolev Resolvent Estimates for the Laplace–Beltrami Operator on Compact Manifolds
• On L^p resolvent estimates for Laplace–Beltrami operators on compact manifolds
• Spectral cluster estimates for C 1,1 metrics
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• From Semiclassical Strichartz Estimates to Uniform $L^p$ Resolvent Estimates on Compact Manifolds
• Newton polygons as lattice points
• Finiteness Theorems for Riemannian Manifolds

This page was built for publication: Uniform resolvent estimates on manifolds of bounded curvature