Heat Kernel Estimates and L P Spectral Independence of Elliptic Operators

DOI10.1112/S0024609398005530zbMath0927.47028OpenAlexW2088519718MaRDI QIDQ4265910

Peer Christian Kunstmann

Publication date: 1999

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609398005530

zbMATH Keywords

elliptic operatorsGaussian estimates\(L^p\)-spectrumweighted \(L^p\)-spacessubexponential growth conditionupper heat kernel estimate

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10)

Related Items

Maximal parabolic regularity for divergence operators including mixed boundary conditions ⋮ \(L^p\) spectral theory and heat dynamics of locally symmetric spaces ⋮ The spectrum and heat dynamics of locally symmetric spaces of higher rank ⋮ Gaussian estimates of order \(\alpha\) and \(L^p\)-spectral independence of generators of \(C_{0}\)-semigroups ⋮ Approximate solutions to second-order parabolic equations: evolution systems and discretization ⋮ \(L_p\)-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ Rescaled Objective Solutions of Fokker--Planck and Boltzmann equations ⋮ Moving plane methods for systems on half spaces ⋮ Gaussian bounds for higher-order elliptic differential operators with Kato type potentials ⋮ Maximal \(L^{p}\)-regularity for the Laplacian on Lipschitz domains ⋮ On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV poten\-tials ⋮ Dirichlet problems on varying domains.

This page was built for publication: Heat Kernel Estimates and L ^P Spectral Independence of Elliptic Operators