Kernel estimates and \(L^p\)-spectral independence of generators of \(C_0\)-semigroups

DOI10.1016/j.jfa.2008.06.013zbMath1225.47043OpenAlexW2044971253MaRDI QIDQ957970

Hisakazu Shindoh

Publication date: 2 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.013

zbMATH Keywords

perturbationBanach algebraspectral mapping theoremintegral kernelpositive semigroupGaussian estimate\(L^p\)-spectrumfractional powers of an operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (1)

\(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional powers of closed operators and the semigroups generated by them
• Gaussian estimates of order \(\alpha\) and \(L^p\)-spectral independence of generators of \(C_{0}\)-semigroups
• The spectrum of a Schrödinger operator in \(L_ p({\mathbb{R}}^{\nu})\) is p-independent
• Absorption semigroups, their generators, and Schrödinger semigroups
• Brownian motion, \(L^p\) properties of Schrödinger operators and the localization of binding
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• Gaussian bounds for propagators perturbed by potentials
• Weighted norm estimates and L_p-spectral independence of linear operators
• One-Parameter Semigroups for Linear Evolution Equations
• Error Bounds for Stationary Phase Approximations
• Gaussian estimates for second-order operators with unbounded coefficients

This page was built for publication: Kernel estimates and \(L^p\)-spectral independence of generators of \(C_0\)-semigroups