Gaussian estimates of order \(\alpha\) and \(L^p\)-spectral independence of generators of \(C_{0}\)-semigroups

DOI10.1007/S11117-006-0046-1zbMath1120.47031OpenAlexW2014522869MaRDI QIDQ882830

Hisakazu Shindoh, Shizuo Miyajima

Publication date: 24 May 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-0046-1

zbMATH Keywords

resolventintegral kernelpositive semigroupGaussian estimate

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Positive linear operators and order-bounded operators (47B65) Spectral sets of linear operators (47A25)

Related Items (4)

\(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials ⋮ Kernel estimates and \(L^p\)-spectral independence of generators of \(C_0\)-semigroups ⋮ Gevrey semigroup generated by \(- (\Lambda^\alpha + b \cdot \nabla)\) in \(L^p(\mathbb{R}^n)\) ⋮ Global existence for semi-linear structurally damped \(\sigma\)-evolution models

Cites Work

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• Fractional powers of closed operators and the semigroups generated by them
• One-parameter semigroups of positive operators
• The spectrum of a Schrödinger operator in \(L_ p({\mathbb{R}}^{\nu})\) is p-independent
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• Schrödinger semigroups
• Heat Kernel Estimates and L ^P Spectral Independence of Elliptic Operators
• Error Bounds for Stationary Phase Approximations

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