Generation of the integrated semigroups by superelliptic differential operators

DOI10.1016/j.jmaa.2007.10.045zbMath1143.47030OpenAlexW2064937554MaRDI QIDQ2480346

Kotaro Nagaoka

Publication date: 31 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.10.045

zbMATH Keywords

analytic semigroupsstrongly continuous semigroupsintegrated semigroupselliptic and superelliptic differential operators

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30) Integrated semigroups (47D62)

Related Items (2)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Some results on \(n\)-times integrated \(C\)-regularized semigroups

Cites Work

• \(L^p\) spectral independence of elliptic operators via commutator estimates
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• The \(L ^{p}\) resolvents of elliptic operators with uniformly continuous coefficients.
• Uniformly elliptic operators with measurable coefficients
• On the Schrödinger equation in \(L^ p\) spaces
• The \(L^p\) theory of divergence form elliptic operators under the Dirichlet condition
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Boundary Values of Holomorphic Semigroups
• The Functional Calculus
• L ^p Spectral Independence and L ¹ Analyticity

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