Essential spectra and semigroups of perturbations ofM-hypoelliptic pseudo-differential operators onLp(ℝn)

DOI10.1080/17476930802669736zbMath1192.35194OpenAlexW2135055154MaRDI QIDQ3391820

Viorel Catană

Publication date: 13 August 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802669736

zbMATH Keywords

strongly continuous semigroupsessential spectradissipative operatorsErhling's inequality\(M\)-hypoelliptic pseudo-differential operatorsAgmon-Douglis-Nirenberg inequality

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (3)

Essential spectrum of \(M\)-hypoelliptic pseudo-differential operators on the torus ⋮ Essential spectra and semigroups of perturbations of generalized SG-hypoelliptic pseudo-differential operators on \(L^p \left(\mathbb{R}^n\right)\) ⋮ Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Spectral theory of pseudo-differential operators
• \(L^p\)-bounded pseudodifferential operators and regularity for multi-quasi-elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• M-Hypoelliptic pseudo-differential operators onL^p(ℝⁿ)
• Essential spectra of elliptic pseudo-differential operators
• Spectral Analysis of Strongly Carleman Pseudo-Differential Operators
• M ‐elliptic pseudo‐differential operators on L^p(ℝⁿ)

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