M-Hypoelliptic pseudo-differential operators onLp(ℝn)

DOI10.1080/00036810801952946zbMath1158.47031OpenAlexW2103839314WikidataQ58292421 ScholiaQ58292421MaRDI QIDQ3532641

Viorel Catană

Publication date: 28 October 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810801952946

zbMATH Keywords

spectrumessential spectrumpseudodifferential operators\(M\)-hypoellipticityHörmander classes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectrum, resolvent (47A10) Dilations, extensions, compressions of linear operators (47A20) Multipliers in one variable harmonic analysis (42A45) Pseudodifferential operators (47G30)

Related Items (9)

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 \(L^p \left(\mathbb{R}^n\right)\) ⋮ Spectral theory of a hybrid class of pseudo-differential operators ⋮ Existence theorem and global solution for semilinear edge-degenerate hypoelliptic equations ⋮ Unnamed Item ⋮ Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration ⋮ Essential spectra and semigroups of perturbations ofM-hypoelliptic pseudo-differential operators onL^p(ℝⁿ) ⋮ Minimal and maximal extensions of \(M\)-hypoelliptic proper uniform pseudo-differential operators in \(L^p\)-spaces on non-compact manifolds ⋮ Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\)

Cites Work

• \(L^ p-\)spectra of strongly Carleman pseudo-differential operators
• \(L^p\)-bounded pseudodifferential operators and regularity for multi-quasi-elliptic equations
• On the essential spectrum of an arbitrary operator. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• M ‐elliptic pseudo‐differential operators on L^p(ℝⁿ)

This page was built for publication: M-Hypoelliptic pseudo-differential operators onL^p(ℝⁿ)