Loss of Derivatives

DOI10.1007/978-1-4614-4075-8_17zbMath1273.32044OpenAlexW109107975MaRDI QIDQ4912527

Joseph J. Kohn

Publication date: 4 April 2013

Published in: From Fourier Analysis and Number Theory to Radon Transforms and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4075-8_17

zbMATH Keywords

loss of derivativessums of squares of vector fieldsHörmander's bracket conditionLewy operator

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Subelliptic equations (35H20) Differential operators in several variables (32W99)

Related Items (6)

On the Solvability of Certain Degenerate Partial Differential Operators ⋮ Local Solvability of a Class of Degenerate Second Order Operators ⋮ Local solvability of some partial differential operators with non-smooth coefficients ⋮ On the local solvability of a class of degenerate second order operators with complex coefficients ⋮ On the Solvability of a Class of Second Order Degenerate Operators ⋮ Hypoellipticity of certain infinitely degenerate second order operators

Cites Work

• Hypoellipticity and nonhypoellipticity for sums of squares of complex vector fields
• An example of a smooth linear partial differential equation without solution
• Sums of squares of complex vector fields and (analytic-) hypoellipticity
• Some examples of hypoelliptic partial differential equations
• Hypoelliptic differential operators and nilpotent groups
• Hypoellipticity and loss of derivatives
• Hypoelliptic second order differential equations
• On the extension of holomorphic functions from the boundary of a complex manifold
• ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES
• Loss of derivatives for systems of complex vector fields and sums of squares

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