Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes

DOI10.1007/S00020-010-1816-5zbMath1207.35103OpenAlexW1983159670MaRDI QIDQ601724

Jordi Juan-Huguet

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1816-5

zbMATH Keywords

non-quasianalytic classeselliptic differential operatorhypoelliptic polynomialiterates of an operator

Mathematics Subject Classification ID

Hypoelliptic equations (35H10)

Related Items (10)

Comparison of iterates of a class of differential operators in Roumieu spaces ⋮ Systems of differential operators in anisotropic Roumieu classes ⋮ A characterization of the wave front set defined by the iterates of an operator with constant coefficients ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions ⋮ Global Gevrey vectors ⋮ Iterates of systems of operators in spaces of $\omega $-ultradifferentiable functions ⋮ Fréchet spaces invariant under differential operators ⋮ Wave front sets with respect to the iterates of an operator with constant coefficients ⋮ The global Kotake-Narasimhan theorem

Cites Work

• On the functional dimension of solution spaces of hypoelliptic partial differential operators
• Iterati di operatori e regolarita Gevrey microlocale anisotropa
• Ultradifferentiable functions and Fourier analysis
• Derived functors in functional analysis
• A comparison of two different ways to define classes of ultradifferentiable functions
• On interior regularity of the solutions of partial differential equations
• Regularity theorems for fractional powers of a linear elliptic operator
• Bases in solution sheaves of systems of partial differential equations.
• Propriete des iteres et ellipticite
• Fortsetzung von Randwerten zu hypoelliptischen Differentialoperatoren und partielle Differentialgleichungen.
• Pseudodifferential operators on non-quasianalytic classes of Beurling type
• A characterization of real analytic functions
• The Growth of Hypoelliptic Polynomials and Gevrey Classes
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