On the functional dimension of solution spaces of hypoelliptic partial differential operators

DOI10.1007/BF01450566zbMath0556.35028MaRDI QIDQ761630

Michael Langenbruch

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164008

zbMATH Keywords

constant coefficientshypoellipticfunctional dimensionsolution spaces

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Hypoelliptic equations (35H10)

Related Items (7)

On the properties of the symbols of one class of hypoelliptic equations ⋮ Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes ⋮ A characterization of the wave front set defined by the iterates of an operator with constant coefficients ⋮ A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions ⋮ Wave front sets with respect to the iterates of an operator with constant coefficients ⋮ On the diametral dimension of weighted spaces of analytic germs ⋮ Kolmogorov diameters in solution spaces of systems of partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiability and growth of solutions of partial differential equations
• On the functional dimension of the space of solutions of partial differential equations
• ON THE FUNCTIONAL DIMENSION OF THE SOLUTION SPACE OF HYPOELLIPTIC EQUATIONS
• Localizable Analytically Uniform Spaces and the Fundamental Principle
• The Growth of Hypoelliptic Polynomials and Gevrey Classes

This page was built for publication: On the functional dimension of solution spaces of hypoelliptic partial differential operators