Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces
From MaRDI portal
Publication:6046111
DOI10.1007/s00208-022-02411-xzbMath1520.35035arXiv2010.11111WikidataQ114231110 ScholiaQ114231110MaRDI QIDQ6046111
Thomas Kalmes, Andreas Debrouwere
Publication date: 15 May 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.11111
Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10) Boundary value problems for linear higher-order PDEs (35G15) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Surjectivity of differential operators and linear topological invariants for spaces of zero solutions
- Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions
- P-Funktionale und Randwerte zu hypoelliptischen Differentialoperatoren
- Randverteilungen von Nullösungen hypoelliptischer Differentialgleichungen
- Representation of quasianalytic ultradistributions
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Distributional boundary values of harmonic and analytic functions
- Derived functors in functional analysis
- The analysis of linear partial differential operators. II: Differential operators with constant coefficients
- An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators
- Some results on surjectivity of augmented semi-elliptic differential operators
- Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis
- Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
- Ultradistributional boundary values of harmonic functions on the sphere
- A comparison of two different ways to define classes of ultradifferentiable functions
- Das Weylsche Lemma in der Theorie der Hyperfunktionen
- Die Randverteilungen analytischer Funktionen
- Randverteilungen analytischer Funktionen und Distributionen
- Almost periodic ultradistributions of Beurling and of Roumieu type
- A calculus approach to hyperfunctions III
- Pseudoanalytic extension of smooth functions. The uniform scale
- Fortsetzung von Randwerten zu hypoelliptischen Differentialoperatoren und partielle Differentialgleichungen.
- A Calculus Approach to Hyperfunctions. II
- On the extension of Whitney ultrajets, II
- Laplace transform in spaces of ultradistributions
- Harmonic extensions of distributions
