Article
Licensed
Unlicensed
Requires Authentication
Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes
-
Published/Copyright:
December 14, 2005
Abstract
For a given polynomial P in three variables and a weight
function ω a characterization
is given of the linear partial differential operators P (D )
acting on the space ℰω (ℝ3) of all
ω-ultradifferentiable functions of Beurling type on ℝ3 or
equivalently on the space of all ω-ultradistributions that
admit a continuous linear right inverse. The characterizing conditions are
phrased in terms of the geometry of the zero variety V of P, using limit varieties of V along
real simple curves and new conditions of ω-hyperbolicity. Several interesting examples are
discussed.
:
Published Online: 2005-12-14
Published in Print: 2005-11-25
Walter de Gruyter GmbH & Co. KG
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Semilattices of groups and inductive limits of Cuntz algebras
- Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- Arcs, valuations and the Nash map
- On Artin’s L-functions. II: Dirichlet coefficients
- A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces
- The spectrum of prime ideals in tensor triangulated categories
- Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes
- On the ‘Section Conjecture’ in anabelian geometry
Articles in the same Issue
- Semilattices of groups and inductive limits of Cuntz algebras
- Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- Arcs, valuations and the Nash map
- On Artin’s L-functions. II: Dirichlet coefficients
- A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces
- The spectrum of prime ideals in tensor triangulated categories
- Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes
- On the ‘Section Conjecture’ in anabelian geometry
