Results 71 to 80 of about 125 (118)

On conditionally hypoelliptic properties of partially hypoelliptic operators

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1963
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On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

What is ...Hypoellipticity?

open access: yesNotices of the American Mathematical Society, 2018
openaire   +1 more source

On the hypoellipticity and the global analytic-hypoellipticity of pseudo-differential operators

open access: yesOn the hypoellipticity and the global analytic-hypoellipticity of pseudo-differential operators
openaire   +1 more source
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Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition

Potential Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hua Zhang, Jiagang Ren, Ren Jiagang
exaly   +3 more sources

The Metivier inequality and ultradifferentiable hypoellipticity

open access: yesMathematische Nachrichten
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Stefan Furdos
exaly   +2 more sources

On Global Hypoellipticity [PDF]

open access: yesCommunications in Partial Differential Equations, 2012
We consider a first order linear partial differential operator of principal type on a closed connected orientable two-dimensional manifold sending sections of one complex line bundle to sections of another. We prove that the assumption of global hypoellipticity of the operator implies a relation between the degrees of the line bundles and the Euler ...
Adalberto Bergamasco
exaly   +2 more sources

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