21,185 research outputs found
Algorithms to test open set condition for self-similar set related to P.V. numbers
Fix a P.V. number Given
,
\mathbf{b}=(b_{1},\cdots,b_{m})\in \mathbb{Q^{m}, for the self-similar set
we find an efficient algorithm to
test whether satisfies the open set condition
(strong separation condition) or not
Global Gevrey hypoellipticity for the twisted Laplacian on forms
We study in this paper the global hypoellipticity property in the Gevrey
category for the generalized twisted Laplacian on forms. Different from the
0-form case, where the twisted Laplacian is a scalar operator, this is a system
of differential operators when acting on forms, each component operator being
elliptic locally and degenerate globally. We obtain here the global
hypoellipticity in anisotropic Gevrey space
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