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Compactness of the $\bar\partial $ - Neumann operator on weighted $(0,q)$- forms
@-Neumann problem Sobolev spaces compactness
2011/2/24
As an application of a new characterization of compactness of the @-Neumann operator we derive a sufficient condition for compactness of the @- Neumann operator on (0, q)-forms in weighted L2-spaces o...
Compactness properties of weighted summation operators on trees - the critical case
Metrics on trees operators on trees weighted summation operators
2010/12/6
The aim of this paper is to provide upper bounds for the entropy numbers of summation
operators on trees in a critical case. In a recent paper [10] we elaborated a framework of
weighted summation op...
A compactness result for Landau state in thin-film micromagnetics
compactness singular perturbation vortex N´ eel wall micromagnetics
2010/12/1
We deal with a nonconvex and nonlocal variational problem coming from thin-film micro-magnetics. It consists in a free-energy functional depending on two small parameters " and
and defined over vec...