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math.AP2018★ 4 cited
Some Remarks on the Space of Locally Sobolev-Slobodeckij Functions
A. Behzadan, M. Holst
The study of certain differential operators between Sobolev spaces of sections of vector bundles on compact manifolds equipped with rough metric is closely related to the study of…
math.AP2017
Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited
A. Behzadan, M. Holst
In this article we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this typ…
math.AP2015★ 30 cited
Multiplication in Sobolev Spaces, Revisited
A. Behzadan, M. Holst
In this article, we re-examine some of the classical pointwise multiplication theorems in Sobolev-Slobodeckij spaces, in part motivated by a simple counter-example that illustrates…