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Fractional Sobolev spaces on Riemannian manifolds. [PDF]

open access: yesMath Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source

Tempered fractional Sobolev spaces

open access: yes
The fractional Laplacian operator is the infinitesimal generator of the isotropic -stable Lévy process on , which is the scaling limit of the Lévy flight with isotropic power law measure .
Wang, Yejuan   +2 more
core   +1 more source

Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients

open access: yes, 2009
For functions from a Sobolev space, definitions of non-unique generalised and unique canonical co-normal derivative are considered, which are related to possible extensions of a partial differential operator and its right hand side from the domain ...
Mikhailov, SE
core  

Trace theory for gauge-covariant Sobolev spaces

open access: yes
The traces of gauge-covariant Sobolev spaces on a Riemannian vector bundle for some connection are characterised as some gauge-covariant fractional Sobolev spaces when the curvature of the connection is bounded.
Van Schaftingen, Jean, Winter, Leon
core   +1 more source

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