Tuesday, December 19, 2017 - 10:15 in D5-153
Mosco convergence of some non-local homogeneous Neumann quadratic forms to the classical (local) Neumann operator in $H^1$
A talk in the Geometric Analysis Seminar series by
Guy Fabrice Foghem Gounoue
| Abstract: |
The presented result tells us that given some family of
non-local homogeneous Neumann problem associated to the fractional
Laplacian with free data, their energy forms converge in some sense to
the energy form of the classical Neumann problem for the Laplace
operator with free data.
This result includes the correct understanding of the asymptotic
behavior of the normalization constant of the fractional Laplacian and
it is motivated by the result from Brezis-Bourgain-Mironescu along with
the recent work done by Paul Voigt in his thesis on similar problem with
Dirichlet data.
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