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On the dependence of the Spectral Fractional Laplacian on a domain

Roberta Musina
Institution: 
University of Udine
Location: 
A-136
Schedule: 
Thursday, June 8, 2017 - 16:15
Abstract: 

We deal with the quadratic form associated to the Spectral fractional Laplacian of real order s>0 on a bounded and smooth domain Ω. In particular, we illustrate two results about the dependence of this quadratic form on the domain Ω. As applications of our main results, we compute the Spectral-Hardy and Spectral-Sobolev constants, and provide a regularity result for an obstacle problem involving the Spectral fractional Laplacian of order s, 0<s<1.

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