Some nonlocal optimal design problems

2016/01/14 by J. Fernandez Bonder, Bonder, J. Fernandez, J. Spedaletti +1
Mathematics · #35J92 #35P30 #49R05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #math.AP #math.OC #msc:35J92 #msc:35P30 #msc:49R05

paper · pdf · doi:10.48550/arxiv.1601.03700

Modifications suggested by the referee included. 25 pages

arxiv created 2017/10/03 · arxiv updated 2017/10/04

Abstract

In this paper we study two optimal design problems associated to fractional Sobolev spaces W^s,p(Ω). Then we find a relationship between these two problems and finally we investigate the convergence when s\uparrow 1.

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