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RESEARCH PRODUCT

Moderately close Neumann inclusions for the Poisson equation

Matteo Dalla RivaPaolo Musolino

subject

General Mathematics010102 general mathematicsMathematical analysisGeneral Engineeringmixed problem; moderately close holes; Poisson equation; real analytic continuation in Banach space; singularly perturbed perforated domain; Mathematics (all); Engineering (all)Poisson equation01 natural sciences010101 applied mathematicsmixed problemsingularly perturbed perforated domainEngineering (all)Settore MAT/05 - Analisi MatematicaMathematics (all)0101 mathematicsPoisson's equationmoderately close holesMathematicsreal analytic continuation in Banach space

description

We investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations in an open set: the size of the perforations is ϱ1ϱ2, while the distance of the cavities is proportional to ϱ1. Then, if r∗ is small enough, we analyze the behavior of the solution for (ϱ1,ϱ2) close to the degenerate pair (0,r∗). Copyright © 2016 John Wiley & Sons, Ltd.

yearjournalcountryeditionlanguage
2016-06-23
10.1002/mma.4028http://hdl.handle.net/11577/3281371