Approximation of Solutions of the Neumann Problem in Disintegrating Domains |
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Authors: | V G Maz'Ya M Hnler |
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Institution: | V. G. Maz'Ya,M. Hänler |
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Abstract: | This article deals with approximation of solutions of the Neumann problem in domains, where small tubes are cut out. With an increasing number of tubes some kind of a porous layer inside the domain is approximated. Our aim is to find an asymptotic solution for the separated limit domains. We show that this asymptotics is described by a boundary value problem for the two limit domains, where the solutions for each domain are connected by the boundary conditions. |
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