We construct the asymptotics (as epsilon -> 0) of solutions to the Neumann problem for the Laplace equation and of the corresponding Dirichlet integral. The problem concerns a three-dimensional domain having two connected components of the boundary at the distance epsilon > 0.
Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain
Cardone G
;
2007-01-01
Abstract
We construct the asymptotics (as epsilon -> 0) of solutions to the Neumann problem for the Laplace equation and of the corresponding Dirichlet integral. The problem concerns a three-dimensional domain having two connected components of the boundary at the distance epsilon > 0.File in questo prodotto:
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