1. Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain
- Author
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Jari Taskinen, Giuseppe Cardone, Sergey A. Nazarov, Jan Sokołowski, Cardone, G, Nazarov, Sa, Sokolowski, J, and Taskinen, J.
- Subjects
Marketing ,Dirichlet problem ,Laplace's equation ,Strategy and Management ,010102 general mathematics ,Mathematical analysis ,Neumann–Dirichlet method ,Boundary (topology) ,Mixed boundary condition ,Mathematics::Spectral Theory ,01 natural sciences ,010101 applied mathematics ,Dirichlet integral ,symbols.namesake ,Media Technology ,Neumann boundary condition ,symbols ,General Materials Science ,Boundary value problem ,0101 mathematics ,Mathematics - Abstract
We construct the asymptotics (as e → 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 e > 0 . To cite this article: G. Cardone et al., C. R. Mecanique 335 (2007).
- Published
- 2007