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Showing 2006 · math.APShow all
3 papers · 2 filters
math.AP2006★ 38 cited
Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case
Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue o…
math.AP2006
A new approach to transport equations associated to a regular field: trace results and well-posedness
Luisa Arlotti, Jacek Banasiak, Bertrand Lods
We generalize known results on transport equations associated to a Lipschitz field on some subspace of endowed with some general space measure . We p…
math.AP2006★ 13 cited
Asymptotic behaviour of the inductance coefficient for thin conductors
Rachid Touzani, Youcef Amirat
We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the…