Operator Estimates for the Steklov Problem in an Unbounded Domain with Rapidly Changing Conditions on the Boundaryстатья
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Дата последнего поиска статьи во внешних источниках: 1 декабря 2021 г.
Аннотация:A spectral problem of the Steklov type for the Laplacian in an unbounded domain with a smoothboundary is considered. The Steklov condition rapidly alternates with the homogeneous Dirichlet conditionon a part of the boundary. Operator estimates are obtained, which are used to study the asymptotic behaviorof the eigenelements of the original problem as the small parameter tends to zero. The small parameter characterizesthe size of the boundary parts with the Dirichlet condition, the distance between which is on theorder of the logarithm of the small parameter in a negative power.