Asymptotics and Estimates of Degrees of Convergence in Three-Dimensional Boundary Value Problem with Frequent Interchange of Boundary Conditions

Simple item page
dc.creatorBorisov, Denis I.
dc.date2002-09-12
dc.date.accessioned2026-07-07T06:34:20Z
dc.date.available2026-07-07T06:34:20Z
dc.descriptionWe consider a singular perturbed eigenvalue problem for Laplace operator in a cylinder with frequent interchange of type of boundary condition on a lateral surface. These boundary conditions are prescribed by partition of lateral surface in a great number of narrow strips on those the Dirichlet and Neumann conditions are imposed by turns. We study the case of the homogenized problem containing Dirichlet condition on the lateral surface. When the width of strips varies slowly, we construct the leading terms of eigenelements' asymptotics expansions. We also estimate the degree of convergence for eigenvalues if the strips' width varies rapidly.
dc.descriptionThe text was originally written in Russian and then translated by the author
dc.identifierhttps://arxiv.org/abs/math-ph/0209021
dc.identifierhttp://arxiv.org/abs/math-ph/0209021
dc.identifierSiberian Mathematical Journal. 2004. V. 45. No. 2. P. 222-240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99494
dc.subjectMathematical Physics
dc.subject34E15, 34E05, 35J25
dc.titleAsymptotics and Estimates of Degrees of Convergence in Three-Dimensional Boundary Value Problem with Frequent Interchange of Boundary Conditions
dc.typetext

Files

Collections

arXiv