Titlebook: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II; Volume II Vladimir Maz’ya,Serguei Nazarov,

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Fabian Birkmann,Henning Urbat,Stefan Milius last part of the book is devoted to rapidly oscillating perturbations extended over the whole domain or its boundary. At first glance the problems collected here essentially differ from those studied in the preceding chapters. Nevertheless, one can follow an analogy in the iterative procedures for

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Ackermannian Completion of Separatorss played by a partial differential operator acting on functions in . variables. As a model we take the problem of the propagation of heat in a fine wire-cloth. On its segments there are given some ordinary second order differential equations. At the nodes, the sum of the flows rates is equal to zero

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Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients last part of the book is devoted to rapidly oscillating perturbations extended over the whole domain or its boundary. At first glance the problems collected here essentially differ from those studied in the preceding chapters. Nevertheless, one can follow an analogy in the iterative procedures for

outset

Paradoxes of Limit Passage in Solutions of Boundary Value Problems When Smooth Domains Are Approximahis purpose we use an asymptotic approach. Though the techniques have a broader field of applications, we restrict ourselves to studying some particular boundary value problems in the theory of thin plates. More precisely, we consider a number of questions related to the known paradox that goes back

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Homogenization of a Differential Operator on a Fine Periodic Net of Curvess played by a partial differential operator acting on functions in . variables. As a model we take the problem of the propagation of heat in a fine wire-cloth. On its segments there are given some ordinary second order differential equations. At the nodes, the sum of the flows rates is equal to zero