Author | Maz'ya, Vladimir. author |
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Title | Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains [electronic resource] : Volume II / by Vladimir Maz'ya, Serguei Nazarov, Boris A. Plamenevskij |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8432-7 |
Descript | XXIII, 323 p. online resource |
V Boundary Value Problems in Domains Perturbed Near Multidimensional Singularities of the Boundary -- 11 Boundary Value Problems in Domains with Edges on the Boundary -- 12 Asymptotics of Solutions to Classical Boundary Value Problems in a Domain with Thin Cavities -- 13 Asymptotics of Solutions to the Dirichlet Problem for High Order Equations in a Domain with a Thin Tube Excluded -- VI Behaviour of Solutions of Boundary Value Problems in Thin Domains -- 14 The Dirichlet Problem in Domains with Thin Ligaments -- 15 Boundary Value Problems of Mathematical Physics in Thin Domains -- 16 General Elliptic Problems in Thin Domains -- VII Elliptic Boundary Value Problems with Oscillating Coefficients or Boundary of Domain -- 17 Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients -- 18 Paradoxes of Limit Passage in Solutions of Boundary Value Problems When Smooth Domains Are Approximated by Polygons -- 19 Homogenization of a Differential Operator on a Fine Periodic Net of Curves -- 20 Homogenization of Equations on a Fine Periodic Grid -- Comments on Parts V-VII -- Comments on Part V -- 11 -- 12 -- 13 -- Comments on Part VI -- 14 -- 15 -- 16 -- Comments on Part VII -- 17 -- 18 -- 19 -- 20 -- List of Symbols -- References