Abstract
In this chapter we construct asymptotics of solutions of elliptic boundary value problems in domains with a singularly perturbed boundary. We consider the same problems as in the first chapter, but now the boundaries of the domains depend also on a small parameter ε. This dependence is such that the limit boundary (i.e. that for ε = 0) is not smooth; it contains isolated points or vertices of sectors or cones.
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© 2000 Springer Basel AG
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Maz’ya, V., Nazarov, S., Plamenevskij, B.A. (2000). Dirichlet and Neumann Problems in Domains with Singularly Perturbed Boundaries. In: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Operator Theory, vol 111. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8434-1_2
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DOI: https://doi.org/10.1007/978-3-0348-8434-1_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9565-1
Online ISBN: 978-3-0348-8434-1
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