Asymptotic theory of dynamic boundary value problems in irregular domains /
Author / Creator: | Korikov, Dmitrii. |
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Imprint: | Cham : Birkhäuser, 2021. |
Description: | 1 online resource (404 p.). |
Language: | English |
Series: | Operator Theory, Advances and Applications ; v. 284 Operator theory, advances and applications ; v. 284. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12611909 |
Summary: | This book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of "edges" of various dimensions on the boundary; in particular, polygons, cones, lenses, polyhedra are domains of this type. Singularities of the second type are "singularly perturbed edges" such as smoothed corners and edges and small holes. A domain with singularities of such type depends on a small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type. In the transition from the limit domain to the perturbed one, the boundary near a conical point or an edge becomes smooth, isolated singular points become small cavities, and so on. |
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Item Description: | Description based upon print version of record. 4.6 Boundary Value Problem in a Cone in a Scaleof Weighted Spaces. |
Physical Description: | 1 online resource (404 p.). |
Bibliography: | Includes bibliographical references. |
ISBN: | 9783030653729 3030653722 9783030653712 3030653714 |