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Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain

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The Maz’ya Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 109))

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Abstract

A mixed boundary value problem for the Laplacian in a multi-structure is considered. The multi-structure consists of a thin-wall tube connected to a three-dimensional body, and the thickness of the wall is of order ɛ, where ɛ is a small parameter. The principal term in a compound multi-scaled asymptotic expansion is constructed.

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References

  1. Åslund, J. Asymptotic Analysis of a Mixed Boundary Value Problem for the Laplacian in a 2D-3D Multi-Structure, Licentiate Thesis, LIU-TEK-LIC-1998:76, Linköping, 1998.

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  2. Ciarlet, P.G. Mathematical elasticity. Volume II: Theory of Plates, Elsevier, 1997.

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  3. Kozlov, V.A., Maz’ya, V.G., Movchan, A.B. Asymptotic Analysis of Fields in Multi-Structures, Oxford University Press, 1999.

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  4. Maz’ya, V.G., Nazarov, S.A., Plamenevsky, B.A. Asymptotische Theorie elliptischer Randwertaufgaben in singulär gestörten Gebieten 1, Akademie-Verlag, Berlin, 1991.

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  5. Maz’ya, V.G., Nazarov, S.A., Plamenevsky, B.A. Asymptotische Theorie elliptischer Randwertaufgaben in singulär gestörten Gebieten2, Akademie-Verlag, Berlin, 1992.

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© 1999 Springer Basel AG

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Aslund, J. (1999). Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain. In: Rossmann, J., Takáč, P., Wildenhain, G. (eds) The Maz’ya Anniversary Collection. Operator Theory: Advances and Applications, vol 109. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8675-8_15

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  • DOI: https://doi.org/10.1007/978-3-0348-8675-8_15

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9726-6

  • Online ISBN: 978-3-0348-8675-8

  • eBook Packages: Springer Book Archive

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