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Boundary Value Problems of Mathematical Physics in Thin Domains

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Part of the book series: Operator Theory ((OT,volume 112))

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Abstract

Chapters 15 and 16 are devoted to the asymptotics of solutions to elliptic boundary value problems in thin domains. Some dimensions of such a domain are negligibly small in comparison with the others. In this chapter we consider a number of problems in mathematical physics. The general boundary value problems are studied in the next chapter.

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Authors and Affiliations

  1. Department of Mathematics, Linköping University, 58183, Linköping, Sweden

    Vladimir Maz’ya

  2. Laboratory of Mathematical Methods in Mechanics of Solids Institute of Mathematics and Mechanics, St. Petersburg University, Bibliotechnaya pl. 2, 198904, St. Petersburg, Russia

    Serguei Nazarov

  3. Department of Mathematical Physics Faculty of Physics, St. Petersburg State University, Ulyanova 1 Stary Petershof, 198904, St. Petersburg, Russia

    Boris A. Plamenevskij

Authors
  1. Vladimir Maz’ya
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  2. Serguei Nazarov
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  3. Boris A. Plamenevskij
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© 2000 Springer Basel AG

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Maz’ya, V., Nazarov, S., Plamenevskij, B.A. (2000). Boundary Value Problems of Mathematical Physics in Thin Domains. In: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Operator Theory, vol 112. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8432-7_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8432-7_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9564-4

  • Online ISBN: 978-3-0348-8432-7

  • eBook Packages: Springer Book Archive

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