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Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains

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Sobolev Spaces in Mathematics II

Part of the book series: International Mathematical Series ((IMAT,volume 9))

Abstract

General formally self-adjoint boundary value problems with spec tral parameter are investigated in domains with cylindrical and quasicylin drical (periodic) outlets to infinity. The structure of the spectra is studied for operators generated by the corresponding sesquilinear forms. In addition to general results, approaches and methods are discussed to get a piece of infor mation on continuous, point, and discrete spectra, in particular, for specific problems in the mathematical physics.

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  1. Institute of Problems in Mechanical Engineering, Russian Acad. Sci., Bolshoi pr. 61, St. Petersburg 199178, Russia

    Sergey Nazarov

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  1. Sergey Nazarov
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Correspondence to Sergey Nazarov .

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  1. Department of Mathematics, Ohio State University, Columbus, USA

    Vladimir Maz'ya

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Vladimir Maz'ya

  3. Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Maz'ya

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Nazarov, S. (2009). Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains. In: Maz'ya, V. (eds) Sobolev Spaces in Mathematics II. International Mathematical Series, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-0-387-85650-6_12

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