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Elliptic Equations, Manifolds with Non-smooth Boundaries, and Boundary Value Problems

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New Trends in Analysis and Interdisciplinary Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

We discuss basic principles for constructing the theory of boundary value problems on manifolds with non-smooth boundaries. It includes studying local situations related to model pseudo-differential equations in canonical domains. The technique consists of Fourier transform, multi-dimensional Riemann boundary value problem, wave factorization, and multi-variable complex analysis.

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Acknowledgements

The author is very grateful to unknown referee for useful comments and remarks.

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Authors and Affiliations

  1. Belgorod National Research University, Studencheskaya 14/1, Belgorod, 308007, Russia

    Vladimir B. Vasilyev

Authors
  1. Vladimir B. Vasilyev
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Correspondence to Vladimir B. Vasilyev .

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Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Vasilyev, V.B. (2017). Elliptic Equations, Manifolds with Non-smooth Boundaries, and Boundary Value Problems. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_43

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