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Class of Fredholm Boundary Value Problems for the Wave Equation with Conditions on the Entire Boundary

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Differential Equations on Manifolds and Mathematical Physics

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

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Abstract

We study boundary value problems for the wave equation with conditions on the entire boundary and obtain sufficient conditions for the Fredholm solvability of the problem in suitable function spaces. It turns out that these conditions depend on the properties of the geodesic flow.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., 117198, Moscow, Russia

    A. V. Boltachev & A. Yu. Savin

  2. Institut für Analysis Welfengarten 1, Leibniz University of Hannover, 30167, Hannover, Germany

    A. Yu. Savin

Authors
  1. A. V. Boltachev
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  2. A. Yu. Savin
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Corresponding author

Correspondence to A. V. Boltachev .

Editor information

Editors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    Vladimir M. Manuilov

  2. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    Alexander S. Mishchenko

  3. Institute for Problems in Mechanics RAS, Ishlinsky, Moscow, Russia

    Vladimir E. Nazaikinskii

  4. Institut für Mathematik, Universität Potsdam, Potsdam, Germany

    Bert-Wolfgang Schulze

  5. Chern Institute of Mathematics, Nankai University, Tianjin, China

    Weiping Zhang

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Boltachev, A.V., Savin, A.Y. (2021). Class of Fredholm Boundary Value Problems for the Wave Equation with Conditions on the Entire Boundary. In: Manuilov, V.M., Mishchenko, A.S., Nazaikinskii, V.E., Schulze, BW., Zhang, W. (eds) Differential Equations on Manifolds and Mathematical Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-37326-9_4

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