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

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. © 2021, Springer Nature Switzerland AG.

Authors
Boltachev A.V. 1 , Savin A.Y. 1, 2
Collection of articles
Trends in Mathematics
Publisher
Springer International Publishing
Language
English
Pages
48-59
Status
Published
DOI
10.1007/978-3-030-37326-9_4
Year
2021
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 2 Institut für Analysis Welfengarten 1, Leibniz University of Hannover, Hannover, 30167, Germany
Keywords
boundary value problem; Fredholm operator; geodesic flow; quantized canonical transformation; wave equation
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84749/
Share

Other records