ON A 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 Fredholm solvability of the problem in suitable spaces of functions. It turns out that these conditions depend on the properties of the geodesic flow.

Authors
Boltachev Andrei 1 , Savin A.Yu. 1
Conference proceedings
Крымская осенняя математическая школа-симпозиум (КРОМШ-2020)
Publisher
"Полипринт"
Language
English
Pages
201-202
Status
Published
Year
2020
Organizations
  • 1 Peoples' Friendship University of Russia
Keywords
Fredholm operator; boundary value problem; wave equation; quantized canonical transformation; geodesic flow
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/87807/
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