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- Title
Basis property of the eigenfunctions of a generalized gasdynamic Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient.
- Authors
Moiseev, E. I.; Abbasi, N.
- Abstract
We find the eigenfunctions of a generalized Frankl problem with the use of Bessel functions. We prove that these eigenfunctions form a Riesz basis in the space L2( D+), where D+ is the elliptic part of the domain. In addition, we prove the Riesz basis property of a trigonometric function system and the completeness of this system in the space L2(0, π/2).
- Subjects
EIGENFUNCTIONS; GAS dynamics; NUMERICAL solutions to boundary value problems; NUMERICAL solutions to differential equations; NUMERICAL solutions to integral equations; TRIGONOMETRY
- Publication
Differential Equations, 2009, Vol 45, Issue 10, p1485
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266109100115