Eigenfunctions of the Tricomi problem with an inclined type change line. (English. Russian original) Zbl 1357.35234
Differ. Equ. 52, No. 10, 1323-1330 (2016); translation from Differ. Uravn. 52, No. 10, 1375-1382 (2016).
Summary: We construct the eigenfunctions of the Tricomi problem for the case in which the type change line of the elliptic-hyperbolic equation is inclined and forms an arbitrary angle \(\alpha\) with the \(x\)-axis. These eigenfunctions form a basis in the elliptic domain. In addition, we find an integral constraint on the inclined type change line.
MSC:
| 35M12 | Boundary value problems for PDEs of mixed type |
| 35P05 | General topics in linear spectral theory for PDEs |
References:
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