Abstract:
For the Gellerstedt equation with a singular coefficient in some mixed domain, when the ellipticity boundary coincides with the segment of the Oy axis and the normal curve of the equation, the problem with the Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line is studied. The correctness of the formulated problem is proved.
Keywords:
extremum principle, uniqueness of a solution, F. Tricomi singular integral equation, existence of a solution, kernel with a first-order singularity at an isolated singular point, Wiener–Hopf equation, index.
Citation:
M. Mirsaburov, N. Kh. Khurramov, “A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 12, 80–93; Russian Math. (Iz. VUZ), 65:12 (2021), 68–81
\Bibitem{MirKhu21}
\by M.~Mirsaburov, N.~Kh.~Khurramov
\paper A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 12
\pages 80--93
\mathnet{http://mi.mathnet.ru/ivm9738}
\crossref{https://doi.org/10.26907/0021-3446-2021-12-80-93}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 12
\pages 68--81
\crossref{https://doi.org/10.3103/S1066369X21120070}
Citation in format AMSBIB
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