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Статья
2021

A Problem with Local and Nonlocal Conditions on the Boundary of the Ellipticity Domain for a Mixed Type Equation


M. MirsaburovM. Mirsaburov, N. Kh. KhurramovN. Kh. Khurramov
Русская математика
https://doi.org/10.3103/S1066369X21120070
Abstract / Full Text

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, a problem with the Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line is studied. The well-posedness of the formulated problem is proved.

Author information
  • Termez State University, 43 Barkamol avlod str., 190111, Termez, Republic of UzbekistanM. Mirsaburov & N. Kh. Khurramov
References
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  3. Bitsadze A.V. Some Classes of Equations in Partial Derivatives (Nauka, Moscow, 1981) [in Russian].
  4. Mirsaburov M., Khurramov N. "A problem with the Bitsadze–Samarskii condition on the characteristics of one family and with general transmission conditions on the degeneration line for the Gellerstedt equation with a singular coefficient", Differ. Equ. 56 (8), 1050-1071 (2020).
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