ON ONE GELLERSTEDT PROBLEM WITH DATA ON PARALLEL CHARACTERISTICS

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详细

In this paper we consider the Gellerstedt problem for the Lavrentiev-Bitsadze equation with boundary conditions on parallel characteristics in the hyperbolic part of the equation.

作者简介

T. Moiseev

Lomonosov Moscow State University

Email: tsmoissev@mail.ru
Russia

A. Kholomeeva

Lomonosov Moscow State University

Email: kholomeeva@cs.msu.ru
Russia

参考

  1. Bitsadze, A.V., Nekotorye klassy uravnenii v chastnykh proizvodnykh (Some Classes of Partial Differential Equations), Moscow: Nauka, 1981.
  2. Smirnov, M.M., Uravneniya smeshannogo tipa (Equations of the Mixed Type), Moscow: Vysshaya Shkola, 1985.
  3. Frankl, F.I., New example of a plane-parallel transonic flow with a direct compression shock ending inside the flow, Izv. vuzov, 1959, no. 2, pp. 244–246.
  4. Moiseev, T.E., Gellerstedt problem with a generalized Frankl matching condition on the type change line with data on external characteristics, Differ. Equat., 2016, vol. 52, no. 2, pp. 240–247.
  5. Moiseev, T.E., Gellerstedt problem with nonclassical matching conditions for the solution gradient on the type change line with data on internal characteristics, Differ. Equat., 2016, vol. 52, no. 8, pp. 1023–1029.
  6. Moiseev, E.I., Moiseev, T.E., and Kholomeeva, A.A., Solvability of the Gellerstedt problem with data on parallel characteristics, Differ. Equat., 2017, vol. 53, no. 10, pp. 1346–1351.
  7. Moiseev, E.I., On the basis property of a sine system, Differ. Uravn., 1987, vol. 23, no. 1, pp. 177–179.
  8. Moiseev, E.I., The basis property for systems of sines and cosines, Dokl. Akad. Nauk SSSR, 1984, vol. 275, no. 4, pp. 794–798.
  9. Moiseev, T.E., On the solution of the Gellerstedt problem for the Lavrent’ev–Bitsadze equation, Differ. Equat., 2012, vol. 48, no. 10, pp. 1433–1435.

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