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Solvability of the Gellerstedt problem with data on parallel characteristics

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Publication:1701777
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DOI10.1134/S0012266117100111zbMath1387.35424OpenAlexW2771003016MaRDI QIDQ1701777

A. A. Kholomeeva, E. I. Moiseev, T. E. Moiseev

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100111


zbMATH Keywords

Lavrent'ev-Bitsadze equation


Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)


Related Items (1)

Spectral solution of a boundary value problem for equation of mixed type




Cites Work

  • Gellerstedt problem with a generalized Frankl matching condition on the type change line with data on external characteristics
  • Gellerstedt problem with nonclassical matching conditions for the solution gradient on the type change line with data on internal characteristics
  • On the solution of the Gellerstedt problem for the Lavrent'ev-Bitsadze equation
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