Gellerstedt Type Directional Derivative Problem for an Equation of the Mixed Type with a Spectral Parameter
- Autores: Polosin A.A.1
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Afiliações:
- Lomonosov Moscow State University
- Edição: Volume 55, Nº 10 (2019)
- Páginas: 1373-1383
- Seção: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155183
- DOI: https://doi.org/10.1134/S0012266119100124
- ID: 155183
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Resumo
For a two-dimensional equation of the mixed type with a spectral parameter, we consider a boundary value problem with a directional derivative on a half-circle and the Dirichlet condition on characteristic segments. The problem is reduced to an integro-differential equation for the boundary value of the conjugate function on the half-circle. It is shown that this equation is uniquely solvable and the leading part of the inverse operator can be found in closed form.
Sobre autores
A. Polosin
Lomonosov Moscow State University
Autor responsável pela correspondência
Email: alexei-polosin@mail.ru
Rússia, Moscow, 119991
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