On the theory of the Frankl problem for equations of mixed type

DOI10.1070/IM8401zbMath1367.35095OpenAlexW2431492899MaRDI QIDQ2981797

K. B. Sabitov

Publication date: 10 May 2017

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8401

zbMATH Keywords

uniquenessnon-local boundary conditionLavrent'ev-Bitsadze operatorChaplygin equationFrankl spectral problem

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Boundary value problems for PDEs of mixed type (35M12)

Related Items (12)

The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain ⋮ On a problem with shift on pieces of boundary characteristics for the Gellerstedt equation with singular coefficients ⋮ Volterra property of an problem of the Frankl type for an parabolic–hyperbolic equation ⋮ Ill-posed boundary value problem for mixed type system equations with two degenerate lines ⋮ Boundary value problem for a mixed-type equation with singular coefficients ⋮ A boundary value problem with a conormal derivative for a mixed-type equation of the second kind with a conjugation condition of the Frankl type ⋮ Conditional well-posedness of the initial-boundary value problem for a system of inhomogeneous mixed type equations with two degeneration lines ⋮ Unnamed Item ⋮ On solvability of a Poincaré-Tricomi type problem for an elliptic-hyperbolic equation of the second kind ⋮ On a boundary value problem for a third-order parabolic-hyperbolic type equation with a displacement boundary condition in its hyperbolicity domain ⋮ On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type ⋮ Ill-posed Boundary-value Problem for a System of Partial Differential Equations with Two Degenerate Lines

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