The Dirichlet problem for the Lavrent'ev-Bitsadze equation with two type-change lines in a rectangular domain

DOI10.1134/S1064562415010147zbMath1325.35164OpenAlexW2071121697MaRDI QIDQ2353059

Alfira A. Gimaltdinova

Publication date: 7 July 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415010147

zbMATH Keywords

Lavrent'ev-Bitsadze equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Maximum principles in context of PDEs (35B50) Hydro- and aero-acoustics (76Q05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20)

Related Items (7)

The Dirichlet problem for an equation of mixed type with two internal lines of type change ⋮ ON ZEROS OF THE COMBINATION OF PRODUCTS OF BESSEL FUNCTIONS ⋮ Neumann problem for the Lavrent'ev-Bitsadze equation with two type-change lines in a rectangular domain ⋮ Some transcendental equations with trigonometric and hyperbolic functions ⋮ Second boundary-value problem for the Lavrent'ev-Bitsadze equation in a rectangular domain with two degeneration lines ⋮ Conditional well-posedness of the initial-boundary value problem for a system of inhomogeneous mixed type equations with two degeneration lines ⋮ Ill-posed Boundary-value Problem for a System of Partial Differential Equations with Two Degenerate Lines

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• Nonsmooth eigenfunctions in problems of mathematical physics
• Proof of uniqueness and membership in \(W^1_2\) of the classical solution of a mixed problem for a self-adjoint hyperbolic equation
• Dirichlet problem for mixed-type equations in a rectangular domain
• A Dirichlet problem for an equation of mixed type with a discontinuous coefficient
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