A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain

DOI10.1070/IM8442zbMath1377.35195OpenAlexW2613019428MaRDI QIDQ5349255

N. A. Zhura, Alexandr P. Soldatov

Publication date: 24 August 2017

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

Full work available at URL: https://doi.org/10.1070/im8442

zbMATH Keywords

spectral radiusshift operatorfunctional operatorbounded piecewise-smooth domainthree equations with constant coefficientstwo-dimensional admissible domains

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Initial-boundary value problems for first-order hyperbolic systems (35L50) Linear composition operators (47B33) Matrix and operator functional equations (39B42)

Related Items (4)

Characteristically closed domains for first order strictly hyperbolic systems in the plane ⋮ On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators $\mathbb{AT}_{\lambda,j}$ ⋮ Problem of the Riemann-Hilbert type for a hyperbolic system on the plane

Cites Work

• On boundary value problems for the hyperbolic case
• The Dirichlet problem for the vibrating string equation
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