Existence and uniqueness of solutions of a mixed problem for a symmetric hyperbolic system with discontinuous coefficients

DOI10.1007/BF02844613zbMath0562.35056OpenAlexW1978205707MaRDI QIDQ1056829

Ettore Santi

Publication date: 1984

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844613

zbMATH Keywords

existenceuniquenessconservative boundary conditionsfirst order linear differential systemsymmetric and coerciveweak \(L^ 2\)- solutions

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

Boundary feedback stabilization and Riesz basis property of a 1D first-order hyperbolic linear system with \(L^{\infty }\)-coefficients

Cites Work

• Unnamed Item
• First order linear partial differential equations with discontinuous coefficients
• Generlized solutions of linear differential equations with dicontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws
• A uniqueness theorem for weak solutions of symmetric quasilinear hyperbolic systems
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• Questions of Existence and Uniqueness for Hyperbolic Equations with Discontinuous Coefficients
• L₂ is a continuable initial condition for kreiss' mixed problems

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