Intrinsic Boundary Conditions for Friedrichs Systems

DOI10.1080/03605300903540927zbMath1226.35012OpenAlexW1992920929MaRDI QIDQ4933533

Krešimir Burazin, Nenad Antonić

Publication date: 14 October 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903540927

zbMATH Keywords

symmetric positive first-order systemboundary operatorKreĭn space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators on spaces with an indefinite metric (47B50) Initial value problems for systems of linear first-order PDEs (35F40)

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Cites Work

• Unnamed Item
• Unnamed Item
• A parabolic variant of H-measures
• A posteriori error analysis for numerical approximations of Friedrichs systems
• H-measures and variants applied to parabolic equations
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• An Intrinsic Criterion for the Bijectivity of Hilbert Operators Related to Friedrich' Systems
• Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
• Boundary value problems for first order operators