On Hyperbolic Initial-Boundary Value Problems with a Strictly Dissipative Boundary Condition

DOI10.1007/978-3-030-47174-3_8zbMath1459.35274OpenAlexW3090651752MaRDI QIDQ4964110

Matthias M. Eller

Publication date: 24 February 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-47174-3_8

zbMATH Keywords

strictly dissipative boundary operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for first-order hyperbolic systems (35L50) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Boundary regularity for Maxwell's equations with applications to shape optimization
• Loss of derivatives for hyperbolic boundary problems with constant coefficients
• On Symmetric Hyperbolic Boundary Problems with Nonhomogeneous Conservative Boundary Conditions
• Local boundary conditions for dissipative symmetric linear differential operators
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• On the L^2 well posedness of Hyperbolic Initial Boundary Value Problems
• Uniform Stability Estimates for Constant-Coefficient Symmetric Hyperbolic Boundary Value Problems
• L₂ is a continuable initial condition for kreiss' mixed problems
• Symmetric hyperbolic linear differential equations