Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions

DOI10.1016/j.jfa.2014.06.018zbMath1296.35104arXiv1303.3743OpenAlexW2964330966MaRDI QIDQ398813

Ferruccio Colombini, Jeffrey Rauch, Vesselin Petkov

Publication date: 18 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3743

zbMATH Keywords

spectral problemsscattering theorydissipative boundary conditionsasymptotically disappearing solutionsnon-elliptic symmetric systems

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Initial-boundary value problems for first-order hyperbolic systems (35L50) Scattering theory of linear operators (47A40)

Related Items

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators, Location of eigenvalues for the wave equation with dissipative boundary conditions, Newton Solvers for Drift-Diffusion and Electrokinetic Equations, Asymptotic of the dissipative eigenvalues of Maxwell’s equations, Weyl formula for the negative dissipative eigenvalues of Maxwell's equations, Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions, Eigenvalues for Maxwell’s equations with dissipative boundary conditions, Weyl formula for the eigenvalues of the dissipative acoustic operator, Hyperbolic boundary value problems with trihedral corners

Cites Work

• Meromorphic generalized inverses of operator functions
• Disappearing solutions for dissipative hyperbolic systems of constant multiplicity
• Scattering theory for dissipative hyperbolic systems
• Scattering Problems for Symmetric Systems with Dissipative Boundary Conditions
• Incoming and disappearing solutions for Maxwell’s equations
• Controllability of the Scattering Operator for Dissipative Hyperbolic Systems
• Representation of the scattering operator for dissipative hyperbolic systems
• Coercive inequalities for nonelliptic symmetric systems
• Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems
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