The principle of limiting absorption for uniformly propagative systems with perturbations of long-range class

DOI10.1017/S0027763000019334zbMath0473.35063MaRDI QIDQ3927591

Hideo Tamura

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

principle of limiting absorptionspectral theory of differential operatorsa-priori-estimatesuniformly propagative in the sense of Wilcox

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) A priori estimates in context of PDEs (35B45) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (4)

Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ The principle of limiting absorption and decay of local energy for the linearized equation of magnetogasdynamics ⋮ The principle of limiting absorption for propagative systems in crystal optics with perturbations of long-range class

Cites Work

• Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. I: The principle of limiting absorption
• Spectral analysis for perturbed Laplace operators in cylindrical domains
• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• Spectral and scattering theory for symmetric hyperbolic systems in an exterior domain

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