The limiting absorption and amplitude principles for the diffraction problem with two unbounded media

DOI10.1007/BF01206952zbMath0622.35042OpenAlexW2061341282MaRDI QIDQ1090850

B. George

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206952

zbMATH Keywords

regularityCauchy problemHilbert spacescatteringdiffractionSommerfeld radiation conditionwave fieldprinciple of limiting absorptioncompact obstaclemonochromatic scalar waveprinciple of limiting amplitude

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Diffraction, scattering (78A45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (13)

The limiting-amplitude principle for the wave propagation problem with two unbounded media ⋮ Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions ⋮ Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids ⋮ On the parabolic equation method for the problem of diffraction by strongly elongated spheroid ⋮ Unnamed Item ⋮ Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media ⋮ Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation ⋮ Radiation principle for inhomogeneous media ⋮ Boundary value contact acoustic problems ⋮ Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition ⋮ Scattering theory for perturbed stratified media ⋮ The Uniqueness of the Solution of the Schrödinger Equation with Discontinuous Coefficients ⋮ Resolvent estimates and scattering states for dissipative systems.

Cites Work

• Limiting absorption principle for some Schrödinger operators with exploding potentials. I
• The limiting amplitude principle
• THE PRINCIPLE OF LIMIT AMPLITUDE

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