Scattering by a periodic tube in $ \newcommand{\real}{\mathbb{R}} \newcommand{\re}{{\rm Re}} \mathbf{\real^3}$ : part i. The limiting absorption principle

Inverse Problems ◽

10.1088/1361-6420/ab2e31 ◽

2019 ◽

Vol 35 (10) ◽

pp. 104004 ◽

Author(s):

Andreas Kirsch

Keyword(s):

Limiting Absorption Principle ◽

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Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces

Journal of Spectral Theory ◽

10.4171/jst/231 ◽

2018 ◽

Vol 8 (4) ◽

pp. 1443-1486 ◽

Author(s):

Andrea Mantile ◽

Andrea Posilicano ◽

Mourad Sini

Keyword(s):

Boundary Conditions ◽

Scattering Matrix ◽

Laplace Operators ◽

Limiting Absorption Principle ◽

Generalized Eigenfunctions

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The limiting absorption principle for the acoustic wave operators in two unbounded media

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496162267 ◽

1993 ◽

Vol 17 (2) ◽

pp. 345-362 ◽

Author(s):

Mitsuteru Kadowaki

Keyword(s):

Acoustic Wave ◽

Limiting Absorption Principle ◽

Wave Operators ◽

Unbounded Media

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Limiting absorption principle for schrödinger hamiltonians with magnetic fields

Communications in Partial Differential Equations ◽

10.1080/03605309408821010 ◽

1994 ◽

Vol 19 (1-2) ◽

pp. 89-117 ◽

Author(s):

Anne Boutet de Monvel ◽

Radu Purice

Keyword(s):

Magnetic Fields ◽

Limiting Absorption Principle

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The limiting absorption principle (LAP), the radiation conditions and the expansion theorem

Mathematical Surveys and Monographs - Mathematical Scattering Theory ◽

10.1090/surv/158/09 ◽

2010 ◽

pp. 231-265

Author(s):

D. Yafaev

Keyword(s):

Expansion Theorem ◽

Limiting Absorption Principle ◽

Radiation Conditions

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The Limiting Absorption Principle for Periodic Differential Operators and Applications to Nonlinear Helmholtz Equations

Communications in Mathematical Physics ◽

10.1007/s00220-019-03363-1 ◽

2019 ◽

Vol 368 (2) ◽

pp. 799-842 ◽

Author(s):

Rainer Mandel

Keyword(s):

Differential Operators ◽

Helmholtz Equations ◽

Limiting Absorption Principle ◽

Periodic Differential Operators ◽

Nonlinear Helmholtz Equations

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Limiting absorption principle

Lecture Notes in Mathematics - Spectral Representations for Schrödinger Operators With Long-Range Potentials ◽

10.1007/bfb0070999 ◽

1979 ◽

pp. 10-52

Author(s):

Yoshimi Saitō

Keyword(s):

Limiting Absorption Principle

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Limiting Absorption Principle

Dispersion Decay and Scattering Theory ◽

10.1002/9781118382868.ch6 ◽

2012 ◽

pp. 71-88

Keyword(s):

Limiting Absorption Principle

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Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

Communications in Partial Differential Equations ◽

10.1080/03605302.2020.1857400 ◽

2020 ◽

pp. 1-76

Author(s):

András Vasy

Keyword(s):

Lagrangian Approach ◽

Limiting Absorption Principle

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A limiting absorption principle for Schrödinger operators with oscillating potentials. Part II: −Δ + (c sin b ¦x¦/¦x¦) + V(x) for short range V and small coupling constant c

Journal of Differential Equations ◽

10.1016/0022-0396(83)90020-7 ◽

1983 ◽

Vol 49 (1) ◽

pp. 85-104 ◽

Author(s):

Allen Devinatz ◽

Peter Rejto

Keyword(s):

Short Range ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Coupling Constant ◽

Limiting Absorption Principle ◽

Small Coupling ◽

Small Coupling Constant

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Current in a three-dimensional periodic tube with unbiased forces

Physical Review E ◽

10.1103/physreve.74.051114 ◽

2006 ◽

Vol 74 (5) ◽

Author(s):

Bao-quan Ai ◽

Liang-gang Liu

Keyword(s):

Three Dimensional ◽

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