On uniqueness and stability of Sobolev's solution in scattering by wedges

DOI10.1007/s00033-015-0533-yzbMath1326.35366OpenAlexW259014016MaRDI QIDQ894899

J. E. de la Paz Méndez, Alexander I. Komech, Anatolij E. Merzon

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0533-y

zbMATH Keywords

stabilityplane waveexact solutionwedgelimiting amplitudeSobolevwave equation scattering

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45)

Related Items (2)

Analytical methods for perfect wedge diffraction: a review ⋮ An explicit formula for the nonstationary diffracted wave scattered on a NN-wedge

Cites Work

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• Wave diffraction by wedges having arbitrary aperture angle
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• Time-dependent scattering of generalized plane waves by a wedge
• Scattering of a Plane Wave by “Hard-Soft” Wedges
• DN-Scattering of a plane wave by wedges
• On the Keller‐Blank solution to the scattering problem of pulses by wedges
• On Sommerfeld representation and uniqueness in scattering by wedges
• Limiting Amplitude principle in the scattering by wedges
• Diffraction and reflection of pulses by wedges and corners

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