Diffraction by periodic graphs

DOI10.1080/17476933.2013.767801zbMath1294.78006OpenAlexW2106385749MaRDI QIDQ5417850

Vladimir S. Rabinovich

Publication date: 22 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.767801

zbMATH Keywords

Fredholm propertydiffractionHelmholtz operatorpotential operatorperiodic graphlimit operators methodlocal principle on graphspseudodifferential operator on a graph

Mathematics Subject Classification ID

Diffraction, scattering (78A45) (Semi-) Fredholm operators; index theories (47A53) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Pseudodifferential operators (47G30)

Related Items (3)

2-3 paths in a lattice graph: random walks ⋮ On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity ⋮ Effective numerical method of spectral analysis of quantum graphs

Cites Work

• Characterization of pseudodifferential operator and application
• Potential type operators on curves with vorticity points
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Quantum graphs: I. Some basic structures
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
• Differential operators on graphs and photonic crystals

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