A class of integral-difference operators in a plane: Spectral analysis and application to thin films relaxation in an attractive field

DOI10.1063/1.4990061zbMath1371.82145OpenAlexW2724355873MaRDI QIDQ5282874

Yu. B. Mel'nikov

Publication date: 17 July 2017

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

Full work available at URL: https://doi.org/10.1063/1.4990061

zbMATH Keywords

semiconductor nanostructureelectrochemicalthin film relaxation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Statistical mechanics of semiconductors (82D37) Integral operators (45P05) Integral operators (47G10) Linear difference operators (47B39)

Related Items (1)

Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics

Cites Work

• On spectral analysis of an integral-difference operator
• Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems
• On a new class of special functions generated by integral-difference operators
• On the concentration of the spectrum of integral-difference collision operator with Gaussian equilibrium distribution function in a vicinity of zero
• New spectral estimations for a class of integral-difference operators and generalisation to higher dimensions
• Integral-difference collision operators: Analytical and numerical spectral analysis
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