On the homogenization of nonlocal convolution type operators

DOI10.1134/s106192084010114OpenAlexW4392954796MaRDI QIDQ6118417

Andrey L. Piatnitski, Tatiana Suslina, Elena A. Zhizhina, V. A. Sloushch

Publication date: 21 March 2024

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

Full work available at URL: https://doi.org/10.1134/s106192084010114

zbMATH Keywords

operator normself-adjoint bounded operatorapproximation of the resolvent

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Integral operators (45P05) Linear operator approximation theory (47A58) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Homogenization of quadratic convolution energies in periodically perforated domains
• On operator estimates in homogenization of nonlocal operators of convolution type
• Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
• Homogenization with corrector term for periodic elliptic differential operators
• Second order periodic differential operators. Threshold properties and homogenization
• Homogenization of biased convolution type operators
• On ground state of some non local Schrödinger operators
• Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$

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