Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics

201923 citationsJournal Article

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Abstract

The Dirichlet problem in the half-plane for strong elliptic differential-difference equations with nonlocal potentials is considered. The classical solvability of this problem is proved, and the integral representation of this classical solution by a Poisson-type relation is constructed.

Topics & Keywords

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Physics Problems

Publication Details

Published in: Mathematical Notes

Volume 105, Issue 5-6, pp. 734-746

DOI: 10.1134/s0001434619050109

Field-Weighted Citation Impact: 5.30

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Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics

Authors

Abstract

Topics & Keywords

Publication Details