On Some Discrete Potential Like Operators

Alexander V. Vasilyev; Vladimir B. Vasilyev

doi:10.2478/tmmp-2018-0016

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On Some Discrete Potential Like Operators

Tatra Mountains Mathematical Publications

Volume 71 (2018): Issue 1 (December 2018)

By: Alexander V. Vasilyev and Vladimir B. Vasilyev

Open Access

|Jan 2019

Abstract

We consider some discrete pseudo-differential equations in discrete Sobolev–Slobodetskii spaces. For a discrete half-space and certain values of an index of periodic factorization for an elliptic symbol we introduce additional potential-like unknowns and prove existence and uniqueness theorem in appropriate discrete Sobolev–Slobodetskii spaces.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2018-0016 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 195 - 212

Submitted on: Oct 26, 2017

Published on: Jan 25, 2019

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

digital pseudo-differential operator,

discrete Sobolev–Slobodetskii space,

elliptic symbol,

periodic factorization,

potential like operator

Related subjects:

Mathematics,

General mathematics

© 2019 Alexander V. Vasilyev, Vladimir B. Vasilyev, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 71 (2018): Issue 1 (December 2018)