<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On Some Discrete Potential Like Operators

Belgorod National Research State University

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Some Discrete Potential Like Operators"}

We consider some discrete pseudo-differential equations in discrete Sobolev–Slobodetskii spaces. For a discrete half-space and certain values of an index of...

On Some Discrete Potential Like Operators

Published Online: Jan 25, 2019

Page range: 195 - 212

Received: Oct 26, 2017

DOI: https://doi.org/10.2478/tmmp-2018-0016

Keywords
digital pseudo-differential operator, discrete Sobolev–Slobodetskii space, elliptic symbol, periodic factorization, potential like operator

© 2018 Alexander V. Vasilyev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Discrete Potential Like Operators

Published Online: Jan 25, 2019

Page range: 195 - 212

Received: Oct 26, 2017

DOI: https://doi.org/10.2478/tmmp-2018-0016

Keywordsdigital pseudo-differential operator, discrete Sobolev–Slobodetskii space, elliptic symbol, periodic factorization, potential like operator

© 2018 Alexander V. Vasilyev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
digital pseudo-differential operator, discrete Sobolev–Slobodetskii space, elliptic symbol, periodic factorization, potential like operator