In: Tatra Mountains Mathematical Publications, vol. 71, no. 1
Alexander V. Vasilyev - Vladimir B. Vasilyev
Details:
Year, pages: 2019, 195 - 212
Language: eng
Keywords:
digital pseudo-differential operator, discrete Sobolev-Slobodetskii space, elliptic symbol, periodic factorization, potential like operator
Article type: Mathematics
About article:
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.
How to cite:
ISO 690:
Vasilyev, A., Vasilyev, V. 2019. On some discrete potential like operators. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 195-212. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0016
APA:
Vasilyev, A., Vasilyev, V. (2019). On some discrete potential like operators. Tatra Mountains Mathematical Publications, 71(1), 195-212. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0016
About edition:
Publisher: MÚ SAV
Published: 2. 1. 2019