We consider some discrete pseudo-differential equationsin discrete Sobolev–Slobodetskii spaces. For a discrete half-space andcertain 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 discreteSobolev–Slobodetskii spaces.
@article{525,
title = {On some discrete potential like operators},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
language = {EN},
url = {http://dml.mathdoc.fr/item/525}
}
Vasilyev, Alexander V.; Vasilyev, Vladimir B. On some discrete potential like operators. Tatra Mountains Mathematical Publications, Tome 72 (2019) . http://gdmltest.u-ga.fr/item/525/