On Some Discrete Potential Like Operators

Vasilyev, Alexander V.; Vasilyev, Vladimir B.

doi:10.2478/tmmp-2018-0016

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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On Some Discrete Potential Like Operators

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