The Kato Conjecture for Elliptic Differential-Difference Operators with Degeneration in a Cylinder

A. L. Skubachevskii
Translated by I. Ruzanova

RUDN University, Moscow, 117198 Russia

Correspondence to: e-mail: skub@lector.ru

Received 21 August, 2017

Abstract—Second-order elliptic differential-difference operators with degeneration in a cylinder associated with closed densely defined sectorial sesquilinear forms in ${{L}_{2}}(Q)$ are considered. These operators are proved to satisfy the Kato conjecture on the square root of an operator.

DOI: 10.1134/S1064562418010106