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

Second-order elliptic differential-difference operators with degeneration in a cylinder associated with closed densely defined sectorial sesquilinear forms in L2(Q) are considered. These operators are proved to satisfy the Kato conjecture on the square root of an operator. © 2018, Pleiades Publishing, Ltd.