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


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Abstract

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.

About the authors

A. L. Skubachevskii

RUDN University

Author for correspondence.
Email: skub@lector.ru
Russian Federation, Moscow, 117198


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