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


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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.

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A. Skubachevskii

RUDN University

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Email: skub@lector.ru
俄罗斯联邦, Moscow, 117198

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