On a class of functional–differential operators satisfying the Kato conjecture

Skubachevskii, A.

doi:10.1090/spmj/1545

On a class of functional–differential operators satisfying the Kato conjecture
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by A. L. Skubachevskii
Translated by: E. Peller

St. Petersburg Math. J. 30 (2019), 329-346

DOI: https://doi.org/10.1090/spmj/1545

Published electronically: February 14, 2019

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Abstract:

Second order elliptic differential-difference operators with degeneration in a cylinder are considered. It is proved that these operators satisfy the Kato conjecture about the square root of an operator.

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