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Elliptic differential-difference operators with degeneration and the Kato square root problemWe prove correctness of the Kato square root conjecture for elliptic differential
DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTURE that this operator satisfies the Kato square root conjecture.
THE KATO CONJECTURE FOR STRONGLY ELLIPTIC DIFFERENTIAL-DIFFERENCE OPERATOR IN A CYLINDER WITH MIXED BOUNDARY CONDITIONS conditions. We proved that this operator satisfies the Kato square root conjecture.
Kato Square Root Problem for Elliptic Functional Differential OperatorsKato Square Root Problem for Elliptic Functional Differential Operators
Stability for semilinear parabolic problems in L2 and W1,2 setting, a better understanding of this approach is provided for operators satisfying Kato's square root
Boundary-value problems for elliptic functional-differential equations and their applications to the theory of non-local elliptic problems, to the Kato square-root problem for an operator, to elasticity
A property of regularly accretive differential difference operators with degeneracy square root conjecture.
Spectral properties of functional-differential operators and a Gårding-type inequality solution Kato's square root problem.
The Kato Conjecture for Elliptic Differential-Difference Operators with Degeneration in a Cylinder to satisfy the Kato conjecture on the square root of an operator. © 2018, Pleiades Publishing, Ltd.
Nonlocal problems and functional-differential equations: Theoretical aspects and applications to mathematical modelling, and their applications, obtained during several last years. The following research areas are covered: the Kato square
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