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Sectorial differential-difference operators with degeneration of the corresponding sectorial operator. The Friedrichs extension of the differential difference operator LR

Embedding of vector-valued Morrey spaces and separable differential operatorsThe paper is the first part of a program devoted to the study of the behavior of operator

DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTUREWe consider a nonnegative differential-difference operator with degeneration. It is proved

Conditions for the Lp, λ-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator on the boundedness of the Riesz potential generated by the Gegenbauer differential operator on the spaces Lp, λ

Operator symbols and operator indices to elliptic pseudo-differential operators on smooth manifolds with non-smooth boundaries

Spectral properties of functional-differential operators and a Gårding-type inequalitySpectral properties of functional-differential operators and a Gårding-type inequality are studied

On the Construction of a Variational Principle for a Certain Class of Differential-Difference Operator Equations principles for a given first-order differential-difference operator equation with a special form

On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial Variables which a nonlinear differential-difference operator is demicontinuous, coercive, and pseudomonotone

On some pseudo-differential equations and transmutation operatorsWe describe some operators for solving model elliptic pseudo-differential equations in special

Index of nonlocal elliptic operators over C*-algebras*-algebras. The elliptic theory of pseudo-differential operators (PDOs) over C*-algebras was also constructed in the study

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