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THE KATO CONJECTURE FOR STRONGLY ELLIPTIC DIFFERENTIAL-DIFFERENCE OPERATOR IN A CYLINDER WITH MIXED BOUNDARY CONDITIONSWe consider a strongly elliptic differential-difference operator in a cylinder with mixed boundary
Spectral Radius Formula for a Parametric Family of Functional Operators for the corresponding class of functional operators. The use of this formula involves calculation of certain type limits
Elliptic differential-difference operators with degeneration and the Kato square root problemWe prove correctness of the Kato square root conjecture for elliptic differential
The localization problem in index theory of elliptic operatorsThe book deals with the localization approach to the index problem for elliptic operators
Regularization of the Cauchy Problem for Elliptic OperatorsWe regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator
Generalized Solutions of Quasilinear Elliptic Differential-Difference Equations. The nonlinear operator has differentiable coefficients. A sufficient condition for the strong ellipticity
Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator-order evolutionary equation involves a fractional power of an elliptic operator of second order. Finite element
On ellipticity of operators with shear mappings operators in the corresponding Sobolev spaces. The ellipticity condition of such nonlocal boundary value
COMPLEXES IN RELATIVE ELLIPTIC THEORY of operators associated with this pair. We describe the notion of ellipticity in this situation and prove
Existence of Solutions of Anisotropic Elliptic Equations with Variable Exponents in Unbounded Domains equations of second order with divergent form and variable exponents. The corresponding elliptic operators
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