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On a certain property of a regular difference operator with variable coefficients. It will be proved that this operator maps continuously and bijectively the Sobolev space of order k
Regularization of the Cauchy Problem for Elliptic OperatorsWe regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators-adjoint elliptic operators of arbitrary even order upon variation of the open sets on which they are defined
Операторное уравнение со второй производной по времени и уравнения ГамильтонаThe given operator equation with the second time derivative, admitting a direct variational
Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE-Bessel equation. Our results involve the generalized divergence theorem and the second Green’s identities relating
Japan vs the United States (1941-1945). People and Machines [Япония против США (1941-1945 гг.). Люди и машины] War in order to understand the role of the Pacific Theater of Operations in World War II
Second order conditions in optimal control problems with equality constraints. We introduce a new natural definition of singular control for which we obtain second-order necessary
Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraintsIn this paper we use the method of finite-dimensional approximations to derive the second-order
On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming sufficient second-order optimality conditions, the set of Lagrange multipliers can be replaced by a smaller
The Lp-dissipativity of certain differential and integral operators concerning the Lp-dissipativity of scalar and matrix partial differential operators. In the second part we
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