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Solution of a parabolic optimal control problem using fictitious domain method© 2019, Springer Nature Switzerland AG. A linear-quadratic parabolic optimal control problem in a

On the nonexistence of solutions of some anisotropic elliptic and backward parabolic inequalitiesWe study the nonexistence of weak solutions of higher-order elliptic and parabolic inequalities

Udzawa-type iterative method with parareal preconditioner for a parabolic optimal control problem with the parabolic equation as state problem. There are point-wise constraints on the state and control functions

Correctness investigation of a boundary value problem for a parabolic equation with nonlocal space operator with respect to the solution gradient© Published under licence by IOP Publishing Ltd.We consider the parabolic equation whose space

Nonexistence of sign-changing solutions for some elliptic and parabolic inequalities differential inequalities of elliptic and parabolic type containing nonlinear terms that depend on the positive

Tolerance of the solution to the problem of a buried waveguide synthesis of profile is implemented. It has the form of a double truncated exponential-power function. Each set

Voigt lineshape function as a solution of the parabolic partial differential equationThe goal of this paper is to show that the Voigt function may be found as a solution of a parabolic

Coercive Solvability of Nonlocal Boundary-Value Problems for Parabolic Equations operators. We consider applications in the class of parabolic functional differential equations

Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator© 2015, Pleiades Publishing, Ltd. We consider a parabolic equation whose spatial operator depends

On an optimal domain with respect to (x,t) for a parabolic-type equation^{ast}, y^{ast} (x,t) that minimizes the functional J(Omega^{ast},y^{ast})=|y-y^{ast}; L_2(Omega)|^2, where

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