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
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 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
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