Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise (Q827654)

In this article, the author investigates the problem of stabilizing the boundary feedback at unbounded trajectory for the semi-linear stochastic heat equation with cubic nonlinearity. In this case, it is assumed that the feedback controller is linear, explicitly specified and contains only the eigenfunctions of the Laplace operator. The ideas of this work have significant potential for further development.