Controllability and observability for some forward stochastic complex degenerate/singular Ginzburg–Landau equations

This paper is addressed to establishing controllability and observability for some forward linear stochastic complex degenerate/singular Ginzburg-Landau equations. It sufficient establish appropriate inequalities the corresponding backward The key prove Carleman estimates of operators. Compared with existing deterministic results, it necessary overcome difficulties caused by coefficients random terms. results obtained cover those cases generalize degenerate parabolic Moreover, limit behavior in equation discussed.