关键词: 退化抛物方程组, 近似能控性, 耦合方程组

Abstract: By using the unique continuation of conjugate equations, we discussed the coupled parabolic equations with boundary degeneracy, and gave approximate controllability of the problem. The result shows that for any objective function, there exists a control function such that the solution of the problem can be sufficiently close to the objective function in a finite time.

Key words: degenerate parabolic equations, approximate controllability, coupled equations