中文摘要：

考虑了在极小测度集Mc0唯一遍历时, Hamilton-Jacobi方程的黏性解uc： M→R关于平均作用量c的连续性. 证明了在相差一个常数的意义下, 黏性解uc（x）（A↓x∈M）关于c是连续的.

英文摘要：

The continuity of the viscosity solution of the Hamilton-Jacobi equation with respect to the parameter is studied. In the sense of a constant difference, the fact is proved that the viscosity solution of the Hamilton-Jacobi equation is continuous at c0 with respect to the parameter if the Mather set Mc0 is uniquely ergodic.