非自治耗散型Schrodinger方程的吸引子的维数

Dimensions of the Attractor for the Non-autonomous Dissipative Type Schrodinger Equation

考虑非自治耗散型Schrod inger方程的吸引子的维数,通过线性变分方法和广义Sobolev-L ieb-Th irring不等式,得到吸引子的Housdorff维数和分形维数的估计.

In this paper, we consider the dimensions of attractor for the non-autonomous dissipative type Schrodinger equation and we obtain the estimate of Housdorff dimensions and Fractal dimensions by using linear variation method and generalized Sobolev-Lieb-Thirring inequality.