带逆平方势的非线性Shrdinger方程整体吸引子及其维数估计(英文)

The Global Attractor and Its Dimensions for the Nonlinear Schrdinger Equation with Inverse-Square Potential

研究了带逆平方势的非线性Shrdinger方程的长时间动力学行为,证明了整体吸引子的存在性,并给出了整体吸引子的Hausdorff维数和Fractal维数的上界估计.

In this paper, the long time behavior of solutions for the nonlinear Schroedinger equation with inversesquare potential are studied. The existence of the global attractor is proved, and the estimates of the upper bounds of Hausdorff and Fractal dimensions of the global attractors are obtained.