研究了一类具耗散项的四阶非线性波动方程初边值问题整体吸引子的分形维数。利用偏微分方程的一些标准技巧对非线性项进行估计，在相对较弱的条件下用 L 轨道法证明了上述问题的整体吸引子具有有限分形维数。%The initial boundary value problem and fractal dimensions of global attractors for a class of four order nonlinear wave equations with dissipation are studied.By some standard methods,the nonlinear term is estimated.By L-track technique,it is obtained that the attractors of the above mentioned problem has finite fractal dimensions under rather mild conditions.
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