【摘要】 研究了一类具耗散项的波动方程整体吸引子的性质.借助偏微分方程的一些标准技巧对非线性项进行估计,利用嵌入定理和算子半群的方法证明了在相对比较弱的条件下上述问题的整体吸引子具有Hausdorff维数.更多还原

【Abstract】 This paper is related to the studies on the behaviors of the global attractors for a class of wave equations with a dissipative term.With some standard methods the non-linear term has been estimated,and by means of embedding theorem and the method of semigroup under rather mild conditions the attractors of the above-mentioned problem had been obtained in Hausdorff dimensions.更多还原