Attractors for Equations of Mathematical Physics
Attractors for Equations of Mathematical Physics
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DOI：
10.1090/coll/049
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发表时间：
2001-11
期刊：
影响因子：
--
通讯作者：
V. Chepyzhov;M. Vishik
中科院分区：
文献类型：
--
作者：
V. Chepyzhov;M. Vishik
自治方程的吸引子自治常微分方程的吸引子自治偏微分方程的吸引子吸引子的维数非自治方程的吸引子过程和吸引子平移紧函数非自治偏微分方程的吸引子半过程和吸引子过程的核Kolmogorov $\varepsilon$-吸引子的熵轨迹吸引子自主常微分方程的轨迹吸引子Hausdorff空间中的吸引子自主方程的轨迹吸引子自主偏微分方程的轨迹吸引子非自主偏微分方程的轨迹吸引子非自主偏微分方程的轨迹吸引子轨迹吸引子的逼近轨迹吸引子的摄动轨迹吸引子的平均带有快速振荡项的演化方程的吸引子的证明定理II.1.4和II.1.5格和复盖。
Introduction Attractors of autonomous equations: Attractors of autonomous ordinary differential equations Attractors of autonomous partial differential equations Dimension of attractors Attractors of non-autonomous equations: Processes and attractors Translation compact functions Attractors of non-autonomous partial differential equations Semiprocesses and attractors Kernels of processes Kolmogorov $\varepsilon$-entropy of attractors Trajectory attractors: Trajectory attractors of autonomous ordinary differential equations Attractors in Hausdorff spaces Trajectory attractors of autonomous equations Trajectory attractors of autonomous partial differential equations Trajectory attractors of non-autonomous equations Trajectory attractors of non-autonomous partial differential equations Approximation of trajectory attractors Perturbation of trajectory attractors Averaging of attractors of evolution equations with rapidly oscillating terms Proofs of Theorems II.1.4 and II.1.5 Lattices and coverings Bibliography Index.