数学
吸引子
算法
类型(生物学)
注释
能量(信号处理)
语义学(计算机科学)
五次函数
数学分析
计算机科学
物理
量子力学
人工智能
统计
非线性系统
地质学
古生物学
程序设计语言
作者
Xinyu Mei,Anton Savostianov,Chunyou Sun,Sergey Zelik
摘要
The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R 3 \mathbb {R}^3 with quintic nonlinearities. This study includes global well-posedness of the so-called Shatah-Struwe solutions, their dissipativity, the existence of a locally compact global attractors (in the uniformly local phase spaces) and their extra regularity.
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