Infinite energy solutions for weakly damped quintic wave equations in R3.

Autor: Mei, Xinyu, Savostianov, Anton, Sun, Chunyou, Zelik, Sergey
Předmět:
Zdroj: Transactions of the American Mathematical Society; May2021, Vol. 374 Issue 5, p3093-3129, 37p
Abstrakt: The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R3 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index