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Infinite energy solutions for weakly damped quintic wave equations in $mathbb{R}^3$

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 Added by Sergey Zelik V.
 Publication date 2020
  fields
and research's language is English




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The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in $mathbb{R}^3$ 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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