Publication:
Attractors for damped quintic wave equations in bounded domains

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Savostianov, Anton
Zelik, Sergey

Date

2016

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Journal Article

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Abstract

The dissipative wave equation with a critical quintic non-linearity in smooth bounded three-dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. Moreover, the smoothness of the obtained attractor is also shown.

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Springer

Keywords

Physics, multidisciplinary, Physics, particles and fields, Physics, mathematical

Citation

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Annales Henri Poincare

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DOI

10.1007/s00023-016-0480-y

URI

https://doi.org/10.1007/s00023-016-0480-y
 https://hdl.handle.net/20.500.14288/16143

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