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arXiv · 1309.6272

Attractors for damped quintic wave equations in bounded domains

Varga Kalantarov·Anton Savostianov·Sergey Zelik
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Abstract

The dissipative wave equation with a critical quintic nonlinearity 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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Varga Kalantarov, Anton Savostianov, Sergey Zelik. 2013-09-24. Attractors for damped quintic wave equations in bounded domains. https://arxiv.org/abs/1309.6272

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