Attractors for Damped Quintic Wave Equations in Bounded Domains
| Autor: | Varga K. Kalantarov, Sergey Zelik, Anton Savostianov |
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| Rok vydání: | 2016 |
| Předmět: |
Nuclear and High Energy Physics
Smoothness (probability theory) Semigroup 010102 general mathematics Mathematical analysis 35B40 35B45 Statistical and Nonlinear Physics Wave equation 01 natural sciences Domain (mathematical analysis) Quintic function 010101 applied mathematics Mathematics - Analysis of PDEs Bounded function Attractor FOS: Mathematics Dissipative system 0101 mathematics Mathematical Physics Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Annales Henri Poincaré, 2016, Vol.17(9), pp.2555-2584 [Peer Reviewed Journal] |
| ISSN: | 1424-0661 1424-0637 |
| DOI: | 10.1007/s00023-016-0480-y |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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