ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/93125| Title: | Regular Global Attractors for Wave Equations with Degenerate Memory |
| Authors: | Shomberg, J. L. |
| Issue Date: | 2019 |
| Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
| Citation: | Shomberg J. L. Regular Global Attractors for Wave Equations with Degenerate Memory / J. L. Shomberg. — DOI 10.15826/umj.2019.1.007. — Text : electronic // Ural Mathematical Journal. — 2019. — Volume 5. — № 1. — P. 59-82. |
| Abstract: | We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on the nonlinear term), we show the existence of a compact attracting set which provides further regularity for the global attractor and show that it consists of regular solutions. |
| Keywords: | DEGENERATE VISCOELASTICITY RELATIVE DISPLACEMENT HISTORY NONLINEAR WAVE EQUATION CRITICAL EXPONENT REGULAR GLOBAL ATTRACTOR |
| URI: | http://elar.urfu.ru/handle/10995/93125 |
| Access: | Creative Commons Attribution License |
| License text: | https://creativecommons.org/licenses/by/4.0/ |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2019.1.007 |
| metadata.dc.description.sponsorship: | The author is indebted to the anonymous referees for their careful reading of the manuscript and for their helpful comments and suggestions — in particular, for the reference [1]. |
| Origin: | Ural Mathematical Journal. 2019. Volume 5. № 1 |
| Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| umj_2019_5_1_59-82.pdf | 297,71 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
