Attractors for the strongly damped wave equation with p‐Laplacian |
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| Authors: | Azer Khanmamedov Zehra Sen |
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| Affiliation: | Department of Mathematics, Faculty of Science, Hacettepe University, Ankara, Turkey |
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| Abstract: | This paper is concerned with the initial‐boundary value problem for one‐dimensional strongly damped wave equation involving p‐Laplacian. For p > 2 , we establish the existence of weak local attractors for this problem in  . Under restriction 2 < p < 4, we prove that the semigroup, generated by the considered problem, possesses a strong global attractor in  , and this attractor is a bounded subset of  . Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | wave equation p‐Laplacian attractors |
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. Under restriction 2 < p < 4, we prove that the semigroup, generated by the considered problem, possesses a strong global attractor in 
, and this attractor is a bounded subset of 
. Copyright © 2017 John Wiley & Sons, Ltd.