Qualitative theory for strongly damped wave equations |
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| Authors: | Joelma Azevedo Claudio Cuevas Herme Soto |
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| Institution: | 1. Department of Mathematics, Federal University of Pernambuco, Recife‐PE, CEP, Brazil;2. Department of Mathematics and Statistics, University of La Frontera, Casilla 54‐D, Temuco, Chile |
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| Abstract: | We investigate the asymptotic periodicity, Lp‐boundedness, classical (resp., strong) solutions, and the topological structure of solutions set of strongly damped semilinear wave equations. The theoretical results are well complemented with a set of very illustrating applications. |
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| Keywords: | asymptotic behavior boundedness classical solutions damped wave equations strong solutions topological structure of solutions set |
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