Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
| Autor: | Guo, Yanqiu, Rammaha, Mohammad A., Sakuntasathien, Sawanya, Titi, Edriss S., Toundykov, Daniel |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Differential Equations 257 (2014), 3778-3812 |
| Druh dokumentu: | Working Paper |
| Popis: | Presented here is a study of a viscoelastic wave equation with supercritical source and damping terms. We employ the theory of monotone operators and nonlinear semigroups, combined with energy methods to establish the existence of a unique local weak solution. In addition, it is shown that the solution depends continuously on the initial data and is global provided the damping dominates the source in an appropriate sense. Comment: The 2nd version includes a new proof of the energy identity |
| Databáze: | arXiv |
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