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On the convergence of global and bounded solutions of some evolution equations |
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| Authors: | A. Haraux M. A. Jendoubi |
| Affiliation: | (1) Laboratoire Jacques-Louis Lions, Université P. et M. Curie, Tour 55-65 5ème étage 4 pl. Jussieu, 75252 Paris cedex 05, France;(2) Département de Mathématiques, Faculté des sciences de Bizerte, 7021 Jarzouna, Bizerte, Tunisia |
| Abstract: | It is shown that a special case of the well-known Lojasiewicz gradient inequality is sufficient to give a unified background for many convergence results in gradient or gradient-like systems appearing previously in the Literature. Besides as an illustration we give a direct proof of convergence in the case of 1D wave equations by a suitable adaptation of Zelenyak’s method. |
| Keywords: | 35P05 35J70 35K65 |
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