Lack of exponential decay of a coupled system of wave equations with memory |
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| Authors: | RGC Almeida ML Santos |
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| Institution: | Faculdade de Matemática-Programa de Pós-Graduação em Matemática e Estatística, Universidade Federal do Pará, Campus Universitario do Guamá, Rua Augusto Corrêa 01, Cep 66075-110, Pará, Brazil |
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| Abstract: | In this work, we consider a coupled system of wave equations with memory only acting in one of the equations of the system. We show that the solution of this system has a polynomial rate of decay as time tends to infinity, but does not have exponential decay. |
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