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- W2463419412 abstract "Neste trabalho, estudou-se, via teoria de semigrupos de operadores lineares, a existência, unicidade e a estabilidade exponencial de solução do problema de valor inicial e de contorno associado com a equação da onda em um domínio retangular com uma dissipação localizada. Para mostrar a existência, a unicidade e o decaimento exponencial da solução do problema, reescreveu-se o modelo como um problema de primeira ordem no tempo. Provou-se a existência e unicidade de solução usando o Teorema de Lumer-Phillips e a estabilidade exponencial do semigrupo de classe C0, {S(t)}t0, associado ao sistema dissipativo, usando o Teorema de Gearhart." @default.
- W2463419412 created "2016-07-22" @default.
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- W2463419412 date "2016-01-01" @default.
- W2463419412 modified "2023-10-04" @default.
- W2463419412 title "Existence, Uniqueness and Exponential Decay of Solution for the Wave Equation with Localized Dissipation" @default.
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- W2463419412 doi "https://doi.org/10.5935/recen.2016.01.01" @default.
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