Decaimiento exponencial de la ecuación de onda semilineal con disipación localizada
DOI:
https://doi.org/10.15381/pes.v16i1.12485Keywords:
Solución regular, decaimiento exponencial, continuación única.Abstract
El objetivo del presente trabajo de investigación fue obtener el decaimiento exponencial uniforme de la energía para la ecuación de onda semilineal con disipación localizada, dada por,
utt − ∆u + α(x)u + f(u) + a(x)ut = 0 en Rn × (0, +∞).
Para lograr el objetivo del presente trabajo empleamos el principio de continuación única, estudiado por Ruiz [7] y las ideas expuestas por E. Zuazua [8].
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Copyright (c) 2013 Carlos Alberto Peña Miranda, Alfonso Pérez Salvatierra, Andrés Guardia Cayo
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