EXISTENCIA GLOBAL Y COMPORTAMIENTO ASINTÓTICO PARA UNA ECUACIÓN DE KIRCHOFF CON TÉRMINO DISIPATIVO DE COEFICIENTE VARIABLE
DOI:
https://doi.org/10.15381/pes.v3i2.9250Abstract
Consideramos una ecuación de onda no lineal, con un término disipativo del tipo a(x)u' (el Coeficiente a depende de la variable espacial).
Usando el método de FAEDO-GALERKIN, y definiendo funcionales, de energía adecuados, encontraremos existencia global de la solución para datos pequeños. Una vez hecho esto usamos desigualdades integrales para mostrar que la energía del sistema decae a cero de manera exponencial.
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Copyright (c) 2000 Eugenio Cabanillas Lapa
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