Decay rates for Bresse system with arbitrary nonlinear localized damping

作者:Charles Wenden; Soriano J A; Falcao Nascimento Flavio A; Rodrigues J H
来源:Journal of Differential Equations, 2013, 255(8): 2267-2290.
DOI:10.1016/j.jde.2013.06.014

摘要

In this paper we consider a vibrating system of Bresse type, in a one-dimensional bounded domain with nonlinear localized damping mechanisms acting in all the three wave equations. We obtain some rates of decay for its solutions with no restrictions around the coefficients as well as the condition of equal-speed wave propagation. A new result concerning an internal observability for the conservative system was also proved in order to reach the asymptotics above.

  • 出版日期2013-10-15

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