Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction
Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction
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DOI：
10.1016/j.jde.2007.02.004
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发表时间：
2007-05
影响因子：
2.4
通讯作者：
M. Cavalcanti;V. Cavalcanti;I. Lasiecka
中科院分区：
文献类型：
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作者：
M. Cavalcanti;V. Cavalcanti;I. Lasiecka
我们建立了波动方程的半线性模型的解的适定性和有效最优衰减率，服从于对源和阻尼之间的关系施加的一些自然的附加假设。所提出的理论允许考虑在非结构源存在下耗散的超线性和亚线性行为。
We establish, subject to some natural additional assumptions imposed on the relation between the source and the damping, both well-posedness and effective optimal decay rates for the solutions of a semilinear model of the wave equation. The theory presented allows to consider both superlinear and sublinear behaviours of the dissipation in the presence of unstructured sources.