Article ID Journal Published Year Pages File Type
843394 Nonlinear Analysis: Theory, Methods & Applications 2008 6 Pages PDF
Abstract
We consider the Cauchy problem for semilinear wave equations with a critical potential type of damping coefficient (1+|x|)−1 in RN and a power nonlinearity |u|p−1u. We shall derive total energy and Lp decay estimates in the case when the initial data have a compact support.
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Physical Sciences and Engineering Engineering Engineering (General)
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Total energy decay for semilinear wave equations with a critical potential type of damping
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