Title of article
Total energy decay for semilinear wave equations with a critical potential type of damping Original Research Article
Author/Authors
Ryo Ikehata، نويسنده , , Yu-ki Inoue، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
6
From page
1396
To page
1401
Abstract
We consider the Cauchy problem for semilinear wave equations with a critical potential type of damping coefficient (1+|x|)−1(1+|x|)−1 in View the MathML sourceRN and a power nonlinearity |u|p−1u|u|p−1u. We shall derive total energy and LpLp decay estimates in the case when the initial data have a compact support.
Keywords
Unbounded domain , The finite propagation speed property , Semilinear wave equation , Total energy decay
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860446
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