Title of article
The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions
Author/Authors
Wang، نويسنده , , Weike and Wang، نويسنده , , Wenjun، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
16
From page
226
To page
241
Abstract
In this paper, we study the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the dissipative wave equation in multi-dimensions. Using the fixed point theorem, we obtain the global existence of the solution. In addition, the pointwise estimates of the solution are obtained by the method of the Green function. Furthermore, we obtain the L p , 1 ⩽ p ⩽ ∞ , convergence rate of the solution.
Keywords
Green function , Pointwise estimates , Dissipative wave equation , Global-in-time existence
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560926
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