Title of article
Global existence of solutions for 2-D semilinear wave equations with dissipation localized near infinity in an exterior domain
Author/Authors
Ikehata، Ryo نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
-478
From page
479
To page
0
Abstract
We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in H1 o×L2. This problem is dealt with in the two-dimensional exterior domain with a star-shaped complement. In our result, a power p on the non-linear term |u|p is strictly larger than the two-dimensional Fujita-exponent
Keywords
2-D exterior mixed problem , critical exponent , global existence , small energy , localized dissipation , semilinear damped wave equation , non-compactly supported initial data
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Serial Year
2006
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Record number
48528
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