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A generalized interpolation inequality and its application to the stabilization of damped equations
- Source :
-
Journal of Differential Equations . Sep2007, Vol. 240 Issue 2, p324-356. 33p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we establish a generalized Hölder''s or interpolation inequality for weighted spaces in which the weights are non-necessarily homogeneous. We apply it to the stabilization of some damped wave-like evolution equations. This allows obtaining explicit decay rates for smooth solutions for more general classes of damping operators. In particular, for models, we can give an explicit decay estimate for pointwise damping mechanisms supported on any strategic point. [Copyright &y& Elsevier]
- Subjects :
- *NUMERICAL analysis
*VIBRATION (Mechanics)
*WAVES (Physics)
*DIFFERENTIAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 240
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 26146718
- Full Text :
- https://doi.org/10.1016/j.jde.2007.06.003