Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610006 | Journal of Differential Equations | 2015 | 23 Pages |
Abstract
Abstract evolution differential equations of second order in time are studied in order to get (almost) optimal decay estimates to the corresponding energy functional of the equations. The framework is supported by a special energy method in the associated Fourier space. The constructed abstract theory can be applied to several concrete evolutionary partial differential equations as is illustrated in the last section of the paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cleverson Roberto da Luz, Ryo Ikehata, Ruy Coimbra Charão,