Asymptotic behavior for abstract evolution differential equations of second order

作者：da Luz Cleverson Roberto; Ikehata Ryo; Charao Ruy Coimbra^*

来源：Journal of Differential Equations, 2015, 259(10): 5017-5039.

DOI：10.1016/j.jde.2015.06.012

• Abstract evolution equation
• 2nd order
• Energy method
• Fourier space
• Optimal decay rates

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.

• 出版日期2015-11-15