Asymptotic behavior for abstract evolution differential equations of second order

Cleverson Roberto Da Luz,Ryo Ikehata,Ruy Coimbra Charão

doi:10.1016/j.jde.2015.06.012

Asymptotic behavior for abstract evolution differential equations of second order

Cleverson Roberto Da Luz, Ryo Ikehata + Show 1 more

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https://doi.org/10.1016/j.jde.2015.06.012

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Journal: Journal of Differential Equations	Publication Date: Jun 19, 2015
Citations: 21	License type: publisher-specific-oa

Affiliation: Universidade Federal de Santa Catarina, Hiroshima University

#Differential Equations Of Second Order #Equations Of Second Order + Show 8 more

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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.

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