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arXiv:1706.07174 [math.AP]AbstractReferencesReviewsResources

Asymptotic profile of solutions for some wave equations with very strong structural damping

Ryo Ikehata, Shin Iyota

Published 2017-06-22Version 1

We consider the Cauchy problem in R^n for some types of damped wave equations. We derive asymptotic profiles of solutions with weighted L^{1,1}(R^n) initial data by employing a simple method introduced by the first author. The obtained results will include regularity loss type estimates, which are essentially new in this kind of equations.

Comments: 20 pages
Categories: math.AP
Subjects: 35L15, 35L05, 35B40, 35B65
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