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arXiv:1911.01946 [math.AP]AbstractReferencesReviewsResources

Critical exponent for a weakly coupled system of semi-linear $σ$-evolution equations with frictional damping

Tuan Anh Dao, Trieu Duong Pham

Published 2019-11-05Version 1

We are interested in studying the Cauchy problem for a weakly coupled system of semi-linear $\sigma$-evolution equations with frictional damping. The main purpose of this paper is two-fold. We would like to not only prove the global (in time) existence of small data energy solutions but also indicate the blow-up result for Sobolev solutions when $\sigma$ is assumed to be any fractional number.

Comments: 18 pages
Categories: math.AP
Subjects: 35B33, 35L56, 35S05
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