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arXiv · 1911.01946

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

Tuan Anh Dao·Trieu Duong Pham
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Abstract

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.

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Tuan Anh Dao, Trieu Duong Pham. 2019-11-05. Critical exponent for a weakly coupled system of semi-linear $\sigma$-evolution equations with frictional damping. https://doi.org/10.1216/rmj.2022.52.299

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