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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… Click to show full 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.
Keywords:
equations frictional;
weakly coupled;
evolution equations;
frictional damping;
coupled system
Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2022
Link to full text (if available)
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Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!