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Global existence and finite-time blow-up for a strongly damped wave--MGT system with fully subcritical logarithmic nonlinearity

Ha, Tae Gab
arXiv (All) · Papers
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35b40analysis-of-pdes
We study a coupled strongly damped wave--Moore--Gibson--Thompson (MGT) system with logarithmic source $f(u)=|u|^{γ-2}u\ln|u|$ in the full Sobolev-subcritical range $2<γ<2^*:=2n/(n-2)$. The main difficulty is that, in this full range, the logarithmic nonlinearity does not admit the standard compactne
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