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- W3206266247 abstract "<abstract><p>In this paper, we study global existence and blow-up of solutions to the viscous Moore-Gibson-Thompson (MGT) equation with the nonlinearity of derivative-type $ |u_t|^p $. We demonstrate global existence of small data solutions if $ p > 1+4/n $ ($ nleq 6 $) or $ pgeq 2-2/n $ ($ ngeq 7 $), and blow-up of nontrivial weak solutions if $ 1 < pleq 1+1/n $. Deeply, we provide estimates of solutions to the nonlinear problem. These results complete the recent works for semilinear MGT equations by <sup>[<xref ref-type=bibr rid=b4>4</xref>]</sup>.</p></abstract>" @default.
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- W3206266247 date "2021-01-01" @default.
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- W3206266247 title "Semilinear viscous Moore-Gibson-Thompson equation with the derivative-type nonlinearity: Global existence versus blow-up" @default.
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- W3206266247 doi "https://doi.org/10.3934/math.2022015" @default.
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