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- W3157302235 abstract "<p style='text-indent:20px;'>In this paper, we consider the 3D Jordan–Moore–Gibson–Thompson equation arising in nonlinear acoustics. First, we prove that the solution exists globally in time provided that the lower order Sobolev norms of the initial data are small, while the higher-order norms can be arbitrarily large. This improves some available results in the literature. Second, we prove a new decay estimate for the linearized model removing the <inline-formula><tex-math id=M1>begin{document}$ L^1 $end{document}</tex-math></inline-formula>-assumption on the initial data. The proof of this decay estimate is based on the high-frequency and low-frequency decomposition of the solution together with an interpolation inequality related to Sobolev spaces with negative order.</p>" @default.
- W3157302235 created "2021-05-10" @default.
- W3157302235 creator A5001203951 @default.
- W3157302235 date "2022-01-01" @default.
- W3157302235 modified "2023-10-18" @default.
- W3157302235 title "Global well-posedness of the Cauchy problem for the Jordan–Moore–Gibson–Thompson equation with arbitrarily large higher-order Sobolev norms" @default.
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- W3157302235 doi "https://doi.org/10.3934/dcds.2022066" @default.
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