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- W2971331008 abstract "We investigate the initial value problem for the generalized double dispersion equation in any dimensions. Inspired by [28] for the hyperbolic system of first order PDEs, we develop Littlewood-Paley pointwise energy estimates for the dissipative wave equation of high-order. Furthermore, with aid of the frequency-localization Duhamel principle, we establish the global existence and optimal decay estimates of solutions in spatially critical Besov spaces. Our results could hold true for any dimensions (n≥1). Indeed, the proofs are different in case of high dimensions and low dimensions owing to interpolation tricks." @default.
- W2971331008 created "2019-09-05" @default.
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- W2971331008 date "2020-01-01" @default.
- W2971331008 modified "2023-10-03" @default.
- W2971331008 title "Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces" @default.
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- W2971331008 doi "https://doi.org/10.1016/j.jmaa.2019.123455" @default.
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