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Modulation space estimates for damped fractional wave equation

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Abstract

Instead of the L p estimates, we study the modulation space estimates for the solution to the damped wave equation. Decay properties for both the linear and semilinear equations are obtained. The estimates in modulation space differ in many aspects from those in L p space.

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Dianzi University, Hangzhou, 310017, China

    ChunJie Zhang, YuHuai Zhang & FangFang Ren

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  1. ChunJie Zhang
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  2. YuHuai Zhang
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  3. FangFang Ren
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Correspondence to ChunJie Zhang.

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Zhang, C., Zhang, Y. & Ren, F. Modulation space estimates for damped fractional wave equation. Sci. China Math. 59, 687–696 (2016). https://doi.org/10.1007/s11425-015-5082-5

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  • DOI: https://doi.org/10.1007/s11425-015-5082-5

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