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• W3138322022 abstract "In this paper, we consider the well-posedness of the inhomogeneous nonlinear biharmonic Schrodinger equation with spatial inhomogeneity coefficient $K(x)$ behaves like $left|xright|^{-b}$ for $0<b<min left{frac{N}{2},4right} $. We show the local well-posedness in the whole $H^s$-subcritical case, with $0<sle2$. The difficulties of this problem come from the singularity of $K(x)$ and the lack of differentiability of the nonlinear term. To resolve this, we derive the bilinear Strichartz's type estimates for the nonlinear biharmonic Schrodinger equations in Besov spaces." @default.
• W3138322022 created "2021-03-29" @default.
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• W3138322022 date "2021-03-15" @default.
• W3138322022 modified "2023-09-22" @default.
• W3138322022 title "Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrodinger equation" @default.
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• W3138322022 doi "https://doi.org/10.48550/arxiv.2103.08154" @default.
• W3138322022 hasPublicationYear "2021" @default.
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