Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation
نویسندگان
چکیده
In this paper, we consider the well-posedness of inhomogeneous nonlinear biharmonic Schrödinger equation with spatial inhomogeneity coefficient K(x) behaves like |x|−b for 0<b<min{N2,4}. We show local in whole Hs-subcritical case, 0<s≤2. The difficulties problem come from singularity and lack differentiability term. To resolve this, derive bilinear Strichartz's type estimates equations Besov spaces.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.06.007