Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation

2021/03/15 by Liu, Xuan, Zhang, Ting · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.08154

Abstract

In this paper, we consider the well-posedness of the inhomogeneous nonlinear biharmonic Schrödinger equation with spatial inhomogeneity coefficient K(x) behaves like |x|^-b for 0<b></b>

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• Biharmonic non-linear Schrödinger equation with an unbounded inhomogeneous term
• A note on the fourth-order Schrodinger equation with spatially growing inhomogeneous source term

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