Energy scattering for a class of inhomogeneous nonlinear Schrodinger equation in two dimensions

We consider a class of L-2-supercritical inhomogeneous nonlinear Schrodinger equations in two dimensions i partial derivative(t)u + Delta u = +/-|x|(-b)|u|(alpha)u, (t,x) is an element of R x R-2, where 0 < b < 1 and alpha > 2 - b. Using a new approach of Arora et al. [Scattering below the ground state for the 2D radial nonlinear Schrodinger equation, Proc. Amer. Math. Soc. 148 (2020) 1653-1663], we show the energy scattering for the equation with radially symmetric initial data. In the focusing case, our result extends the one of Farah and Guzman [Scattering for the radial focusing INLS equation in higher dimensions, Bull. Braz. Math. Soc. (N.S.) 51 (2020) 449-512] to the whole range of b where the local well-posedness is available. In the defocusing case, our result extends the one in [V. D. Dinh, Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrodinger equation, J. Evol. Equ. 19(2) (2019) 411-434], where the energy scattering for non-radial initial data was established in dimensions N >= 3.