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20192022
most citedOn well-posedness and blow-up in the generalized Hartree equation

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2019★ 2 cited

On well-posedness and blow-up in the generalized Hartree equation

Anudeep K. Arora, Svetlana Roudenko

We study the generalized Hartree equation, which is a nonlinear Schrödinger-type equation with a nonlocal potential $iu_t + Δu + (|x|^{-b} \ast |u|^p)|u|^{p-2}u=0, x \in \mathbb{R}…

math.AP2019

Scattering below the ground state for the 2 radial nonlinear Schrödinger equation

Anudeep Kumar Arora, Benjamin Dodson, Jason Murphy

We revisit the problem of scattering below the ground state threshold for the mass-supercritical focusing nonlinear Schrödinger equation in two space dimensions. We present a simpl…

math.AP2019

Scattering of radial data in the focusing NLS and generalized Hartree equations

Anudeep Kumar Arora

We consider the focusing nonlinear Schrödinger equation , and the generalized Hartree equation ,…

math.AP2019

Global behavior of solutions to the focusing generalized Hartree equation

Anudeep Kumar Arora, Svetlana Roudenko

We study the global behavior of solutions to the nonlinear generalized Hartree equation, where the nonlinearity is of the non-local type and is expressed as a convolution, $$ i u_t…