2 citations · 2 across the 2 of their papers we have counts for
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Threshold solutions for the Hartree equation
Anudeep K. Arora, Svetlana Roudenko
We consider the focusing d Hartree equation, which is -supercritical, with finite energy initial data, and investigate the solutions at the mass-energy threshold. We establ…
Well-posedness in weighted spaces for the generalized Hartree equation with
Anudeep K. Arora, Oscar Riaño, Svetlana Roudenko
We investigate the well-posedness in the generalized Hartree equation , , , for low powers of nonlinea…
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}…
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…
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 ,…
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…