3 citations · 6 across the 6 of their papers we have counts for
7 papers
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…
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction
Anudeep K. Arora, Christof Sparber
We study the cubic-quartic nonlinear Schrödinger equation (NLS) in two and three spatial dimension. This equation arises in the mean-field description of Bose-Einstein condensates…
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 ,…