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math.SP2021★ 7 cited
Keller-type bounds for Dirac operators perturbed by rigid potentials
Haruya Mizutani, Nico Michele Schiavone
In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-selfadjoint Schrödinger operator to the Dirac operator, imposing some suitable rigidity…
math.AP2021
Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the final state problem for the inhomogeneous nonlinear Schrödinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a…