activity
20072023
most citedNew Estimates for a Time-Dependent Schroedinger Equation

58 citations · 217 across the 23 of their papers we have counts for

collaborators

26 papers

math.AP2023

Spectral multipliers III: Endpoint bounds, intertwining operators, and twisted Hardy spaces

Marius Beceanu, Michael Goldberg

We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on to the case of perturbed Hamiltonians of the form , where …

math.AP2023

Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means

Marius Beceanu, Michael Goldberg

We establish estimates for the Poisson kernel, the heat kernel, and Bochner--Riesz means defined in terms of , where is a possibly large rough real-valued scalar potent…

math.AP2022

Spectral multipliers and wave propagation for Hamiltonians with a scalar potential

Marius Beceanu, Michael Goldberg

We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on to the case of perturbed Hamiltonians of the form , where i…

math.AP2021★ 2 cited

Strichartz estimates for the Klein--Gordon equation in

Marius Beceanu, Gong Chen

In this paper we prove standard and reversed Strichartz estimates for the Klein--Gordon equation in . Instead of the Fourier theory, our analysis is based on fund…

math.AP2019★ 1 cited

A semilinear Schroedinger equation with random potential

Marius Beceanu, Avy Soffer

We study a non-linear Schroedinger equation with a Hartree-type nonlinearity and a localized random time-dependent external potential. Sharp dispersive estimates for the linear Sch…

math.AP2019★ 3 cited

Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases

Marius Beceanu, Qingquan Deng, Avy Soffer +1

In this work, we mainly focus on the energy-supercritical nonlinear Schrödinger equation, with and $p>\…