activity
20152021
most citedOn blowup for the supercritical quadratic wave equation

4 citations · 4 across the 2 of their papers we have counts for

collaborators

5 papers

math.AP2021★ 4 cited

On blowup for the supercritical quadratic wave equation

Elek Csobo, Irfan Glogić, Birgit Schörkhuber

We study singularity formation for the focusing quadratic wave equation in the energy supercritical case, i.e., for . We find in closed form a new, non-trivial, radial, s…

math.AP2020

Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line

Elek Csobo

We investigate the properties of standing waves to a nonlinear Schrödinger equation with inverse-square potential on the half-line. We first establish the existence of standing wav…

math.AP2018

Stability of Standing Waves for a Nonlinear Klein-Gordon Equation with Delta Potentials

Elek Csobo, François Genoud, Masahito Ohta +1

In this paper, we study local well-posedness and orbital stability of standing waves for a singularly perturbed one-dimensional nonlinear Klein-Gordon equation. We first establish…

math.AP2017

Minimal mass blow-up solutions for the critical NLS with inverse-square potential

Elek Csobo, François Genoud

We study minimal mass blow-up solutions of the focusing critical nonlinear Schrödinger equation with inverse-square potential, \[ i\partial_t u + Δu + \frac{c}{|x|^2}u+|u|^{\…

math.NA2015

Numerical reconstruction of pulsatile blood flow from 4D computer tomography angiography data

Attila Lovas, Róbert Nagy, Elek Csobo +2

We present a novel numerical algorithm developed to reconstuct pulsatile blood flow from ECG-gated CT angiography data. A block-based optimization method was constructed to solve t…