23 citations · 35 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
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|^{\…