44 citations · 265 across the 51 of their papers we have counts for
53 papers
Lifespan estimates for 1d damped wave equation with zero moment initial data
Kazumasa Fujiwara, Vladimir Georgiev
In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case when the Fourier 0th moment of sum o…
Degeneracy and multiplicity of standing-waves of the one-dimensional non-linear Schrödinger equation for a class of algebraic non-linearities
Daniele Garrisi, Vladimir Georgiev
We study the existence, the stability and the non-degeneracy of normalized standing-waves solutions to a one dimensional non-linear Schrödinger equation. The non-linearity belongs…
Local and global solutions on arcs for the Ericksen -- Leslie problem in the whole space
Daniele Barbera, Vladimir Georgiev
The work deals with the Ericksen-Leslie System for nematic liquid crystals on the whole space. In our work we suppose the initial condition of the orientation field stays on an arc…
On extended lifespan for 1d damped wave equation
Kazumasa Fujiwara, Vladimir Georgiev
In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case, when the sum of initial position an…
Blowup dynamics for mass critical Half-wave equation in 2D
Vladimir Georgiev, Yuan Li
We consider the half-wave equation in two dimensions. For the initial data , , we obtain the non-radia…
Standing waves and global well-posedness for the 2d Hartree equation with a point interaction
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We study a class of two-dimensional non-linear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the fr…