4 papers
Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations
Daniele Garrisi
We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applyi…
Multiple normalized standing-waves solutions to the scalar non-linear Klein-Gordon equation with two competing powers
Daniele Garrisi
In this work we prove the existence of standing-wave solutions to the scalar non-linear Klein-Gordon equation in dimension one and the stability of the ground-state, the set which…
Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one
Daniele Garrisi, Vladimir Georgiev
We show that symmetric and positive profiles of ground-state standing-wave of the non-linear Schrödinger equation are non-degenerate and unique up to a translation of the argument…
Orbital stability and uniqueness of the ground state for NLS in dimension one
Daniele Garrisi, Vladimir Georgiev
We prove that standing-waves solutions to the non-linear Schrödinger equation in dimension one whose profiles can be obtained as minima of the energy over the mass, are orbitally s…