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math.AP2022
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…
math.AP2022
Orbital stability and concentration of standing waves to nonlinear Schrödinger systems with mass critical exponent
Daniele Garrisi, Tianxiang Gou
For a nonlinear Schrödinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying ene…