Showing math.APShow all
2 papers · 1 filter
math.AP2020
On Wiener's Violent Oscillations, Popov's curves and Hopf's Supercritical Bifurcation for a Scalar Heat Equation
Patrick Guidotti, Sandro Merino
A parameter dependent perturbation of the spectrum of the scalar Laplacian is studied for a class of nonlocal and non-self-adjoint rank one perturbations. A detailed description of…
math.AP2019
On the Maximal Parameter Range of Global Stability for a Nonlocal Thermostat Model
Patrick Guidotti, Sandro Merino
The global asymptotic stability of the unique steady state of a nonlinear scalar parabolic equation with a nonlocal boundary condition is studied. The equation describes the evolut…