Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation
Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation
We are interested in a non-local partial differential equation modeling equal mitosis. We prove that the solutions present persistent asymptoticoscillations and that the convergence to this periodic behavior, in suitable spaces of weighted signed measures, occurs exponentially fast. It can beseen as a result of spectral gap between the countable …