(Springer Nature, 2022-5-3)
Besteiro, Agustin Tomas; Rial, Diego
In this paper, we study the initial value problem for parabolic
non-autonomous equations with multiple nonlinearities. We develop a
splitting method that allows us to analyze equations with several nonlinear terms. We use the method to prove well-posedness of the fractional one-dimensional nonlinear heat equation, with a potential term in
almost periodic spaces.