A Remark on a Nonlocal-in-Time Heat Equation
arXiv:2211.06704
Abstract
Schauder's fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral of the unknown on the whole, a priori given, interval of existence.
To appear in C. R. Math. Acad. Sci. Paris