A Remark on a Nonlocal-in-Time Heat Equation
Analysis of PDEs
2022-11-15 v1
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.
Keywords
Cite
@article{arxiv.2211.06704,
title = {A Remark on a Nonlocal-in-Time Heat Equation},
author = {Christoph Walker},
journal= {arXiv preprint arXiv:2211.06704},
year = {2022}
}
Comments
To appear in C. R. Math. Acad. Sci. Paris