A Remark on a Nonlocal-in-Time Heat Equation

Christoph Walker

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arXiv · 2211.06704

A Remark on a Nonlocal-in-Time Heat Equation

Christoph Walker

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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.

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Christoph Walker. 2022-11-12. A Remark on a Nonlocal-in-Time Heat Equation. https://arxiv.org/abs/2211.06704

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