A Remark on a Nonlocal-in-Time Heat Equation
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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Main Author: | Walker, Christoph |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2023-05-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.443/ |
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