Initial‐to‐Interface Maps for the Heat Equation on Composite Domains |
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| Authors: | Natalie E. Sheils Bernard Deconinck |
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| Affiliation: | 1. University of Minnesota;2. University of Washington |
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| Abstract: | A map from the initial conditions to the function and its first spatial derivative evaluated at the interface is constructed for the heat equation on finite and infinite domains with n interfaces. The existence of this map allows changing the problem at hand from an interface problem to a boundary value problem which allows for an alternative to the approach of finding a closed‐form solution to the interface problem. |
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