Initial-to-Interface Maps for the Heat Equation on Composite Domains

Natalie E. Sheils, Bernard Deconinck

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)140-154
Number of pages15
JournalStudies in Applied Mathematics
Issue number1
StatePublished - Jul 1 2016

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© 2016 Wiley Periodicals, Inc., A Wiley Company


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