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Periodic Transmission Problems for the Heat Equation

Paolo Luzzini () and Paolo Musolino ()
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Paolo Luzzini: University of Padova, Dipartimento di Matematica “Tullio Levi-Civita”
Paolo Musolino: University of Padova, Dipartimento di Matematica “Tullio Levi-Civita”

Chapter Chapter 17 in Integral Methods in Science and Engineering, 2019, pp 211-223 from Springer

Abstract: Abstract We consider two space-periodic transmission problems for the heat equation. By means of space-periodic layer heat potentials, we convert the problems into systems of integral equations. Then we establish the invertibility of the operators appearing in the integral equations and we deduce the unique solvability in parabolic Schauder spaces of the transmission problems.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_17

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DOI: 10.1007/978-3-030-16077-7_17

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