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Periodic Transmission Problems for the Heat Equation

In: Integral Methods in Science and Engineering

Author

Listed:
  • Paolo Luzzini

    (University of Padova, Dipartimento di Matematica “Tullio Levi-Civita”)

  • Paolo Musolino

    (University of Padova, Dipartimento di Matematica “Tullio Levi-Civita”)

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.

Suggested Citation

  • Paolo Luzzini & Paolo Musolino, 2019. "Periodic Transmission Problems for the Heat Equation," Springer Books, in: Christian Constanda & Paul Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 211-223, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-16077-7_17
    DOI: 10.1007/978-3-030-16077-7_17
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