November/December 2023 Dependence of the layer heat potentials upon support perturbations
Matteo Dalla Riva, Paolo Luzzini
Differential Integral Equations 36(11/12): 971-1003 (November/December 2023). DOI: 10.57262/die036-1112-971

Abstract

We prove that the integral operators associated with the layer heat potentials depend smoothly upon a parametrization of the support of integration. The analysis is carried out in the optimal H\"older setting.

Citation

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Matteo Dalla Riva. Paolo Luzzini. "Dependence of the layer heat potentials upon support perturbations." Differential Integral Equations 36 (11/12) 971 - 1003, November/December 2023. https://doi.org/10.57262/die036-1112-971

Information

Published: November/December 2023
First available in Project Euclid: 21 June 2023

Digital Object Identifier: 10.57262/die036-1112-971

Subjects:
Primary: 31B10 , 35K05 , 35K20 , 47G10

Rights: Copyright © 2023 Khayyam Publishing, Inc.

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Vol.36 • No. 11/12 • November/December 2023
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