Dependence of the layer heat potentials upon support perturbations

Matteo Dalla Riva; PAOLO LUZZINI

doi:10.57262/die036-1112-971

Dependence of the layer heat potentials upon support perturbations

Matteo Dalla Riva, PAOLO LUZZINI

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

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 Holder setting.

Lingua originale	Inglese
pagine (da-a)	971-1003
Numero di pagine	33
Rivista	Differential and Integral Equations
Volume	36
Numero di pubblicazione	11/12
DOI	https://doi.org/10.57262/die036-1112-971
Stato di pubblicazione	Pubblicato - 2023

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10.57262/die036-1112-971

https://hdl.handle.net/11579/178747

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title = "Dependence of the layer heat potentials upon support perturbations",

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 Holder setting.",

author = "Riva, {Matteo Dalla} and PAOLO LUZZINI",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s).",

year = "2023",

doi = "10.57262/die036-1112-971",

language = "English",

volume = "36",

pages = "971--1003",

journal = "Differential and Integral Equations",

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AU - Riva, Matteo Dalla

AU - LUZZINI, PAOLO

PY - 2023

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N2 - 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 Holder setting.

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U2 - 10.57262/die036-1112-971

DO - 10.57262/die036-1112-971

M3 - Article

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EP - 1003

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 11/12

ER -

Dependence of the layer heat potentials upon support perturbations

Abstract

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