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

Research output: Contribution to journal › Article › 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 Hölder setting.

Original language	English
Pages (from-to)	971-1003
Number of pages	33
Journal	Differential and Integral Equations
Volume	36
Issue number	11-12
DOIs	https://doi.org/10.57262/die036-1112-971
Publication status	Published - Nov 2023
Externally published	Yes

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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 H{\"o}lder setting.",

author = "Riva, \{Matteo Dalla\} and Paolo Luzzini",

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

year = "2023",

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

language = "English",

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AU - Riva, Matteo Dalla

AU - Luzzini, Paolo

PY - 2023/11

Y1 - 2023/11

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 Hölder setting.

AB - 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 Hölder setting.

UR - https://www.scopus.com/pages/publications/85164684948

U2 - 10.57262/die036-1112-971

DO - 10.57262/die036-1112-971

M3 - Article

SN - 0893-4983

VL - 36

SP - 971

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

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