Tangential derivatives and higher-order regularizing properties of the double layer heat potential

Massimo Lanza De Cristoforis; Paolo Luzzini

doi:10.1515/anly-2018-0012

Tangential derivatives and higher-order regularizing properties of the double layer heat potential

Massimo Lanza De Cristoforis, Paolo Luzzini

Research output: Contribution to journal › Article › peer-review

Abstract

We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.

Original language	English
Pages (from-to)	167-193
Number of pages	27
Journal	Analysis (Germany)
Volume	38
Issue number	4
DOIs	https://doi.org/10.1515/anly-2018-0012
Publication status	Published - 1 Nov 2018
Externally published	Yes

Keywords

Integral operators in parabolic Schauder spaces
double layer heat potential

Access to Document

10.1515/anly-2018-0012

Cite this

@article{543ab8946b274ea88d93380b758bd6dd,

title = "Tangential derivatives and higher-order regularizing properties of the double layer heat potential",

abstract = "We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic H{\"o}lder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.",

keywords = "Integral operators in parabolic Schauder spaces, double layer heat potential",

author = "\{De Cristoforis\}, \{Massimo Lanza\} and Paolo Luzzini",

note = "Publisher Copyright: {\textcopyright} 2018 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2018",

month = nov,

day = "1",

doi = "10.1515/anly-2018-0012",

language = "English",

volume = "38",

pages = "167--193",

journal = "Analysis (Germany)",

issn = "0174-4747",

publisher = "Walter de Gruyter GmbH",

number = "4",

}

TY - JOUR

T1 - Tangential derivatives and higher-order regularizing properties of the double layer heat potential

AU - De Cristoforis, Massimo Lanza

AU - Luzzini, Paolo

PY - 2018/11/1

Y1 - 2018/11/1

N2 - We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.

AB - We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.

KW - Integral operators in parabolic Schauder spaces

KW - double layer heat potential

UR - https://www.scopus.com/pages/publications/85057325880

U2 - 10.1515/anly-2018-0012

DO - 10.1515/anly-2018-0012

M3 - Article

SN - 0174-4747

VL - 38

SP - 167

EP - 193

JO - Analysis (Germany)

JF - Analysis (Germany)

IS - 4

ER -

Tangential derivatives and higher-order regularizing properties of the double layer heat potential

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this