A Serrin-type problem with partial knowledge of the domain

Serena Dipierro; Giorgio Poggesi; Enrico Valdinoci

doi:10.1016/j.na.2021.112330

A Serrin-type problem with partial knowledge of the domain

Serena Dipierro, Giorgio Poggesi, Enrico Valdinoci

Mathematics and Statistics

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

12 Citations (Scopus)

191 Downloads (Pure)

Abstract

We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω⊂R^N, when the equation is known on Ω∖ω¯ only, for some open subset ω⋐Ω. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.

Original language	English
Article number	112330
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	208
DOIs	https://doi.org/10.1016/j.na.2021.112330
Publication status	Published - Jul 2021

Access to Document

10.1016/j.na.2021.112330

Dipierro, et al., 2020 A serrin-type problem with partialSubmitted manuscript, 797 KB

Cite this

@article{b8be8bf3f82746ba91b590c8754a64c1,

title = "A Serrin-type problem with partial knowledge of the domain",

abstract = "We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω⊂RN, when the equation is known on Ω∖ω¯ only, for some open subset ω⋐Ω. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.",

keywords = "Integral identities, Quantitative estimates, Serrin's overdetermined problem, Stability, Torsional rigidity",

author = "Serena Dipierro and Giorgio Poggesi and Enrico Valdinoci",

year = "2021",

month = jul,

doi = "10.1016/j.na.2021.112330",

language = "English",

volume = "208",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier",

}

TY - JOUR

T1 - A Serrin-type problem with partial knowledge of the domain

AU - Dipierro, Serena

AU - Poggesi, Giorgio

AU - Valdinoci, Enrico

PY - 2021/7

Y1 - 2021/7

N2 - We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω⊂RN, when the equation is known on Ω∖ω¯ only, for some open subset ω⋐Ω. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.

AB - We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω⊂RN, when the equation is known on Ω∖ω¯ only, for some open subset ω⋐Ω. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.

KW - Integral identities

KW - Quantitative estimates

KW - Serrin's overdetermined problem

KW - Stability

KW - Torsional rigidity

UR - http://www.scopus.com/inward/record.url?scp=85102395240&partnerID=8YFLogxK

U2 - 10.1016/j.na.2021.112330

DO - 10.1016/j.na.2021.112330

M3 - Article

AN - SCOPUS:85102395240

SN - 0362-546X

VL - 208

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 112330

ER -

A Serrin-type problem with partial knowledge of the domain

Abstract

Access to Document

Other files and links

Fingerprint

Partial Differential Equations, free boundaries and applications

Nonlocal Equations at Work

Cite this

A Serrin-type problem with partial knowledge of the domain

Abstract

Access to Document

Other files and links

Fingerprint

Projects

Partial Differential Equations, free boundaries and applications

Nonlocal Equations at Work

Cite this