Partially and globally overdetermined problems of elliptic type

Partially and globally overdetermined problems of elliptic type

We review some classical and recent results on overdetermined problems both in bounded and unbounded domains, and we discuss how to recover, in some circumstances, a globally overdetermined problem from a partially overdetermined one.

Bibliographic Details
Main Authors: Farina Alberto, Valdinoci Enrico
Format: Article
Language:English
Published: De Gruyter 2012-02-01
Series:Advances in Nonlinear Analysis
Subjects:
rigidity and symmetry results
classification of domains and solutions
overdetermined and inverse problems
Online Access:https://doi.org/10.1515/ana-2011-0002
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spelling doaj-0f0b4f037ce14580beb51fab7b9fc2fb2021-09-06T19:39:53ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2012-02-0111274510.1515/ana-2011-0002Partially and globally overdetermined problems of elliptic typeFarina Alberto0Valdinoci Enrico1Université de Picardie Jules Verne, LAMFA, CNRS UMR 6140, Amiens, France; and Università di Milano, Milan, ItalyDipartimento di Matematica, Università di Roma Tor Vergata, Rome, ItalyWe review some classical and recent results on overdetermined problems both in bounded and unbounded domains, and we discuss how to recover, in some circumstances, a globally overdetermined problem from a partially overdetermined one.https://doi.org/10.1515/ana-2011-0002rigidity and symmetry resultsclassification of domains and solutionsoverdetermined and inverse problems
collection DOAJ
language English
format Article
sources DOAJ
author Farina Alberto
Valdinoci Enrico
spellingShingle Farina Alberto
Valdinoci Enrico
Partially and globally overdetermined problems of elliptic type
Advances in Nonlinear Analysis
rigidity and symmetry results
classification of domains and solutions
overdetermined and inverse problems
author_facet Farina Alberto
Valdinoci Enrico
author_sort Farina Alberto
title Partially and globally overdetermined problems of elliptic type
title_short Partially and globally overdetermined problems of elliptic type
title_full Partially and globally overdetermined problems of elliptic type
title_fullStr Partially and globally overdetermined problems of elliptic type
title_full_unstemmed Partially and globally overdetermined problems of elliptic type
title_sort partially and globally overdetermined problems of elliptic type
publisher De Gruyter
series Advances in Nonlinear Analysis
issn 2191-9496
2191-950X
publishDate 2012-02-01
description We review some classical and recent results on overdetermined problems both in bounded and unbounded domains, and we discuss how to recover, in some circumstances, a globally overdetermined problem from a partially overdetermined one.
topic rigidity and symmetry results
classification of domains and solutions
overdetermined and inverse problems
url https://doi.org/10.1515/ana-2011-0002
work_keys_str_mv AT farinaalberto partiallyandgloballyoverdeterminedproblemsofelliptictype
AT valdinocienrico partiallyandgloballyoverdeterminedproblemsofelliptictype
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