An order approach to SPDEs with antimonotone terms

We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a com...

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Detalles Bibliográficos
Autores principales: Scarpa, Luca, Stefanelli, Ulisse
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7661428/
https://www.ncbi.nlm.nih.gov/pubmed/33194533
http://dx.doi.org/10.1007/s40072-019-00161-7
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author Scarpa, Luca
Stefanelli, Ulisse
author_facet Scarpa, Luca
Stefanelli, Ulisse
author_sort Scarpa, Luca
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description We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.
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spelling pubmed-76614282020-11-13 An order approach to SPDEs with antimonotone terms Scarpa, Luca Stefanelli, Ulisse Stoch Partial Differ Equ Article We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle. Springer US 2020-01-03 2020 /pmc/articles/PMC7661428/ /pubmed/33194533 http://dx.doi.org/10.1007/s40072-019-00161-7 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Scarpa, Luca
Stefanelli, Ulisse
An order approach to SPDEs with antimonotone terms
title An order approach to SPDEs with antimonotone terms
title_full An order approach to SPDEs with antimonotone terms
title_fullStr An order approach to SPDEs with antimonotone terms
title_full_unstemmed An order approach to SPDEs with antimonotone terms
title_short An order approach to SPDEs with antimonotone terms
title_sort order approach to spdes with antimonotone terms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7661428/
https://www.ncbi.nlm.nih.gov/pubmed/33194533
http://dx.doi.org/10.1007/s40072-019-00161-7
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