A brief note on Harnack-type estimates for singular parabolic nonlinear operators

In this brief note we introduce Harnack-type inequalities, which are typical in the context of singular nonlinear parabolic operators, and describe their state of art in the context of anisotropic operators.

Bibliographic Details
Main Authors: Eurica Henriques, Simone Ciani
Format: Article
Language:English
Published: University of Bologna 2024-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/18849
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author Eurica Henriques
Simone Ciani
author_facet Eurica Henriques
Simone Ciani
author_sort Eurica Henriques
collection DOAJ
description In this brief note we introduce Harnack-type inequalities, which are typical in the context of singular nonlinear parabolic operators, and describe their state of art in the context of anisotropic operators.
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spelling doaj.art-43a3d7a84fc148e5bde3b3c7d0cbd12c2024-01-10T08:48:10ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292024-01-01142567610.6092/issn.2240-2829/1884917211A brief note on Harnack-type estimates for singular parabolic nonlinear operatorsEurica Henriques0Simone Ciani1Departmento de Matemática, Universidade de Trás-os-Montes e Alto Douro; centro CMAT; PortugalDipartimento di Matematica, Università di BolognaIn this brief note we introduce Harnack-type inequalities, which are typical in the context of singular nonlinear parabolic operators, and describe their state of art in the context of anisotropic operators.https://mathematicalanalysis.unibo.it/article/view/18849singular parabolic equationsanisotropic parabolic equationsharnack-type inequalities
spellingShingle Eurica Henriques
Simone Ciani
A brief note on Harnack-type estimates for singular parabolic nonlinear operators
Bruno Pini Mathematical Analysis Seminar
singular parabolic equations
anisotropic parabolic equations
harnack-type inequalities
title A brief note on Harnack-type estimates for singular parabolic nonlinear operators
title_full A brief note on Harnack-type estimates for singular parabolic nonlinear operators
title_fullStr A brief note on Harnack-type estimates for singular parabolic nonlinear operators
title_full_unstemmed A brief note on Harnack-type estimates for singular parabolic nonlinear operators
title_short A brief note on Harnack-type estimates for singular parabolic nonlinear operators
title_sort brief note on harnack type estimates for singular parabolic nonlinear operators
topic singular parabolic equations
anisotropic parabolic equations
harnack-type inequalities
url https://mathematicalanalysis.unibo.it/article/view/18849
work_keys_str_mv AT euricahenriques abriefnoteonharnacktypeestimatesforsingularparabolicnonlinearoperators
AT simoneciani abriefnoteonharnacktypeestimatesforsingularparabolicnonlinearoperators
AT euricahenriques briefnoteonharnacktypeestimatesforsingularparabolicnonlinearoperators
AT simoneciani briefnoteonharnacktypeestimatesforsingularparabolicnonlinearoperators