Differential Harnack Estimates for a Semilinear Parabolic System

In this paper, we prove differential Harnack inequalities for positive solutions of a semilinear parabolic system on hyperbolic space. We use the inequalities to construct classical Harnack estimates by integrating along space-time.

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Bibliographic Details
Main Author: Hui Wu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/1314268
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author Hui Wu
author_facet Hui Wu
author_sort Hui Wu
collection DOAJ
description In this paper, we prove differential Harnack inequalities for positive solutions of a semilinear parabolic system on hyperbolic space. We use the inequalities to construct classical Harnack estimates by integrating along space-time.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2019-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-69da1f531f7e4774b9cddf3dc483df9f2025-02-03T01:28:46ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/13142681314268Differential Harnack Estimates for a Semilinear Parabolic SystemHui Wu0School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaIn this paper, we prove differential Harnack inequalities for positive solutions of a semilinear parabolic system on hyperbolic space. We use the inequalities to construct classical Harnack estimates by integrating along space-time.http://dx.doi.org/10.1155/2019/1314268
spellingShingle Hui Wu
Differential Harnack Estimates for a Semilinear Parabolic System
Journal of Function Spaces
title Differential Harnack Estimates for a Semilinear Parabolic System
title_full Differential Harnack Estimates for a Semilinear Parabolic System
title_fullStr Differential Harnack Estimates for a Semilinear Parabolic System
title_full_unstemmed Differential Harnack Estimates for a Semilinear Parabolic System
title_short Differential Harnack Estimates for a Semilinear Parabolic System
title_sort differential harnack estimates for a semilinear parabolic system
url http://dx.doi.org/10.1155/2019/1314268
work_keys_str_mv AT huiwu differentialharnackestimatesforasemilinearparabolicsystem