Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures

Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures

This paper is devoted to the Cauchy problem for a class of doubly degenerate parabolic equation with time-dependent gradient source, where the initial data are Radon measures. Using the delicate a priori estimates, we first establish two local existence results. Furthermore, we show that the existen...

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Main Authors: Lihua Deng, Xianguang Shang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/1864087
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spelling doaj-dde5e51d2c274a6c9dd1a22875cf46d12020-11-25T01:27:03ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/18640871864087Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data MeasuresLihua Deng0Xianguang Shang1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaThis paper is devoted to the Cauchy problem for a class of doubly degenerate parabolic equation with time-dependent gradient source, where the initial data are Radon measures. Using the delicate a priori estimates, we first establish two local existence results. Furthermore, we show that the existence of solutions is optimal in the class considered here.http://dx.doi.org/10.1155/2020/1864087
collection DOAJ
language English
format Article
sources DOAJ
author Lihua Deng
Xianguang Shang
spellingShingle Lihua Deng
Xianguang Shang
Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
Journal of Function Spaces
author_facet Lihua Deng
Xianguang Shang
author_sort Lihua Deng
title Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
title_short Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
title_full Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
title_fullStr Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
title_full_unstemmed Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures
title_sort doubly degenerate parabolic equation with time-dependent gradient source and initial data measures
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description This paper is devoted to the Cauchy problem for a class of doubly degenerate parabolic equation with time-dependent gradient source, where the initial data are Radon measures. Using the delicate a priori estimates, we first establish two local existence results. Furthermore, we show that the existence of solutions is optimal in the class considered here.
url http://dx.doi.org/10.1155/2020/1864087
work_keys_str_mv AT lihuadeng doublydegenerateparabolicequationwithtimedependentgradientsourceandinitialdatameasures
AT xianguangshang doublydegenerateparabolicequationwithtimedependentgradientsourceandinitialdatameasures
_version_ 1715767998875172864

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