Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures-Reference-Cited by-同舟云学术

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

Published:2020-01-13 Issue: Volume:2020 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Deng Lihua¹^ORCID,Shang Xianguang²

Affiliation:

1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

2. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China

Abstract

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.

Funder

Foundation for University Key Teacher by the Henan Province

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/1864087.pdf

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1. Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

2. Dynamic Scaling of Growing Interfaces

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