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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Bibliographic Details
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