Article

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

Lihua DengSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaXianguang ShangSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China

2020en

ABI

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.

Identifiers

DOI: 10.1155/2020/1864087

Citations and references

Cited by 40 references

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