Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients-Reference-Cited by-同舟云学术

Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients

Published:2021-04-01 Issue: Volume: Page:1-15
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Thanh Bui Le Trong¹²,Nguyen Quoc-Hung³

Affiliation:

1. Faculty of Mathematics and Computer Science, University of Science, 227 Nguyen Van Cu, D. 5, Ho Chi Minh City, Vietnam

2. Vietnam National University, Ho Chi Minh City, Vietnam. E-mail: bltthanh@hcmus.edu.vn

3. ShanghaiTech University, 393 Middle Huaxia Road, Pudong, Shanghai, 201210, China. E-mail: qhnguyen@shanghaitech.edu.cn

Abstract

In this paper, we give a short proof of the Lorentz estimates for gradients of very weak solutions to the linear parabolic equations with the Muckenhoupt class A q -weights u t − div ( A ( x , t ) ∇ u ) = div ( F ) , in a bounded domain Ω × ( 0 , T ) ⊂ R N + 1 , where A has a small mean oscillation, and Ω is a Lipchistz domain with a small Lipschitz constant.

Publisher

IOS Press

Subject

General Mathematics

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