Lorentz estimates for a class of nonlinear parabolic systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Yao, Fengping¹ 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

关键词: Lorentz estimates;    Gradient;    Regularity;    Divergence;    Parabolic;    Quasilinear;   

DOI  :  10.1016/j.jde.2018.08.021

来源: Elsevier

【 摘 要 】

In this paper we obtain the following local Lorentz estimates B (vertical bar F vertical bar) is an element of B L-loc(gamma,q) double right arrow B (vertical bar del u vertical bar) is an element of L-loc(gamma,q) for any gamma > 1 and 0 < q <= infinity of the weak solutions for a class of quasilinear parabolic systems u(t) - div (a (vertical bar del u vertical bar)del(u)) = div (a (vertical bar F vertical bar) F), where B(t) = integral(t)(0) tau a (tau) d tau for t >= 0. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free