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Byun, S., Palagachev, D. and Ryu, S. (2013) weighted W1,p estimates for solutions of non-linear parabolic equations over non-smooth domains. Bulletin of the London Mathematical Society, 45, 765-778.

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• 标题: 双调和抛物方程的加权Lp估计Weighted Lp Estimates for the Bi-Harmonic Parabolic Equation

  作者: 于华翠

  关键字: 双调和抛物方程, 加权, Lp估计, 正则性估计Bi-Harmonic Parabolic Equation, Weighted, Lp Estimates, Regularity Estimates

  期刊名称: 《Pure Mathematics》, Vol.5 No.2, 2015-03-03

  摘要: Schauder估计和LP估计是偏微分方程基本的正则性估计。本文我们主要研究双调和抛物方程的一类新的正则性估计——加权LP估计。Schauder estimates and LP estimates are the basic regularity estimates in the partial differential equations. In this paper we mainly study a new class of regularity estimates, weighted LP esti-mates for the bi-harmonic parabolic equation.