Parabolic Systems with measurable coefficients in weighted Sobolev spaces
Author:
Affiliation:
1. Department of Mathematics, Korea University, Anam-ro 145, Sungbuk-gu, Seoul, 02841, Republic of Korea
2. Department of Mathematics, Ajou University, World cup-ro 206, Yeongtong-gu, Suwon, 16499, Republic of Korea
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Analysis,General Medicine
Reference24 articles.
1. Sun-Sig Byun, Lihe Wang.Elliptic equations with measurable coefficients in Reifenberg domains, Adv. Math., 225 (2010), 2648-2673.
2. Hongjie Dong.Recent progress in the $L_p$ theory for elliptic and parabolic equations with discontinuous coefficients, Anal. Theory Appl., 36 (2020), 161-199.
3. Hongjie Dong, Doyoon Kim.Elliptic equations in divergence form with partially BMO coefficients, Arch. Ration. Mech. Anal., 196 (2010), 25-70.
4. Hongjie Dong, Doyoon Kim.$L_p$ solvability of divergence type parabolic and elliptic systems with partially BMO coefficients, Calc. Var. Partial Differ. Equ., 40 (2011), 357-389.
5. Hongjie Dong, Doyoon Kim.On the $L_p$-solvability of higher order parabolic and elliptic systems with BMO coefficients, Arch. Ration. Mech. Anal., 199 (2011), 889-941.
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Weighted mixed-norm L estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem;Journal of Functional Analysis;2023-07
2. Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces;Stochastics and Partial Differential Equations: Analysis and Computations;2022-11-18
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