Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients

DOI10.4171/rmi/1233zbMath1467.35066arXiv1811.06393OpenAlexW3108756737MaRDI QIDQ2039475

Hongjie Dong, Phan Van Tuoc

Publication date: 5 July 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06393

zbMATH Keywords

weighted Sobolev spacesCalderón-Zygmund estimateselliptic and parabolic equations in non-divergence formssingular and degenerate coefficientsweighted mixed-norm estimates

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Singular elliptic equations (35J75) Singular parabolic equations (35K67) Strong solutions to PDEs (35D35)

Related Items (7)

Maximal regularity of parabolic equations associated with a discrete Laplacian ⋮ On parabolic and elliptic equations with singular or degenerate coefficients ⋮ Calderón-Zygmund estimates for nonlinear parabolic equations with matrix weights on nonsmooth domains ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ Maximal regularity of parabolic equations associated to generalized Hardy operators in weighted mixed-norm spaces ⋮ Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem

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