Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms. (English) Zbl 1501.35243 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 5, 20 p. (2023). MSC: 35K20 35B65 35R05 PDFBibTeX XMLCite \textit{J. Choi} et al., Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 5, 20 p. (2023; Zbl 1501.35243) Full Text: DOI arXiv
Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan Optimal regularity of mixed Dirichlet-conormal boundary value problems for parabolic operators. (English) Zbl 1484.35103 SIAM J. Math. Anal. 54, No. 2, 1393-1427 (2022). MSC: 35B65 35K20 35R05 PDFBibTeX XMLCite \textit{J. Choi} et al., SIAM J. Math. Anal. 54, No. 2, 1393--1427 (2022; Zbl 1484.35103) Full Text: DOI arXiv
Dong, Hongjie; Yastrzhembskiy, Timur Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations. arXiv:2209.00769 Preprint, arXiv:2209.00769 [math.AP] (2022). MSC: 35K70 35H10 35B45 35K15 35R05 BibTeX Cite \textit{H. Dong} and \textit{T. Yastrzhembskiy}, ``Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations'', Preprint, arXiv:2209.00769 [math.AP] (2022) Full Text: arXiv OA License
Dong, Hongjie; Kim, Doyoon Time fractional parabolic equations with measurable coefficients and embeddings for fractional parabolic Sobolev spaces. (English) Zbl 1486.35422 Int. Math. Res. Not. 2021, No. 22, 17563-17610 (2021). MSC: 35R11 35K15 35K20 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Int. Math. Res. Not. 2021, No. 22, 17563--17610 (2021; Zbl 1486.35422) Full Text: DOI arXiv
Dong, Hongjie; Kim, Doyoon \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time. (English) Zbl 1447.35352 Adv. Math. 345, 289-345 (2019). MSC: 35R11 35K15 26A33 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Adv. Math. 345, 289--345 (2019; Zbl 1447.35352) Full Text: DOI arXiv
Kim, Doyoon; Dong, Hongjie; Zhang, Hong Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces. (English) Zbl 1351.35039 Discrete Contin. Dyn. Syst. 36, No. 9, 4895-4914 (2016). MSC: 35J25 35K20 35R05 PDFBibTeX XMLCite \textit{D. Kim} et al., Discrete Contin. Dyn. Syst. 36, No. 9, 4895--4914 (2016; Zbl 1351.35039) Full Text: DOI arXiv
Dong, Hongjie; Zhang, Hong Conormal problem of higher-order parabolic systems with time irregular coefficients. (English) Zbl 1334.35090 Trans. Am. Math. Soc. 368, No. 10, 7413-7460 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K52 35J58 35B45 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{H. Zhang}, Trans. Am. Math. Soc. 368, No. 10, 7413--7460 (2016; Zbl 1334.35090) Full Text: DOI arXiv Link
Dong, Hongjie; Kim, Doyoon Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces. (English) Zbl 1373.35114 Adv. Math. 274, 681-735 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35J25 35K20 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Adv. Math. 274, 681--735 (2015; Zbl 1373.35114) Full Text: DOI arXiv
Dong, Hongjie; Zhang, Hong Schauder estimates for higher-order parabolic systems with time irregular coefficients. (English) Zbl 1323.35073 Calc. Var. Partial Differ. Equ. 54, No. 1, 47-74 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35K52 35J58 35B45 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{H. Zhang}, Calc. Var. Partial Differ. Equ. 54, No. 1, 47--74 (2015; Zbl 1323.35073) Full Text: DOI arXiv
Dong, Hongjie; Li, Dong On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. (English) Zbl 1302.35334 Trans. Am. Math. Soc. 366, No. 4, 2041-2061 (2014). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35B44 35B65 35R11 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Li}, Trans. Am. Math. Soc. 366, No. 4, 2041--2061 (2014; Zbl 1302.35334) Full Text: DOI arXiv
Dong, Hongjie; Krylov, N. V.; Li, Xu On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains. (English. Russian original) Zbl 1278.35133 St. Petersbg. Math. J. 24, No. 1, 39-69 (2013); translation from Algebra Anal. 24, No. 1, 53-94 (2012). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K61 35B65 35R05 PDFBibTeX XMLCite \textit{H. Dong} et al., St. Petersbg. Math. J. 24, No. 1, 39--69 (2013; Zbl 1278.35133); translation from Algebra Anal. 24, No. 1, 53--94 (2012) Full Text: DOI arXiv
Dong, H. Parabolic equations with variably partially VMO coefficients. (English) Zbl 1252.35149 St. Petersbg. Math. J. 23, No. 3, 521-539 (2012) and Algebra Anal. 23, No. 3, 150-174 (2011). Reviewer: Lubomira Softova (Aversa) MSC: 35K15 35R05 35A01 35B65 PDFBibTeX XMLCite \textit{H. Dong}, St. Petersbg. Math. J. 23, No. 3, 521--539 (2012; Zbl 1252.35149) Full Text: DOI arXiv
Dong, Hongjie; Kim, Doyoon Parabolic and elliptic systems in divergence form with variably partially BMO coefficients. (English) Zbl 1230.35045 SIAM J. Math. Anal. 43, No. 3, 1075-1098 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 35K51 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, SIAM J. Math. Anal. 43, No. 3, 1075--1098 (2011; Zbl 1230.35045) Full Text: DOI arXiv
Dong, Hongjie; Kim, Doyoon \(L_p\) solvability of divergence type parabolic and elliptic systems with partially BMO coefficients. (English) Zbl 1216.35160 Calc. Var. Partial Differ. Equ. 40, No. 3-4, 357-389 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35R05 35D30 35K51 35J47 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Calc. Var. Partial Differ. Equ. 40, No. 3--4, 357--389 (2011; Zbl 1216.35160) Full Text: DOI
Dong, Hongjie; Krylov, N. V. Second-order elliptic and parabolic equations with \(B(\mathbb R^2, \mathrm{VMO})\) coefficients. (English) Zbl 1207.35174 Trans. Am. Math. Soc. 362, No. 12, 6477-6494 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 35K10 35K20 35J15 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{N. V. Krylov}, Trans. Am. Math. Soc. 362, No. 12, 6477--6494 (2010; Zbl 1207.35174) Full Text: DOI arXiv