Audrito, Alessandro; Gárriz, Alejandro; Quirós, Fernando Convergence in relative error for the porous medium equation in a tube. (English) Zbl 07785697 Ann. Mat. Pura Appl. (4) 203, No. 1, 149-171 (2024). MSC: 35B40 35C07 35K20 35K59 35K65 PDFBibTeX XMLCite \textit{A. Audrito} et al., Ann. Mat. Pura Appl. (4) 203, No. 1, 149--171 (2024; Zbl 07785697) Full Text: DOI arXiv
Gianazza, Ugo; Siljander, Juhana Local bounds of the gradient of weak solutions to the porous medium equation. (English) Zbl 1518.35452 SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 8, 35 p. (2023). MSC: 35K65 35B45 35B65 PDFBibTeX XMLCite \textit{U. Gianazza} and \textit{J. Siljander}, SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 8, 35 p. (2023; Zbl 1518.35452) Full Text: DOI
Chang-Lara, Héctor A.; Santos, Makson S. Hölder regularity for non-variational porous media type equations. (English) Zbl 1512.35125 J. Differ. Equations 360, 347-372 (2023). MSC: 35B45 35B65 35D40 35K58 35K65 76S05 PDFBibTeX XMLCite \textit{H. A. Chang-Lara} and \textit{M. S. Santos}, J. Differ. Equations 360, 347--372 (2023; Zbl 1512.35125) Full Text: DOI arXiv
Bonforte, Matteo; Simonov, Nikita Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights. (English) Zbl 1512.35389 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 1, 1-59 (2023). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K65 35B40 35B45 35K59 35K67 PDFBibTeX XMLCite \textit{M. Bonforte} and \textit{N. Simonov}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 1, 1--59 (2023; Zbl 1512.35389) Full Text: DOI arXiv
Jin, Tianling; Xiong, Jingang Optimal boundary regularity for fast diffusion equations in bounded domains. (English) Zbl 1509.35086 Am. J. Math. 145, No. 1, 151-219 (2023). MSC: 35B65 35K20 35K59 PDFBibTeX XMLCite \textit{T. Jin} and \textit{J. Xiong}, Am. J. Math. 145, No. 1, 151--219 (2023; Zbl 1509.35086) Full Text: DOI arXiv
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland Multi-dimensional degenerate operators in \(L^p\)-spaces. (English) Zbl 1490.35120 Commun. Pure Appl. Anal. 21, No. 6, 2115-2145 (2022). MSC: 35J15 35J70 35J25 35B65 PDFBibTeX XMLCite \textit{S. Fornaro} et al., Commun. Pure Appl. Anal. 21, No. 6, 2115--2145 (2022; Zbl 1490.35120) Full Text: DOI
Zhang, Yuming Paul Free boundary regularity of the porous medium equation with nonlocal drifts in dimension one. (English) Zbl 1489.35311 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 41, 35 p. (2022). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35R35 35B65 35K15 35K65 35K59 45K05 PDFBibTeX XMLCite \textit{Y. P. Zhang}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 41, 35 p. (2022; Zbl 1489.35311) Full Text: DOI arXiv
Pimentel, Edgard A.; Santos, Makson S. Improved regularity for the porous medium equation along zero level sets. (English) Zbl 1494.35056 Isr. J. Math. 245, No. 1, 135-151 (2021). Reviewer: Vladimir N. Grebenev (Darmstadt) MSC: 35B65 35K59 35K65 PDFBibTeX XMLCite \textit{E. A. Pimentel} and \textit{M. S. Santos}, Isr. J. Math. 245, No. 1, 135--151 (2021; Zbl 1494.35056) Full Text: DOI arXiv
Kim, Inwon; Zhang, Yuming Paul Porous medium equation with a drift: free boundary regularity. (English) Zbl 1481.35101 Arch. Ration. Mech. Anal. 242, No. 2, 1177-1228 (2021). Reviewer: Adrian Muntean (Karlstad) MSC: 35B65 35R35 35K65 PDFBibTeX XMLCite \textit{I. Kim} and \textit{Y. P. Zhang}, Arch. Ration. Mech. Anal. 242, No. 2, 1177--1228 (2021; Zbl 1481.35101) Full Text: DOI arXiv
Araújo, Damião J. Higher regularity estimates for the porous medium equation near the heat equation. (English) Zbl 1468.35024 Rev. Mat. Iberoam. 37, No. 5, 1747-1760 (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B65 35K65 76S05 35K59 PDFBibTeX XMLCite \textit{D. J. Araújo}, Rev. Mat. Iberoam. 37, No. 5, 1747--1760 (2021; Zbl 1468.35024) Full Text: DOI arXiv
Gess, Benjamin Optimal regularity for the porous medium equation. (English) Zbl 1461.35133 J. Eur. Math. Soc. (JEMS) 23, No. 2, 425-465 (2021). MSC: 35K59 35B65 35D30 PDFBibTeX XMLCite \textit{B. Gess}, J. Eur. Math. Soc. (JEMS) 23, No. 2, 425--465 (2021; Zbl 1461.35133) Full Text: DOI arXiv
Segatti, Antonio; Vázquez, Juan Luis On a fractional thin film equation. (English) Zbl 1437.35429 Adv. Nonlinear Anal. 9, 1516-1558 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35K55 35R11 35C06 35D30 35Q35 PDFBibTeX XMLCite \textit{A. Segatti} and \textit{J. L. Vázquez}, Adv. Nonlinear Anal. 9, 1516--1558 (2020; Zbl 1437.35429) Full Text: DOI arXiv
Kim, Inwon; Požár, Norbert; Woodhouse, Brent Singular limit of the porous medium equation with a drift. (English) Zbl 1447.35333 Adv. Math. 349, 682-732 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q92 35Q35 76S05 76D27 92C50 92C37 35D40 35R35 PDFBibTeX XMLCite \textit{I. Kim} et al., Adv. Math. 349, 682--732 (2019; Zbl 1447.35333) Full Text: DOI arXiv
Vázquez, Juan Luis The mathematical theories of diffusion: nonlinear and fractional diffusion. (English) Zbl 1492.35151 Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2186, 205-278 (2017). MSC: 35K57 35R11 PDFBibTeX XMLCite \textit{J. L. Vázquez}, Lect. Notes Math. 2186, 205--278 (2017; Zbl 1492.35151) Full Text: DOI arXiv