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Iagar, Razvan Gabriel; Sánchez, Ariel Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions. (English) Zbl 1382.35139 J. Math. Anal. Appl. 439, No. 2, 843-863 (2016). MSC: 35K59 35Q35 76S05 35B07 35B40 35C06 35K15 35K57 35K65 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{A. Sánchez}, J. Math. Anal. Appl. 439, No. 2, 843--863 (2016; Zbl 1382.35139) Full Text: DOI arXiv
Iagar, Razvan Gabriel; Sánchez, Ariel Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density. (English) Zbl 1284.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 226-241 (2014). MSC: 35B33 35B40 35K10 35K67 35Q79 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{A. Sánchez}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 226--241 (2014; Zbl 1284.35059) Full Text: DOI arXiv
Fang, Zhong Bo; Kwak, Minkyu A very singular solution for the slow diffusion equation with nonlinear convection. (English) Zbl 1136.34005 J. Math. Anal. Appl. 337, No. 2, 1211-1225 (2008). MSC: 34A34 34A12 35K55 PDFBibTeX XMLCite \textit{Z. B. Fang} and \textit{M. Kwak}, J. Math. Anal. Appl. 337, No. 2, 1211--1225 (2008; Zbl 1136.34005) Full Text: DOI
de Pablo, Arturo; Sánchez, Ariel Self-similar solutions satisfying or not the equation of the interface. (English) Zbl 1106.35313 J. Math. Anal. Appl. 276, No. 2, 791-814 (2002). MSC: 35K57 34C11 35C05 PDFBibTeX XMLCite \textit{A. de Pablo} and \textit{A. Sánchez}, J. Math. Anal. Appl. 276, No. 2, 791--814 (2002; Zbl 1106.35313) Full Text: DOI
Laurençot, Ph.; Simondon, F. Source-type solutions to porous medium equations with convection. II. (English) Zbl 0948.35072 Rocky Mt. J. Math. 29, No. 2, 653-669 (1999). Reviewer: Emil Minchev (Sofia) MSC: 35K65 35A05 PDFBibTeX XMLCite \textit{Ph. Laurençot} and \textit{F. Simondon}, Rocky Mt. J. Math. 29, No. 2, 653--669 (1999; Zbl 0948.35072) Full Text: DOI Link