Roidos, Nikolaos; Shao, Yuanzhen Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation. (English) Zbl 1490.35208 Evol. Equ. Control Theory 11, No. 3, 793-825 (2022). MSC: 35K65 26A33 35K59 35K67 35R01 35R11 39B62 76S05 PDF BibTeX XML Cite \textit{N. Roidos} and \textit{Y. Shao}, Evol. Equ. Control Theory 11, No. 3, 793--825 (2022; Zbl 1490.35208) Full Text: DOI arXiv OpenURL
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density. (English) Zbl 1336.35057 Discrete Contin. Dyn. Syst. 35, No. 12, 5927-5962 (2015). MSC: 35B40 35K55 35C06 35K65 35K15 35R11 PDF BibTeX XML Cite \textit{G. Grillo} et al., Discrete Contin. Dyn. Syst. 35, No. 12, 5927--5962 (2015; Zbl 1336.35057) Full Text: DOI arXiv OpenURL
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio Fractional porous media equations: existence and uniqueness of weak solutions with measure data. (English) Zbl 1333.35322 Calc. Var. Partial Differ. Equ. 54, No. 3, 3303-3335 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R11 35K15 35K55 35K65 35A01 35A02 35R06 PDF BibTeX XML Cite \textit{G. Grillo} et al., Calc. Var. Partial Differ. Equ. 54, No. 3, 3303--3335 (2015; Zbl 1333.35322) Full Text: DOI arXiv OpenURL
Zhang, Lei; Li, Shan Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation. (English) Zbl 1310.26008 Bound. Value Probl. 2015, Paper No. 28, 6 p. (2015). MSC: 26A33 35K57 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{S. Li}, Bound. Value Probl. 2015, Paper No. 28, 6 p. (2015; Zbl 1310.26008) Full Text: DOI OpenURL
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis Classical solutions for a logarithmic fractional diffusion equation. (English) Zbl 1322.35167 J. Math. Pures Appl. (9) 101, No. 6, 901-924 (2014). Reviewer: Chuanzhi Bai (Huaian) MSC: 35R11 35K55 35S10 76S05 PDF BibTeX XML Cite \textit{A. de Pablo} et al., J. Math. Pures Appl. (9) 101, No. 6, 901--924 (2014; Zbl 1322.35167) Full Text: DOI arXiv OpenURL
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis A general fractional porous medium equation. (English) Zbl 1248.35220 Commun. Pure Appl. Math. 65, No. 9, 1242-1284 (2012). MSC: 35R11 35Q35 35D35 35A02 35B30 PDF BibTeX XML Cite \textit{A. De Pablo} et al., Commun. Pure Appl. Math. 65, No. 9, 1242--1284 (2012; Zbl 1248.35220) Full Text: DOI arXiv Link OpenURL
Merz, W.; Rybka, P. Strong solutions to the Richards equation in the unsaturated zone. (English) Zbl 1200.35177 J. Math. Anal. Appl. 371, No. 2, 741-749 (2010). MSC: 35K65 76S05 35B45 PDF BibTeX XML Cite \textit{W. Merz} and \textit{P. Rybka}, J. Math. Anal. Appl. 371, No. 2, 741--749 (2010; Zbl 1200.35177) Full Text: DOI OpenURL
Maliki, Mohamed; Ouedraogo, Adama Renormalized solution for nonlinear degenerate problems in the whole space. (English) Zbl 1173.35565 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 597-611 (2008). MSC: 35K65 35K15 35D05 35R05 PDF BibTeX XML Cite \textit{M. Maliki} and \textit{A. Ouedraogo}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 3, 597--611 (2008; Zbl 1173.35565) Full Text: DOI Numdam EuDML Link OpenURL
Wang, Chunpeng; Wang, Zejia; Liu, Qiang Existence of weak solutions for a class of nonlinear diffusion problems. (English) Zbl 1144.35411 Math. Comput. Modelling 47, No. 9-10, 874-886 (2008). MSC: 35K57 35D05 35K20 PDF BibTeX XML Cite \textit{C. Wang} et al., Math. Comput. Modelling 47, No. 9--10, 874--886 (2008; Zbl 1144.35411) Full Text: DOI OpenURL
Maliki, Mohamed Continuous dependence of the entropy solution of general parabolic equation. (English) Zbl 1122.35012 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 3, 589-598 (2006). MSC: 35B30 35K65 35K15 PDF BibTeX XML Cite \textit{M. Maliki}, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 3, 589--598 (2006; Zbl 1122.35012) Full Text: DOI Numdam Numdam EuDML OpenURL
Rosier, Lionel Control of the surface of a fluid by a wavemaker. (English) Zbl 1094.93014 ESAIM, Control Optim. Calc. Var. 10, 346-380 (2004). Reviewer: Vadim Komkov (Florida) MSC: 93C20 35B37 35Q53 93B05 49J20 76B15 76B75 PDF BibTeX XML Cite \textit{L. Rosier}, ESAIM, Control Optim. Calc. Var. 10, 346--380 (2004; Zbl 1094.93014) Full Text: DOI Numdam EuDML OpenURL
Rodriguez, Ana; Vazquez, Juan L. Obstructions to existence in fast-diffusion equations. (English) Zbl 1007.35042 J. Differ. Equations 184, No. 2, 348-385 (2002). Reviewer: Nikolai V.Krasnoschok (Donetsk) MSC: 35K65 35B05 35K15 PDF BibTeX XML Cite \textit{A. Rodriguez} and \textit{J. L. Vazquez}, J. Differ. Equations 184, No. 2, 348--385 (2002; Zbl 1007.35042) Full Text: DOI OpenURL
Rouvre, Emilie; Gagneux, Gérard Strong entropy formulation of degenerated hyperbolic-parabolic scalar laws. (Formulation forte entropique de lois scalaires hyperboliques-paraboliques dégénérées.) (French) Zbl 1027.35062 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 10, No. 1, 163-183 (2001). MSC: 35K65 35A05 35B30 35L65 35K60 35L67 PDF BibTeX XML Cite \textit{E. Rouvre} and \textit{G. Gagneux}, Ann. Fac. Sci. Toulouse, Math. (6) 10, No. 1, 163--183 (2001; Zbl 1027.35062) Full Text: DOI Numdam EuDML OpenURL
Díaz, J. Ildefonso; Galiano, Gonzalo; Jüngel, Ansgar On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions. (English) Zbl 0994.35072 Nonlinear Anal., Real World Appl. 2, No. 3, 305-336 (2001). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 35K65 82D37 35K55 PDF BibTeX XML Cite \textit{J. I. Díaz} et al., Nonlinear Anal., Real World Appl. 2, No. 3, 305--336 (2001; Zbl 0994.35072) Full Text: DOI OpenURL
Rosier, Carole; Rosier, Lionel Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics. (English) Zbl 1162.76339 Appl. Anal. 75, No. 3-4, 441-465 (2000). MSC: 76D99 35A07 35K57 35K65 76M35 PDF BibTeX XML Cite \textit{C. Rosier} and \textit{L. Rosier}, Appl. Anal. 75, No. 3--4, 441--465 (2000; Zbl 1162.76339) Full Text: DOI OpenURL
Bacciotti, A.; Rosier, L. Regularity of Liapunov functions for stable systems. (English) Zbl 0980.93071 Syst. Control Lett. 41, No. 4, 265-270 (2000). MSC: 93D30 PDF BibTeX XML Cite \textit{A. Bacciotti} and \textit{L. Rosier}, Syst. Control Lett. 41, No. 4, 265--270 (2000; Zbl 0980.93071) Full Text: DOI OpenURL
Feireisl, Eduard Front propagation for degenerate parabolic equations. (English) Zbl 0919.35067 Nonlinear Anal., Theory Methods Appl. 35, No. 6, A, 735-746 (1999). Reviewer: P.Quittner (Bratislava) MSC: 35K65 PDF BibTeX XML Cite \textit{E. Feireisl}, Nonlinear Anal., Theory Methods Appl. 35, No. 6, 735--746 (1999; Zbl 0919.35067) Full Text: DOI OpenURL
Vallet, Guy Strong solutions for nonlinear parabolic integro-differential equations. (Solution forte pour des équations intégro-différentielles non linéaires paraboliques.) (French) Zbl 0895.45006 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 6, No. 2, 335-356 (1997). Reviewer: Y.Cherruault (Paris) MSC: 45K05 92D25 76R05 PDF BibTeX XML Cite \textit{G. Vallet}, Ann. Fac. Sci. Toulouse, Math. (6) 6, No. 2, 335--356 (1997; Zbl 0895.45006) Full Text: DOI Numdam EuDML OpenURL