Chan, Hardy; Gómez-Castro, David; Vázquez, Juan Luis Singular solutions for fractional parabolic boundary value problems. (English) Zbl 1498.35567 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 159, 38 p. (2022). MSC: 35R11 35C15 35D30 35K08 35K20 35K67 35S16 PDFBibTeX XMLCite \textit{H. Chan} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 159, 38 p. (2022; Zbl 1498.35567) Full Text: DOI arXiv
Parviainen, Mikko; Vázquez, Juan Luis Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications. (English) Zbl 1476.35130 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 303-359 (2020). Reviewer: Peter Lindqvist (Trondheim) MSC: 35K92 35K55 35B40 35D40 35K59 35K20 35B07 PDFBibTeX XMLCite \textit{M. Parviainen} and \textit{J. L. Vázquez}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 303--359 (2020; Zbl 1476.35130) Full Text: DOI arXiv
Stan, Diana; Vázquez, Juan Luis Asymptotic behaviour of the doubly nonlinear diffusion equation \(u_t=\Delta_pu^m\) on bounded domains. (English) Zbl 1258.35130 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 77, 1-32 (2013). MSC: 35K65 35B40 35B45 35K55 35K92 35C06 35K20 PDFBibTeX XMLCite \textit{D. Stan} and \textit{J. L. Vázquez}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 77, 1--32 (2013; Zbl 1258.35130) Full Text: DOI arXiv
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis Behaviour near extinction for the fast diffusion equation on bounded domains. (English) Zbl 1241.35013 J. Math. Pures Appl. (9) 97, No. 1, 1-38 (2012). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B33 35B40 46E35 35K20 35K65 PDFBibTeX XMLCite \textit{M. Bonforte} et al., J. Math. Pures Appl. (9) 97, No. 1, 1--38 (2012; Zbl 1241.35013) Full Text: DOI arXiv
Vázquez, Juan Luis; Winkler, Michael Highly time-oscillating solutions for very fast diffusion equations. (English) Zbl 1252.35168 J. Evol. Equ. 11, No. 3, 725-742 (2011). MSC: 35K65 35K59 35K20 35B40 PDFBibTeX XMLCite \textit{J. L. Vázquez} and \textit{M. Winkler}, J. Evol. Equ. 11, No. 3, 725--742 (2011; Zbl 1252.35168) Full Text: DOI
Vázquez, Juan Luis; Vitillaro, Enzo Heat equation with dynamical boundary conditions of reactive-diffusive type. (English) Zbl 1213.35243 J. Differ. Equations 250, No. 4, 2143-2161 (2011). Reviewer: Cheng He (Beijing) MSC: 35K20 35K05 PDFBibTeX XMLCite \textit{J. L. Vázquez} and \textit{E. Vitillaro}, J. Differ. Equations 250, No. 4, 2143--2161 (2011; Zbl 1213.35243) Full Text: DOI arXiv
Droniou, Jérôme; Vázquez, Juan-Luis Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. (English) Zbl 1167.35342 Calc. Var. Partial Differ. Equ. 34, No. 4, 413-434 (2009). MSC: 35J25 35D05 35B30 35K20 47B44 35B65 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{J.-L. Vázquez}, Calc. Var. Partial Differ. Equ. 34, No. 4, 413--434 (2009; Zbl 1167.35342) Full Text: DOI
Iagar, Razvan Gabriel; Vázquez, Juan Luis Asymptotic analysis of the \(p\)-Laplacian flow in an exterior domain. (English) Zbl 1178.35070 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 497-520 (2009). Reviewer: Peter Lindqvist (Trondheim) MSC: 35B40 35K65 35R35 35K20 35K55 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{J. L. Vázquez}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 497--520 (2009; Zbl 1178.35070) Full Text: DOI EuDML
Vázquez, Juan Luis; Vitillaro, Enzo Heat equation with dynamical boundary conditions of reactive type. (English) Zbl 1168.35375 Commun. Partial Differ. Equations 33, No. 4, 561-612 (2008). MSC: 35K20 35P10 35R25 PDFBibTeX XMLCite \textit{J. L. Vázquez} and \textit{E. Vitillaro}, Commun. Partial Differ. Equations 33, No. 4, 561--612 (2008; Zbl 1168.35375) Full Text: DOI
Vázquez, Juan Luis Porous medium flow in a tube. Traveling waves and KPP behavior. (English) Zbl 1157.35061 Commun. Contemp. Math. 9, No. 5, 731-751 (2007). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K65 35K55 35K20 35B40 PDFBibTeX XMLCite \textit{J. L. Vázquez}, Commun. Contemp. Math. 9, No. 5, 731--751 (2007; Zbl 1157.35061) Full Text: DOI
Bonforte, Matteo; Vazquez, Juan Luis Reverse smoothing effects, fine asymptotics, and Harnack inequalities for fast diffusion equations. (English) Zbl 1166.35008 Bound. Value Probl. 2007, Article ID 21425, 31 p. (2007). Reviewer: Elvira Mascolo (Firenze) MSC: 35B65 35K65 35K20 35B05 PDFBibTeX XMLCite \textit{M. Bonforte} and \textit{J. L. Vazquez}, Bound. Value Probl. 2007, Article ID 21425, 31 p. (2007; Zbl 1166.35008) Full Text: DOI arXiv EuDML
Vazquez, Juan Luis; Vitillaro, Enzo Heat equation with dynamical boundary conditions of locally reactive type. (English) Zbl 1112.35083 Semigroup Forum 74, No. 1, 1-40 (2007). MSC: 35K20 35P10 35K05 35A05 PDFBibTeX XMLCite \textit{J. L. Vazquez} and \textit{E. Vitillaro}, Semigroup Forum 74, No. 1, 1--40 (2007; Zbl 1112.35083) Full Text: DOI
Quirós, Fernando; Rossi, Julio D.; Vázquez, Juan Luis Thermal avalanche for blowup solutions of semilinear heat equations. (English) Zbl 1036.35084 Commun. Pure Appl. Math. 57, No. 1, 59-98 (2004). MSC: 35K55 35K15 35K20 35B05 PDFBibTeX XMLCite \textit{F. Quirós} et al., Commun. Pure Appl. Math. 57, No. 1, 59--98 (2004; Zbl 1036.35084) Full Text: DOI
Lederman, C.; Wolanski, Noemi; Vazquez, J. L. A mixed semilinear parabolic problem in a noncylindrical space-time domain. (English) Zbl 1011.35067 Differ. Integral Equ. 14, No. 4, 385-404 (2001). Reviewer: Lubomira Softova (Bari) MSC: 35K20 35K55 PDFBibTeX XMLCite \textit{C. Lederman} et al., Differ. Integral Equ. 14, No. 4, 385--404 (2001; Zbl 1011.35067)
Lederman, Claudia; Vazquez, Juan Luis; Wolanski, Noemi A mixed semilinear parabolic problem from combustion theory. (English) Zbl 0964.35080 Electron. J. Differ. Equ. 2001, Conf. 06, 203-214 (2001). Reviewer: Dian K.Palagachev (Bari) MSC: 35K60 35K20 80A25 PDFBibTeX XMLCite \textit{C. Lederman} et al., Electron. J. Differ. Equ. 2001, 203--214 (2001; Zbl 0964.35080) Full Text: EuDML EMIS