Andreucci, Daniele; Tedeev, Anatoli F. Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds. (English) Zbl 1486.35275 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112818, 15 p. (2022). MSC: 35K65 35K15 35K59 35B40 35R01 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112818, 15 p. (2022; Zbl 1486.35275) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds. (English) Zbl 1481.35043 Milan J. Math. 89, No. 2, 295-327 (2021). MSC: 35B40 35B44 35K15 35K59 35K65 35R01 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Milan J. Math. 89, No. 2, 295--327 (2021; Zbl 1481.35043) Full Text: DOI arXiv
Grillo, Gabriele; Meglioli, Giulia; Punzo, Fabio Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds. (English) Zbl 1470.35193 J. Evol. Equ. 21, No. 2, 2339-2375 (2021). MSC: 35K57 35B44 58J35 35K65 35R01 PDFBibTeX XMLCite \textit{G. Grillo} et al., J. Evol. Equ. 21, No. 2, 2339--2375 (2021; Zbl 1470.35193) Full Text: DOI arXiv
Grillo, Gabriele; Meglioli, Giulia; Punzo, Fabio Smoothing effects and infinite time blowup for reaction-diffusion equations: an approach via Sobolev and Poincaré inequalities. (English. French summary) Zbl 1467.35204 J. Math. Pures Appl. (9) 151, 99-131 (2021). MSC: 35K57 35K15 35K65 35B44 58J35 35R01 PDFBibTeX XMLCite \textit{G. Grillo} et al., J. Math. Pures Appl. (9) 151, 99--131 (2021; Zbl 1467.35204) Full Text: DOI arXiv
Poh, Ai Ling Amy; Shimojo, Masahiko Blow-up of radially symmetric solutions for a semilinear heat equation on hyperbolic space. (English) Zbl 1425.35072 Rev. Mat. Complut. 32, No. 3, 655-680 (2019). Reviewer: Andrei Perjan (Chişinău) MSC: 35K05 35K15 35K55 35K61 PDFBibTeX XMLCite \textit{A. L. A. Poh} and \textit{M. Shimojo}, Rev. Mat. Complut. 32, No. 3, 655--680 (2019; Zbl 1425.35072) Full Text: DOI
Muratori, Matteo; Punzo, Fabio Porous medium equations on manifolds with critical negative curvature: unbounded initial data. (English) Zbl 1418.35348 Appl. Anal. 98, No. 10, 1756-1772 (2019). MSC: 35R01 35K65 35A01 35A02 35B44 PDFBibTeX XMLCite \textit{M. Muratori} and \textit{F. Punzo}, Appl. Anal. 98, No. 10, 1756--1772 (2019; Zbl 1418.35348) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds. (English) Zbl 1405.35234 J. Differ. Equations 266, No. 7, 4305-4336 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35R01 35K65 58J35 35A01 35A02 35B44 PDFBibTeX XMLCite \textit{G. Grillo} et al., J. Differ. Equations 266, No. 7, 4305--4336 (2019; Zbl 1405.35234) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio The porous medium equation with large initial data on negatively curved Riemannian manifolds. (English. French summary) Zbl 1388.35199 J. Math. Pures Appl. (9) 113, 195-226 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35R01 35K65 58J35 35A01 35A02 35B44 35Q35 76S05 PDFBibTeX XMLCite \textit{G. Grillo} et al., J. Math. Pures Appl. (9) 113, 195--226 (2018; Zbl 1388.35199) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds. (English) Zbl 1330.58025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 346-362 (2016). MSC: 58J60 PDFBibTeX XMLCite \textit{G. Grillo} and \textit{M. Muratori}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 346--362 (2016; Zbl 1330.58025) Full Text: DOI arXiv
Vázquez, Juan Luis Fundamental solution and long time behavior of the porous medium equation in hyperbolic space. (English. French summary) Zbl 1327.35213 J. Math. Pures Appl. (9) 104, No. 3, 454-484 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35K65 58J35 35K55 35B40 PDFBibTeX XMLCite \textit{J. L. Vázquez}, J. Math. Pures Appl. (9) 104, No. 3, 454--484 (2015; Zbl 1327.35213) Full Text: DOI arXiv
Punzo, Fabio On well-posedness of the semilinear heat equation on the sphere. (English) Zbl 1277.35214 J. Evol. Equ. 12, No. 3, 571-592 (2012). Reviewer: Weiyong He (Eugene) MSC: 35K58 35K67 35B40 35B41 35K20 35A02 47D06 PDFBibTeX XMLCite \textit{F. Punzo}, J. Evol. Equ. 12, No. 3, 571--592 (2012; Zbl 1277.35214) Full Text: DOI
Punzo, Fabio Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space. (English) Zbl 1259.35004 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 485-501 (2012). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35A02 35K59 35K65 35K67 35A01 35B51 PDFBibTeX XMLCite \textit{F. Punzo}, NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 485--501 (2012; Zbl 1259.35004) Full Text: DOI