naa a22 4500 510781381 CHVBK 20180411083248.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11854-013-0034-x doi (NATIONALLICENCE)springer-10.1007/s11854-013-0034-x Pointwise estimates for the fundamental solutions of a class of singular parabolic problems [Elektronische Daten] [F. Ragnedda, S. Vernier Piro, V. Vespri] We deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations with L ∞ coefficients whose prototypes are the p-Laplacian (2N/(N + 1) < p < 2) and the porous medium equation (((N − 2)/N)+ < m < 1). We prove existence of and sharp pointwise estimates from above and from below for the fundamental solutions. Our results can be extended to general non-negative L 1 initial data. Hebrew University Magnes Press, 2013 Ragnedda F. Dipartimento di Matematica e Informatica, Viale Merello 92, 09123, Cagliari, Italy aut Vernier Piro S. Dipartimento di Matematica e Informatica, Viale Merello 92, 09123, Cagliari, Italy aut Vespri V. Dipartimento di Matematica "U. Dini”, Viale Morgagni 67/A, 50134, Firenze, Italy aut Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 121/1(2013-10-01), 235-253 0021-7670 121:1<235 2013 121 11854 https://doi.org/10.1007/s11854-013-0034-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0034-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ragnedda F. Dipartimento di Matematica e Informatica, Viale Merello 92, 09123, Cagliari, Italy aut NATIONALLICENCE 700 1- Vernier Piro S. Dipartimento di Matematica e Informatica, Viale Merello 92, 09123, Cagliari, Italy aut NATIONALLICENCE 700 1- Vespri V. Dipartimento di Matematica "U. Dini”, Viale Morgagni 67/A, 50134, Firenze, Italy aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 121/1(2013-10-01), 235-253 0021-7670 121:1<235 2013 121 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer