caa a22 4500 606210105 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00032-015-0240-3 doi (NATIONALLICENCE)springer-10.1007/s00032-015-0240-3 Interior Harnack Estimates: The State-of-the-Art for Quasilinear Singular Parabolic Equations [Elektronische Daten] [Fatma Düzgüun, Simona Fornaro, Vincenzo Vespri] In this paper we give some historical information about elliptic and parabolic Harnack inequalities. Then we state the main results known for Harnack inequalities of solutions to quasilinear degenerate parabolic equations. Lastly we focus our attention on Harnack inequalities of solutions to quasilinear singular parabolic equations where the theory did important steps forward in the last few years but still there are some points to be fully understood. Springer Basel, 2015 Degenerate and Singular Parabolic Equations nationallicence Pointwise Estimates nationallicence Harnack estimates nationallicence Weak solutions nationallicence Düzgüun Fatma Dipartimento di Ingegneria dell'Informazione, Università degli studi di Firenze, Via di Santa Marta, 3, I-50139, Firenze, Italy aut Fornaro Simona Dipartimento di Matematica"Felice Casorat”, Università degli studi di Pavia, via Ferrata, 1, I-27100, Pavia, Italy aut Vespri Vincenzo Dipartimento di Matematica ed Informatica "Ulisse Dini”, Università degli studi di Firenze, Viale Morgagni, 67/a, I-50134, Firenze, Italy aut Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 371-395 1424-9286 83:2<371 2015 83 32 https://doi.org/10.1007/s00032-015-0240-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0240-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Düzgüun Fatma Dipartimento di Ingegneria dell'Informazione, Università degli studi di Firenze, Via di Santa Marta, 3, I-50139, Firenze, Italy aut NATIONALLICENCE 700 1- Fornaro Simona Dipartimento di Matematica"Felice Casorat”, Università degli studi di Pavia, via Ferrata, 1, I-27100, Pavia, Italy aut NATIONALLICENCE 700 1- Vespri Vincenzo Dipartimento di Matematica ed Informatica "Ulisse Dini”, Università degli studi di Firenze, Viale Morgagni, 67/a, I-50134, Firenze, Italy aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 371-395 1424-9286 83:2<371 2015 83 32