TY - CHAP
T1 - Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes
AU - Teixeira, Eduardo V.
AU - Urbano, José Miguel
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2021/1/1
Y1 - 2021/1/1
N2 - We provide a broad overview on qualitative versus quantitative regularity estimates in the theory of degenerate parabolic pdes. The former relates to DiBenedetto’s revolutionary method of intrinsic scaling, while the latter is achieved by means of what has been termed geometric tangential analysis. We discuss, in particular, sharp estimates for the parabolic p −Poisson equation, for the porous medium equation and for the doubly nonlinear equation.
AB - We provide a broad overview on qualitative versus quantitative regularity estimates in the theory of degenerate parabolic pdes. The former relates to DiBenedetto’s revolutionary method of intrinsic scaling, while the latter is achieved by means of what has been termed geometric tangential analysis. We discuss, in particular, sharp estimates for the parabolic p −Poisson equation, for the porous medium equation and for the doubly nonlinear equation.
UR - https://link.springer.com/10.1007/978-3-030-73778-8_9
UR - http://www.scopus.com/inward/record.url?scp=85107201156&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-73778-8_9
DO - 10.1007/978-3-030-73778-8_9
M3 - Chapter
SP - 175
EP - 192
BT - Springer INdAM Series
PB - Springer-Verlag Italia s.r.l.
ER -