Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays

DOI10.1016/j.na.2015.11.012zbMath1334.35098arXiv1501.03646OpenAlexW1848033757MaRDI QIDQ272729

Jean Dolbeault, Giuseppe Toscani

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03646

zbMATH Keywords

nonlinear diffusion equationsbest matching Barenblatt profilesGagliardo-Nirenberg-Sobolev inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate parabolic equations (35K65) Functional inequalities, including subadditivity, convexity, etc. (39B62)

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