Quantitative local and global a priori estimates for fractional nonlinear diffusion equations

We establish quantitative estimates for solutions u(t,x) to the fractional nonlinear diffusion equation, ∂tu+(−Δ)s(um)=0 in the whole range of exponents m>0, 0

Saved in:
Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2014-01, Vol.250, p.242-284
Main Authors: Bonforte, Matteo, Vázquez, Juan Luis
Format: Article
Language:English
Subjects:
Existence for large data
Fractional Laplacian
Initial trace
Nonlinear diffusion equation
Positivity estimates
Weighted global estimates
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We establish quantitative estimates for solutions u(t,x) to the fractional nonlinear diffusion equation, ∂tu+(−Δ)s(um)=0 in the whole range of exponents m>0, 0
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2013.09.018