Title
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption.
Abstract
Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption partial derivative(t)u - Delta(p)u + vertical bar del u vertical bar(q) = 0, in (0, infinity) x R-N, where 2N/(N + 1) < p < 2 and p/2 < q < p - N/(N + 1), thereby extending previous results restricted to q > 1.
Year
DOI
Venue
2013
10.1112/jlms/jds051
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Keywords
Field
DocType
mathematical analysis,diffusion equation,singular solution
Uniqueness,Nabla symbol,Mathematical analysis,Diffusion equation,Mathematics,Absorption (pharmacology),p-Laplacian
Journal
Volume
Issue
ISSN
87
2
0024-6107
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Razvan Gabriel Iagar100.34
Philippe Laurençot23010.30