On weak solutions for a class of nonlinear parabolic equations related to image analysis
type: Item
instance of: scholarly article
title: On weak solutions for a class of nonlinear parabolic equations related to image analysis
zbMATH Open document ID: 1178.35198
author: Zhaoyong Feng
author: Zhaoyang Yin
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-24T00:00:00Z
review text: The authors consider a special class of nonlinear evolution equations connected to Malik-Perona model in image analysis. More precisely they extend an existence and uniqueness result due to Wang and Zhou to a larger class of equations. To prove such a result they use functional analysis tools such as the biting lemma and its generalization in this specific context.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 5586787
zbMATH Keywords: Malik-Perona model
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: j.na.2009.01.087
OpenAlex ID: W1979237653
cites work: Q5487111
cites work: Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras
cites work: Q3430673
cites work: Semi‐Implicit Covolume Method in 3D Image Segmentation
cites work: Remarks on Chacon's Biting Lemma
cites work: Q5890172
cites work: Q3995411
DOI: 10.1016/J.NA.2009.01.087
description: scientific article; zbMATH DE number 5586787