On weak solutions for a class of nonlinear parabolic equations related to image analysis

DOI10.1016/j.na.2009.01.087zbMath1178.35198OpenAlexW1979237653MaRDI QIDQ923905

Zhaoyong Feng, Zhaoyang Yin

Publication date: 24 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.087

zbMATH Keywords

existenceuniquenessMalik-Perona model

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30)

Related Items (3)

Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations ⋮ Weak solutions for a class of generalized nonlinear parabolic equations related to image analysis ⋮ Existence and uniqueness of weak solutions for novel anisotropic nonlinear diffusion equations related to image analysis

Cites Work

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• Remarks on Chacon's Biting Lemma
• Semi‐Implicit Covolume Method in 3D Image Segmentation
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

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