Qualitative properties for Perona-Malik type equations

zbMath1298.35107MaRDI QIDQ663527

Cristina Pocci

Publication date: 17 February 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1326291211

zbMATH Keywords

forward-backward parabolic equationsnonexistence resultPerona-Malik-type equations, a priori estimates

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Cites Work

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• Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type
• Gradient estimates for the Perona-Malik equation
• Two-phase entropy solutions of a forward-backward parabolic equation
• A generalized diffusion model for growth and dispersal in a population
• Maximum and comparison principle for one-dimensional anisotropic diffusion
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• From Mumford–Shah to Perona–Malik in image processing
• Stability Properties of the Perona--Malik Scheme
• A class of local classical solutions for the one-dimensional Perona-Malik equation
• Stable Patterns in a Viscous Diffusion Equation
• The Perona--Malik Paradox
• Aggregation under local reinforcement: From lattice to continuum
• Entire Solutions of the One-Dimensional Perona-Malik Equation

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