Regularizations of forward-backward parabolic PDEs

Nonlinear parabolic equations (35K55) Equations involving nonlinear operators (general) (47J05) Ill-posed problems for PDEs (35R25) Problems involving hysteresis in solids (74N30)

Cites Work

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Long-time behaviour of two-phase solutions to a class of forward-backward parabolic equations
A semidiscrete scheme for a one-dimensional Cahn-Hilliard equation
Quasilinear parabolic P.D.E.s with discontinuous hysteresis
A concept of solution and numerical experiments for forward-backward diffusion equations
Gradient estimates for the Perona-Malik equation
Two-phase entropy solutions of forward-backward parabolic problems with unstable phase
Convergence of discrete schemes for the Perona-Malik equation
On a class of equations with variable parabolicity direction
A free boundary characterization of measure-valued solutions for forward-backward diffusion
A new nonlocal nonlinear diffusion of image processing
Two-phase entropy solutions of a forward-backward parabolic equation
Dynamics of measured valued solutions to a backward-forward heat equation
Axioms and fundamental equations of image processing
Maximum and comparison principle for one-dimensional anisotropic diffusion
Localization in lattice and continuum models of reinforced random walks
Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation
Conjectures on some evolution problems
Hysteresis and phase transitions
Degenerate regularization of forward-backward parabolic equations: the vanishing viscosity limit
Sobolev approximation for two-phase solutions of forward-backward parabolic problems
Convergence of a semidiscrete scheme for a forward-backward parabolic equation
The Riemann problem for a forward-backward parabolic equation
Degenerate regularization of forward-backward parabolic equations: the regularized problem
Non-uniqueness results for entropy two-phase solutions of forward-backward parabolic problems with unstable phase
Stable discretization of scalar and constrained vectorial Perona-Malik equation
Young measure solutions and instability of the one-dimensional Perona-Malik equation
Existence of infinitely many solutions for the one-dimensional Perona-Malik model
Non-smooth regularization of a forward-backward parabolic equation
NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION
CONVERGENCE FOR LONG-TIMES OF A SEMIDISCRETE PERONA–MALIK EQUATION IN ONE DIMENSION
Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
Slow Time Behavior of the Semidiscrete Perona–Malik Scheme in One Dimension
Qualitative Behavior of the Two-Phase Entropy Solution of a Forward-Backward Parabolic Problem
The $\Gamma $-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type
Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
Inpainting of Binary Images Using the Cahn–Hilliard Equation
Upper bounds on the coarsening rate of discrete, ill‐posed nonlinear diffusion equations
A class of local classical solutions for the one-dimensional Perona-Malik equation
The Stefan Problem with a Non-monotone Constitutive Relation
Stable Patterns in a Viscous Diffusion Equation
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
Weak Convergence of Integrands and the Young Measure Representation
A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
The Perona--Malik Paradox
Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations
Measure-Valued Solutions to a Nonlinear Fourth-Order Regularization of Forward-Backward Parabolic Equations
IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
Aggregation under local reinforcement: From lattice to continuum
An analysis of the Perona-Malik scheme
Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
Young Measure Solutions for a Nonlinear Parabolic Equation of Forward-Backward Type
Convergence of the One-Dimensional Cahn--Hilliard Equation
Entire Solutions of the One-Dimensional Perona-Malik Equation
Time-delay regularization of anisotropic diffusion and image processing
Long-Time Behavior of Solutions to a Class of Forward-Backward Parabolic Equations
Interface Dynamics in Discrete Forward-Backward Diffusion Equations
Global Solutions to the Gradient Flow Equation of a Nonconvex Functional
Forward-backward parabolic equations and hysteresis
A discrete model for an ill-posed nonlinear parabolic PDE
Fast Reaction Limit with Nonmonotone Reaction Function
A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional
Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities
Two New Nonlinear Nonlocal Diffusions for Noise Reduction

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