THE MINIMIZING TOTAL VARIATION FLOW WITH MEASURE INITIAL CONDITIONS

DOI10.1142/S0219199704001367zbMath1082.35090MaRDI QIDQ5315548

J. S. Moll, Fuensanta Andreu, José M. Mazón Ruiz, Vincent Caselles

Publication date: 8 September 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence and uniquenessentropy conditionradon measure

Mathematics Subject Classification ID

Related Items (13)

Entropy solutions for a fourth-order nonlinear degenerate problem for noise removal ⋮ Continuity of minimizers to weighted least gradient problems ⋮ Total variation time flow with quantile regression for image restoration ⋮ Existence for evolutionary problems with linear growth by stability methods ⋮ The total variation flow with time dependent boundary values ⋮ A strongly degenerate quasilinear equation: the parabolic case ⋮ On 1-Laplacian elliptic equations modeling magnetic resonance image Rician denoising ⋮ The anisotropic total variation flow ⋮ Global existence and uniqueness for the inhomogeneous 1-Laplace evolution equation ⋮ On the solutions to 1-Laplacian equation with \(L^1\) data ⋮ Existence for evolutionary Neumann problems with linear growth by stability results ⋮ A Time Dependent Variational Approach to Image Restoration ⋮ On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual $$ H^{1}$$ Penalty Model for Image Restoration

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
• Pairings between measures and bounded functions and compensated compactness
• Image recovery via total variation minimization and related problems
• Some qualitative properties for the total variation flow
• Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
• Integral Inequalities of Poincare and Wirtinger Type for BV Functions
• Weakly Differentiable Functions
• Local Strong Homogeneity of a Regularized Estimator
• The Dirichlet problem for the total variation flow

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