On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions
From MaRDI portal
Publication:847735
DOI10.1016/j.jmaa.2009.10.064zbMath1183.49024OpenAlexW2030714642MaRDI QIDQ847735
Publication date: 19 February 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.064
Sensitivity, stability, well-posedness (49K40) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items
Interpolation on variable Morrey spaces defined on quasi-metric measure spaces ⋮ Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces \(L^{p(.)}\) ⋮ Toeplitz operators on variable exponent Bergman spaces ⋮ Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators ⋮ Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces ⋮ Carleson measures for variable exponent Bergman spaces ⋮ Total variation time flow with quantile regression for image restoration ⋮ Convolution integral operators in variable bounded variation spaces ⋮ \(\theta\)-type Calderón-Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces ⋮ Complex interpolation on variable exponent Campanato spaces of orderk ⋮ Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative ⋮ Nemytskii operator in Riesz-bounded variation spaces with variable exponent ⋮ On maximal and potential operators with rough kernels in variable exponent spaces ⋮ Bounded variation spaces with \(p\)-variable ⋮ Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces ⋮ From Arzelà-Ascoli to Riesz-Kolmogorov ⋮ Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers ⋮ On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual $$ H^{1}$$ Penalty Model for Image Restoration ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Elastic plastic deformation
- Convex functionals and partial regularity
- Image recovery via total variation minimization and related problems
- Parabolic quasilinear equations minimizing linear growth functionals
- A partial regularity result for an anisotropic smoothing functional for image restoration in BV space
- Analysis of bounded variation penalty methods for ill-posed problems
- A Variational Method in Image Recovery
- Edge-preserving and scale-dependent properties of total variation regularization
- Recovery of Blocky Images from Noisy and Blurred Data
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Partial Regularity for a Selective Smoothing Functional for Image Restoration in BV Space