Variable step mollifiers and applications

DOI10.1007/s00020-020-02608-2zbMath1478.46034arXiv1910.02751OpenAlexW3109839334WikidataQ122875526 ScholiaQ122875526MaRDI QIDQ2037142

Carlos N. Rautenberg, Kostas Papafitsoros, Michael Hintermüller

Publication date: 30 June 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02751

zbMATH Keywords

integral operatorsboundary valuesmollificationdensity of convex sets

Mathematics Subject Classification ID

Variational inequalities (49J40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45)

Related Items (2)

Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization ⋮ Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A duality-based path-following semismooth Newton method for elasto-plastic contact problems
• The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow
• A mollifying operator with a variable radius, and an inverse theorem on traces
• Fractional elliptic quasi-variational inequalities: theory and numerics
• Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory
• Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests
• Analytical aspects of spatially adapted total variation regularisation
• On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces
• On the existence of certain singular integrals
• Variational Analysis in Sobolev and BV Spaces
• Density of convex intersections and applications
• A function space framework for structural total variation regularization with applications in inverse problems
• The integrability of negative powers of the soution to the Saint Venant problem
• Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications
• Path-following Methods for a Class of Constrained Minimization Problems in Function Space

This page was built for publication: Variable step mollifiers and applications