Rectifiability of self contracted curves in the euclidean space and applications

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Rectiﬁability of Self-Contracted Curves in the Euclidean Space and Applications
- Abstract
- Introduction
  - Motivation and State-of-the-Art
  - Contributions of This Work
  - Notation and Preliminaries
    - Self-Expanded Curves
    - Self-Contracted Versus Self-Expanded Curves
    - Rectiﬁability of Self-Contracted Curves
      - Proof of the Main Result
      - Arc-Length Reparameterization
      - Applications
        Orbits of Convex Foliations
        Nonsmooth Convex Foliations
        Generalized Solutions and Self-Contractedness
        Smooth Solutions and Strong Self-Contractedness
        Polygonal Approximations of Smooth Strongly Self-Contracted Curves
        Convergence of the Proximal Algorithm
        Acknowledgements
        References

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Rectifiability of self contracted curves in the euclidean space and applications

Thông tin tài liệu

Từ khóa liên quan

Mục lục

Rectiﬁability of Self-Contracted Curves in the Euclidean Space and Applications

Abstract

Introduction

Motivation and State-of-the-Art

Contributions of This Work

Notation and Preliminaries

Self-Expanded Curves

Self-Contracted Versus Self-Expanded Curves

Rectiﬁability of Self-Contracted Curves

Proof of the Main Result

Arc-Length Reparameterization

Applications

Orbits of Convex Foliations

Nonsmooth Convex Foliations

Generalized Solutions and Self-Contractedness

Smooth Solutions and Strong Self-Contractedness

Polygonal Approximations of Smooth Strongly Self-Contracted Curves

Convergence of the Proximal Algorithm

Acknowledgements

References

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Tài liệu liên quan