Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry

Author:

Castelpietra Marco,Rifford Ludovic

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference26 articles.

1. R. Abraham and J.E. Marsden,Foundations of Mechanics.Benjamin, London (1978).

2. A.A. Agrachev, Geometry of optimal control problems and Hamiltonian systems, inNonlinear and optimal control theory,Lectures Notes in Mathematics1932, Springer, Berlin (2008) 1–59.

3. On the singularities of convex functions

4. G. Barles,Solutions de viscosité des équations de Hamilton-Jacobi,Mathématiques et Applications17. Springer-Verlag (1994).

5. Exit Time Problems in Optimal Control and Vanishing Viscosity Method

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities;Journal of Physics A: Mathematical and Theoretical;2022-10-07

2. The Persistent Homology of Cyclic Graphs;International Journal of Computational Geometry & Applications;2022-03

3. Representation Formulas for Contact Type Hamilton-Jacobi Equations;Journal of Dynamics and Differential Equations;2021-02-25

4. The azimuthal equidistant projection for a Finsler manifold by the exponential map;Pacific Journal of Mathematics;2020-12-03

5. Global Generalized Characteristics for the Dirichlet Problem for Hamilton--Jacobi Equations at a Supercritical Energy Level;SIAM Journal on Mathematical Analysis;2019-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3