On the Hamilton-Jacobi theory for nonsmooth variational problems

We consider the classical Bolza problem under fairly general assumptions on its components (the integrand and off-integral function). The main results obtained are: conditions for the semicontinuity of the value functions, a characterization of the subdifferential of the value function and a partial conversion of the latter result. Bibliography: 15 titles.

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Publication Details

Journal
Sbornik Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4213/sm10239e
Primary Topic
Optimization and Variational Analysis
Type
article
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On the Hamilton-Jacobi theory for nonsmooth variational problems

A. D. Ioffe
Sbornik Mathematics
Optimization and Variational Analysis
article

On the Hamilton-Jacobi theory for nonsmooth variational problems

A. D. Ioffe
article en

Abstract

We consider the classical Bolza problem under fairly general assumptions on its components (the integrand and off-integral function). The main results obtained are: conditions for the semicontinuity of the value functions, a characterization of the subdifferential of the value function and a partial conversion of the latter result. Bibliography: 15 titles.

Sbornik MathematicsVol. 216(3)
Technion – Israel Institute of Technology (IL)
Openalex Percentile: Top 88%
Optimization and Variational Analysis
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On the Hamilton-Jacobi theory for nonsmooth variational problems — A. D. Ioffe · Sbornik Mathematics (2025) | TGRS Research Map | TGRS