On the Hamilton–Jacobi theory for nonsmooth variational problems

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Аннотация

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.

Авторлар туралы

Alexander Ioffe

Technion – Israel Institute of Technology, Haifa, Israel

Email: ioffe@technion.ac.il

Әдебиет тізімі

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  12. R. T. Rockafellar, “Existence and duality theorems for convex problems of Bolza”, Trans. Amer. Math. Soc., 159 (1971), 1–40
  13. R. T. Rockafellar, “Existence theorems for general control problems of Bolza and Lagrange”, Adv. Math., 15:3 (1975), 312–333
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© Ioffe A.D., 2025

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