Free Access
Volume 20, Number 3, July-September 2014
Page(s) 771 - 802
Published online 21 May 2014
  1. L. Ambrosio, O. Ascenzi and G. Buttazzo, Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. J. Math. Anal. Appl. 142 (1989) 301–316. [CrossRef] [MathSciNet] [Google Scholar]
  2. M. Bardi and I. Capuzzo-Dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Birkhäuser, Boston (1997). [Google Scholar]
  3. G. Barles, Solutions de viscosité des équations de Hamilton–Jacobi. Springer-Verlag, Berlin Heidelberg (1994). [Google Scholar]
  4. E.N. Barron and R. Jensen, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Commun. Partial Differ. Eqs. 15 (1990) 1713–1742. [CrossRef] [Google Scholar]
  5. L. Cesari, Optymization – theory and applications, problems with ordinary differential equations. Springer, New York (1983). [Google Scholar]
  6. F.H. Clarke, Optimization and nonsmooth analysis. Wiley, New York (1983). [Google Scholar]
  7. F.H. Clarke and P.D. Loewen, Variational problems with Lipschitzian minimizers. Ann. Inst. Henri Poincare, Anal. Nonlinaire 6 (1989) 185–209. [Google Scholar]
  8. F.H. Clarke and R.B. Vinter, Regularity properties of solutions to the basic problem in the calculus of variations. Trans. Amer. Math. Soc. 289 (1985) 73–98. [CrossRef] [MathSciNet] [Google Scholar]
  9. M.G. Crandall and P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 277 (1983) 1–42. [CrossRef] [MathSciNet] [Google Scholar]
  10. M.G. Crandall, L.C. Evans and P.-L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 282 (1984) 487–502. [CrossRef] [MathSciNet] [Google Scholar]
  11. G. Dal Maso, H. Frankowska, Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. ESAIM: COCV 5 (2000) 369–393. [CrossRef] [EDP Sciences] [Google Scholar]
  12. H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. 31 (1993) 257–272. [CrossRef] [MathSciNet] [Google Scholar]
  13. H. Frankowska, S. Plaskacz and T. Rzeʆuchowski, Measurable viability theorems and Hamilton-Jacobi-Bellman equation. J. Differ. Eqs. 116 (1995) 265–305. [Google Scholar]
  14. G.H. Galbraith, Extended Hamilton – Jacobi characterization of value functions in optimal control. SIAM J. Control Optim. 39 (2000) 281–305. [CrossRef] [MathSciNet] [Google Scholar]
  15. G.H. Galbraith, Cosmically Lipschitz Set-Valued Mappings. Set-Valued Analysis 10 (2002) 331–360. [CrossRef] [MathSciNet] [Google Scholar]
  16. L. Górniewicz, Topological Fixed Point Theory of Multivalued Mappings. Springer (1999). [Google Scholar]
  17. P.D. Loewen and R.T. Rockafellar, Optimal control of unbounded differential inclusions. SIAM J. Control Optim. 32 (1994) 442–470. [CrossRef] [MathSciNet] [Google Scholar]
  18. P.D. Loewen, R.T. Rockafellar, New necessary conditions for the generalized problem of Bolza. SIAM J. Control Optim. 34 (1996) 1496–1511. [CrossRef] [MathSciNet] [Google Scholar]
  19. P.D. Loewen and R.T. Rockafellar, Bolza problems with general time constraints. SIAM J. Control Optim. 35 (1997) 2050–2069. [CrossRef] [MathSciNet] [Google Scholar]
  20. S. Plaskacz and M. Quincampoix, On representation formulas for Hamilton Jacobi’s equations related to calculus of variations problems. Topol. Methods Nonlinear Anal. 20 (2002) 85–118. [Google Scholar]
  21. M. Quincampoix, N. Zlateva, On lipschitz regularity of minimizers of a calculus of variations problem with non locally bounded Lagrangians CR Math. 343 (2006) 69–74. [CrossRef] [Google Scholar]
  22. R.T. Rockafellar, Equivalent subgradient versions of Hamiltonian and Euler – Lagrange equations in variational analysis. SIAM J. Control Optim. 34 (1996) 1300–1314. [CrossRef] [MathSciNet] [Google Scholar]
  23. R.T. Rockafellar and R.J.-B. Wets, Variational Analysis. Springer-Verlag, Berlin (1998). [Google Scholar]

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