Sobolev spaces and multidimensional Lagrange problems of optimization

Lamberto Cesari

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1968)

  • Volume: 22, Issue: 2, page 193-227
  • ISSN: 0391-173X

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Cesari, Lamberto. "Sobolev spaces and multidimensional Lagrange problems of optimization." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1968): 193-227. <http://eudml.org/doc/83456>.

@article{Cesari1968,
author = {Cesari, Lamberto},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {control theory},
language = {eng},
number = {2},
pages = {193-227},
publisher = {Scuola normale superiore},
title = {Sobolev spaces and multidimensional Lagrange problems of optimization},
url = {http://eudml.org/doc/83456},
volume = {22},
year = {1968},
}

TY - JOUR
AU - Cesari, Lamberto
TI - Sobolev spaces and multidimensional Lagrange problems of optimization
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1968
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 193
EP - 227
LA - eng
KW - control theory
UR - http://eudml.org/doc/83456
ER -

References

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  1. [1] L. CesariExistence theorems for optimal solutions in Pontryagin and Lagrange problems. SIAM J. Control3, 1965, 475-498. Zbl0137.08204MR199762
  2. [2] L. Cesari, Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints, I and II. Trans. Amer. Math Soo.124, 1966, 369-412), 413-429. Zbl0145.12501MR203542
  3. [3] L. Cesari, Existence theorems for multidimensional problems of optimal control. Differential Equations and Dynamical Systems-Academic Press, 1967, 115-132. Zbl0186.48803MR220130
  4. [4] L. Cesari, Existence theorems for multidimensional Lagrance problems. Journal of Optimization Theory and Applications, 1, 1967, 87-114. Zbl0156.12503MR226463
  5. [5] R.V. Gamkrelidzf, On sliding optimal states, Dokl. Akad. Nauk SSSR.143, 1962, 1243. 1244. Also, Soviet Dokl., 3, 1962, 559-561. Zbl0131.32402MR137904
  6. [6] J.V. Lewis, The existence of solutions to Lagrange problems for multiple integrals. Duke Math. J.12, 1945, 705-722. Zbl0063.03541MR16208
  7. [7] C.B. Morrey.Multiple integral problems in the calculus of variations and related topics, Univ. of California Press, 1943, pp. 1-130. Zbl0063.04107MR11537
  8. [8] S.L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Translations Math Monographs, vol. 7, Amer. Math. Soc., Providence, R. I., 1963. Zbl0123.09003MR165337

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