@article{RSMUP_1987__77__317_0,
author = {Miric\u a, \c Stefan},
title = {Generalized solutions by Cauchy's method of characteristics},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {78},
year = {1987},
pages = {317-350},
mrnumber = {904627},
zbl = {0627.49015},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_1987__77__317_0}
}
Mirică, Ştefan. Generalized solutions by Cauchy's method of characteristics. Rendiconti del Seminario Matematico della Università di Padova, Tome 78 (1987) pp. 317-350. http://gdmltest.u-ga.fr/item/RSMUP_1987__77__317_0/
[1] - J. ROBBIN, Transversal Mappings and Flows, Benjamin, New York, 1967. | MR 240836 | Zbl 0171.44404
[2] jr., The Hamilton-Jacobi equation. A global approach, Academic Press, New York, 1977. | MR 442431 | Zbl 0418.49001
[3] , Mathematical Methods of Optimal Control, Holt, Rinehart & Winston, New York, 1971. | MR 353081 | Zbl 0213.15504
[4] , Existence of regular synthesis for general control problems, J. Differential Equations, 38 (1980), pp. 317-343. | MR 605053 | Zbl 0417.49030
[5] , Optimization. Theory and Applications, Springer, New York, 1983. | MR 688142 | Zbl 0506.49001
[6] , Optimal control and the true hamiltonian, SIAM Review, 21 (1979), pp. 157-166. | MR 524510 | Zbl 0408.49025
[7] - , Methods of Mathematical Physics, vol. II, Wiley, New York, 1962. | MR 1013360 | Zbl 0099.29504
[8] - - , Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. A.M.S., 282, 2 (1984), pp. 487-502. | MR 732102 | Zbl 0543.35011
[9] , On the Cauchy problem for Bellman equation of dynamic programming, Z. Vyc. Mat. i Mat. Phys., 9 (1969), pp. 426-432 (Russian). | MR 258448 | Zbl 0224.49020
[10] , The Cauchy problem for a nonlinear first order partial differential equation, J. Differential Equations, 5 (1969), pp . 515-530. | MR 235269 | Zbl 0172.13901
[11] , Differential Equations, Ed. Did. Pedagogică, Bucuresti, 1972 (Romanian). | MR 355142
[12] , Ordinary Differential Equations, Wiley, New York, 1964. | MR 171038 | Zbl 0125.32102
[13] , Differential Games, Wiley, New York, 1965. | MR 210469 | Zbl 0125.38001
[14] , Introduction to Differentiable Manifolds, Interscience, New York, 1962. | MR 155257 | Zbl 0103.15101
[15] , Generalized Solutions of Hamilton-Jacobi Equations, Pitman, Boston, 1982. | MR 667669 | Zbl 0497.35001
[16] , Stratifications and Mappings, Preprint, Harvard University (Russian transl.: Uspehi Mat. Nauk, 27 (1972), pp. 85-118). | MR 385917 | Zbl 0253.58005
[17] , The contingent and the paratingent as generalized derivatives for vector-valued and set-valued mappings, Nonlinear Analysis. Theory, Theory & Appl., 6 (1982), pp. 1335-1368. | MR 684969 | Zbl 0529.26010
[18] , Stratified Hamiltonians and the optimal feedback control, Ann. Mat. Pura Appl., 33 (1983), pp. 51-78. | MR 725019 | Zbl 0523.49020
[19] , Stratified Hamilton-Jacobi equations and applications, Anal. Univ. Bucureşti, Seria Mat., 33 (1984), pp. 59-68. | MR 773733 | Zbl 0546.49009
[20] , Dynamic programming method for stratified optimal control problems, Preprint Series in Mathematics, No. 12/1984, Increst-Inst. Inst. Mat., Bucureşti, 1984.
[21] , Sufficiency theorem for discontinuous optimal cost surfaces, SIAM J. Control Opt., 16 (1978), pp. 63-82. | MR 487730 | Zbl 0385.49007
[22] , Analytic stratifications and control theory, « Proc. Int. Congress of Math. » (Helsinki, 1978), pp. 865-871. | MR 562701 | Zbl 0499.93023
[23] , Subanalytic sets in the Calculus of Variations, Acta Math., 146 (1981), pp. 167-199. | MR 611382 | Zbl 0478.58010
[24] , Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., 75 (1969), pp. 24-284. | MR 239613 | Zbl 0197.20502
[25] , Tangents to an analytic variety, Ann. of Math., 81 (1965), pp. 496-549. | MR 192520 | Zbl 0152.27701