Geodesic
On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 178-189 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A class of models in classical statistical mechanics that are the discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces is considered. The existence and uniqueness of a solution to the Cauchy problem with arbitrary initial data are proved for the equations of motion of these models. It follows from this result that for the considered models the dynamics exists on the entire infinitedimensional phase space. It is also shown that the constructed dynamics is the limit of a sequence of finite-dimensional dynamics. 
@article{TMF_1981_49_2_a3,
     author = {B. I. Shubov},
     title = {On the unique solvability of the {Cauchy} problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {178--189},
     year = {1981},
     volume = {49},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a3/}
}
TY  - JOUR
AU  - B. I. Shubov
TI  - On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 178
EP  - 189
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a3/
LA  - ru
ID  - TMF_1981_49_2_a3
ER  - 
%0 Journal Article
%A B. I. Shubov
%T On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 178-189
%V 49
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a3/
%G ru
%F TMF_1981_49_2_a3
B. I. Shubov. On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 178-189. http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a3/

[1] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl

[2] Kobayashi S., Nomizu K., Foundations of Differential Geometry, v. 2, IP, N.-Y., 1969 | MR | Zbl

[3] Lanford O. E., III, Lecture Notes in Physics, 38, 1975, 1–111 | DOI | MR | Zbl

[4] Sinai Ya. G., TMF, 11:2 (1972), 248–258 | MR

[5] Sinai Ya. G., Vestn. MGU, ser. 1, matem. mekh., 1974, no. 29, 152–158 | MR

[6] Presutti E., Pulvirenti M., Tirozzi B., Commun. Math. Phys., 47:1 (1976), 81–95 | DOI | MR

[7] Dobrushin R. L., Fritz L., Commun. Math. Phys., 55:5 (1977), 275–292 | DOI | MR | Zbl

[8] Vuillermot P. A., Commun. Math. Phys., 76:1 (1980), 1–26 | DOI | MR | Zbl

[9] Kaganova E. M., Veroyatnostnye teoremy suschestvovaniya dlya kiralnykh polei, Diplomnaya rabota, MGU, M., 1979

[10] Shubov V. I., Zap. nauchn. seminarov LOMI, 97 (1980), 217–224 | MR | Zbl

[11] Zakharov V. E., Mikhailov A. V., ZhETF, 74:6 (1978), 1953–1973 | MR