Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 251-258
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V. A. Tupchiev. On the uniqueness of a continuous solution of the problem of decay of an arbitrary discontinuity for a gradient system. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 251-258. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a9/
@article{MZM_1973_13_2_a9,
author = {V. A. Tupchiev},
title = {On the uniqueness of a~continuous solution of the problem of decay of an~arbitrary discontinuity for a~gradient system},
journal = {Matemati\v{c}eskie zametki},
pages = {251--258},
year = {1973},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a9/}
}
TY - JOUR
AU - V. A. Tupchiev
TI - On the uniqueness of a continuous solution of the problem of decay of an arbitrary discontinuity for a gradient system
JO - Matematičeskie zametki
PY - 1973
SP - 251
EP - 258
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a9/
LA - ru
ID - MZM_1973_13_2_a9
ER -
%0 Journal Article
%A V. A. Tupchiev
%T On the uniqueness of a continuous solution of the problem of decay of an arbitrary discontinuity for a gradient system
%J Matematičeskie zametki
%D 1973
%P 251-258
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a9/
%G ru
%F MZM_1973_13_2_a9
S. K. Godunov has established that the Lagrange variational equations, the differential equations of crystal optics, belong to a class of gradient systems. The problem of the decay of an arbitrary discontinuity for this system is considered herein, and an example is constructed of the ambiguity of a continuous solution of this problem. Moreover, some sufficient conditions for uniqueness of the continuous solution are indicated.
