Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1072-1087
Citer cet article
V. A. Galaktionov. On the global unsolvability of Cauchy problems for quasilinear parabolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1072-1087. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a4/
@article{ZVMMF_1983_23_5_a4,
author = {V. A. Galaktionov},
title = {On the global unsolvability of {Cauchy} problems for quasilinear parabolic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1072--1087},
year = {1983},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a4/}
}
TY - JOUR
AU - V. A. Galaktionov
TI - On the global unsolvability of Cauchy problems for quasilinear parabolic equations
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1072
EP - 1087
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a4/
LA - ru
ID - ZVMMF_1983_23_5_a4
ER -
%0 Journal Article
%A V. A. Galaktionov
%T On the global unsolvability of Cauchy problems for quasilinear parabolic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1072-1087
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a4/
%G ru
%F ZVMMF_1983_23_5_a4
Sufficient conditions are found for global unsolvability of the Cauchy problem for parabolic equations of the non-linear heat conduction type with a source. In the case of equations of a special kind, the class of initial functions is isolated, with which the Cauchy problem is globally solvable.
