Geodesic
The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 20-24 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For a heat conduction equation with non-linear sources whose action intensifies at infinity, it is proved that the Cauchy problem has no locally bounded solution in any time interval. In the case of non-linear heat absorption decaying at infinity, necessary and sufficient conditions are found for instantaneous compactification of the support of the solution for the Cauchy problem. 
@article{VMUMM_1983_3_a3,
     author = {A. S. Kalashnikov},
     title = {The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {20--24},
     year = {1983},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a3/}
}
TY  - JOUR
AU  - A. S. Kalashnikov
TI  - The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 1983
SP  - 20
EP  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a3/
LA  - ru
ID  - VMUMM_1983_3_a3
ER  - 
%0 Journal Article
%A A. S. Kalashnikov
%T The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 20-24
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a3/
%G ru
%F VMUMM_1983_3_a3
A. S. Kalashnikov. The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 20-24. http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a3/