Geodesic
Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 438-448

Voir la notice de l'article provenant de la source Math-Net.Ru

Accurate (best possible) upper estimates are obtained for the amplitude and length of support of unbounded solutions of the quasilinear degenerate parabolic equation of non-linear heat conduction with a source. The estimates are established by means of a special “comparison by intersections” technique with an exact non-invariant solution of the equation with the same existence time. This comparison, moreover, illustrates the fact that the Cauchy problem for the equation with a delta-function as the initial datum is solvable. 
@article{ZVMMF_1990_30_3_a8,
     author = {V. A. Galaktionov},
     title = {Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a~source},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {438--448},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a8/}
}
TY  - JOUR
AU  - V. A. Galaktionov
TI  - Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 438
EP  - 448
VL  - 30
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a8/
LA  - ru
ID  - ZVMMF_1990_30_3_a8
ER  - 
%0 Journal Article
%A V. A. Galaktionov
%T Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 438-448
%V 30
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a8/
%G ru
%F ZVMMF_1990_30_3_a8
V. A. Galaktionov. Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 438-448. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a8/