Geodesic
Asymptotics of a~solution to the heat equation with a~singularity at the boundary
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 268-272

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

The third boundary value problem for a second-order parabolic equation in a half-space with singularity is considered. The singularity consists in the presence of a moving band heat source with delta-like source intensity function at the boundary of the domain. An exact analytic solution of the problem is found, and the behavior of this solution in a neighborhood of the singularity is investigated.
Keywords: boundary value problems for partial differential equations, asymptotics of a solution. 
@article{TIMM_2012_18_1_a20,
     author = {I. V. Pershin},
     title = {Asymptotics of a~solution to the heat equation with a~singularity at the boundary},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {268--272},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a20/}
}
TY  - JOUR
AU  - I. V. Pershin
TI  - Asymptotics of a~solution to the heat equation with a~singularity at the boundary
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2012
SP  - 268
EP  - 272
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a20/
LA  - ru
ID  - TIMM_2012_18_1_a20
ER  - 
%0 Journal Article
%A I. V. Pershin
%T Asymptotics of a~solution to the heat equation with a~singularity at the boundary
%J Trudy Instituta matematiki i mehaniki
%D 2012
%P 268-272
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a20/
%G ru
%F TIMM_2012_18_1_a20
I. V. Pershin. Asymptotics of a~solution to the heat equation with a~singularity at the boundary. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 268-272. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a20/