Geodesic
On the phenomenon of the support shrinking of a~solution with a~time delay and on the extinction of the solution
Sbornik. Mathematics, Tome 212 (2021) no. 2, pp. 170-184

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

The phenomenon of support shrinking with a time delay for the solution of a doubly nonlinear degenerate parabolic equation is studied in the case of slow diffusion and strong absorption. For a nonnegative solution, a sufficient condition for support shrinking beginning with some moment of time is deduced in terms of the local behaviour of the mass of the initial datum. It is also proved that the solution vanishes identically in finite time. Bibliography: 21 titles.
Keywords: degenerate parabolic equation, support shrinking
Mots-clés : absorption, extinction of a solution. 
@article{SM_2021_212_2_a1,
     author = {S. P. Degtyarev},
     title = {On the phenomenon of the support shrinking of a~solution with a~time delay and on the extinction of the solution},
     journal = {Sbornik. Mathematics},
     pages = {170--184},
     publisher = {mathdoc},
     volume = {212},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2021_212_2_a1/}
}
TY  - JOUR
AU  - S. P. Degtyarev
TI  - On the phenomenon of the support shrinking of a~solution with a~time delay and on the extinction of the solution
JO  - Sbornik. Mathematics
PY  - 2021
SP  - 170
EP  - 184
VL  - 212
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2021_212_2_a1/
LA  - en
ID  - SM_2021_212_2_a1
ER  - 
%0 Journal Article
%A S. P. Degtyarev
%T On the phenomenon of the support shrinking of a~solution with a~time delay and on the extinction of the solution
%J Sbornik. Mathematics
%D 2021
%P 170-184
%V 212
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2021_212_2_a1/
%G en
%F SM_2021_212_2_a1
S. P. Degtyarev. On the phenomenon of the support shrinking of a~solution with a~time delay and on the extinction of the solution. Sbornik. Mathematics, Tome 212 (2021) no. 2, pp. 170-184. http://geodesic.mathdoc.fr/item/SM_2021_212_2_a1/