Geodesic
On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 145 (2018), pp. 110-113.

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

This paper is devoted to the study of asymptotic behavior as $t\to\infty$ of mean (in time) values of solutions to the Cauchy problem for parabolic equations.
Keywords: asymptotics, Cauchy problem
Mots-clés : parabolic equation, Poisson integral. 
@article{INTO_2018_145_a3,
     author = {P. V. Denisov},
     title = {On the {Asymptotics} of {Mean} {Values} of {Solutions} to the {Cauchy} problem for a {System} of {Parabolic} {Equations}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {110--113},
     publisher = {mathdoc},
     volume = {145},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_145_a3/}
}
TY  - JOUR
AU  - P. V. Denisov
TI  - On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2018
SP  - 110
EP  - 113
VL  - 145
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2018_145_a3/
LA  - ru
ID  - INTO_2018_145_a3
ER  - 
%0 Journal Article
%A P. V. Denisov
%T On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2018
%P 110-113
%V 145
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2018_145_a3/
%G ru
%F INTO_2018_145_a3
P. V. Denisov. On the Asymptotics of Mean Values of Solutions to the Cauchy problem for a System of Parabolic Equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 145 (2018), pp. 110-113. http://geodesic.mathdoc.fr/item/INTO_2018_145_a3/

[1] Viner N., Integral Fure i nekotorye ego prilozheniya, M., 1964

[2] Denisov V. N., “O strukture stepennykh asimptotik reshenii zadachi Koshi dlya parabolicheskikh i giperbolicheskikh uravnenii”, Dokl. RAN, 329:3 (1993), 261–264 | Zbl

[3] Repnikov V. D., “O ravnomernoi stabilizatsii resheniya zadachi Koshi dlya parabolicheskikh uravnenii”, Dokl. AN SSSR, 157:3 (1964), 532–535 | Zbl

[4] Tikhonov A. N., “Teoremy edinstvennosti dlya uravneniya teploprovodnosti”, Mat. sb., 42:2 (1935), 199–216

[5] Eidelman S. D., Parabolicheskie sistemy, M., 1964