Geodesic
On the convergence velocity of Rothe's method for parabolic equation in noncylindric domain
Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This article investigates the Rothe's method for starting boundary value problem for the linear parabolic equation of the second order in the domain, the boundary of which depends on time. The estimates of the convergence are obtained. 
@article{DVMG_2004_5_1_a1,
     author = {P. V. Vinogradova and A. G. Zarubin},
     title = {On the convergence velocity of {Rothe's} method for parabolic equation in noncylindric domain},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {5--11},
     year = {2004},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a1/}
}
TY  - JOUR
AU  - P. V. Vinogradova
AU  - A. G. Zarubin
TI  - On the convergence velocity of Rothe's method for parabolic equation in noncylindric domain
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2004
SP  - 5
EP  - 11
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a1/
LA  - ru
ID  - DVMG_2004_5_1_a1
ER  - 
%0 Journal Article
%A P. V. Vinogradova
%A A. G. Zarubin
%T On the convergence velocity of Rothe's method for parabolic equation in noncylindric domain
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2004
%P 5-11
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a1/
%G ru
%F DVMG_2004_5_1_a1
P. V. Vinogradova; A. G. Zarubin. On the convergence velocity of Rothe's method for parabolic equation in noncylindric domain. Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 5-11. http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a1/

[1] E. Rothe, “Warmeleiturgsgleichung mit nichtconstanten koeffizienten”, Math. Ann., 104 (1931), 340–362 | DOI | MR | Zbl

[2] P. V. Vinogradova, A. G. Zarubin, “O metode Galerkina dlya kvazilineinykh parabolicheskikh uravnenii v netsilindricheskoi oblasti”, Dalnevost. mat. zhurn., 3:1 (2002), 3–17

[3] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR

[4] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964, 540 pp. | MR

[5] E. Bekkenbakh, R. Bellman, Neravenstva, Mir, M., 1965, 276 pp. | MR