Geodesic
Explicit solution of Cauchy problem for the linearized system of phase field equations
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 126 (2012) no. 1, pp. 256-260 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The explicit solution of Cauchy problem for the linearized system of phase field equations is received by reduction it to the abstract Cauchy problem in Banach space.
Keywords: linearized system of phase field equations, strongly continuous semi-groups of operators in Banach spaces. 
@article{VSGTU_2012_126_1_a28,
     author = {Kh. G. Umarov},
     title = {Explicit solution of {Cauchy} problem for the linearized system of phase field equations},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {256--260},
     year = {2012},
     volume = {126},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a28/}
}
TY  - JOUR
AU  - Kh. G. Umarov
TI  - Explicit solution of Cauchy problem for the linearized system of phase field equations
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2012
SP  - 256
EP  - 260
VL  - 126
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a28/
LA  - ru
ID  - VSGTU_2012_126_1_a28
ER  - 
%0 Journal Article
%A Kh. G. Umarov
%T Explicit solution of Cauchy problem for the linearized system of phase field equations
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2012
%P 256-260
%V 126
%N 1
%U http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a28/
%G ru
%F VSGTU_2012_126_1_a28
Kh. G. Umarov. Explicit solution of Cauchy problem for the linearized system of phase field equations. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 126 (2012) no. 1, pp. 256-260. http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a28/

[1] Zagrebina S. A., “On the Showalter–Sidorov problem”, Russian Math. (Iz. VUZ), 51:3 (2007), 19–24 | DOI | MR | Zbl

[2] Umarov Kh. G., The explicit form of solutions for linearized system of phase field equations, ChechGU, Groznyi, 2010, 27 pp. (Deposited at VINITI 24.05.10 No. 303–B2010)

[3] Tribel' Kh., Interpolation theory, function spaces, differential operators, Mir, Moscow, 1980, 664 pp. | MR

[4] Krein S. G., Linear differential equations in a Banach space, Nauka, Moscow, 1967, 464 pp. | MR

[5] Hille E., Fillips R., Functional analysis and semi-groups, Inostran. Lit., Moscow, 1962, 829 pp. | MR