Geodesic
On kernels and images of resolving analytic degenerate semigroups in quasi-Sobolev spaces
Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 10-19 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The theory of holomorphic degenerate semigroups of operators was constructed earlier in Banach spaces and Frechet spaces. However, examples of study of mathematical objects show the necessity of their consideration in more general cases. In this article the theory of holomorphic degenerate semigroups of operators is transferred to quasi-Sobolev spaces of sequences which are quasi-normed and even quasi-Banach spaces. The article besides the introduction and references contains two paragraphs. In the first, resolving analytic degenerate semigroups are constructed. The second paragraph includes the study of kernels and images of analytic semigroups.
Keywords: analytic degenerate semigroup
Mots-clés : kernels and images, quasi-Banach spaces, quasi-Sobolev spaces. 
@article{JCEM_2016_3_1_a1,
     author = {J. K. T. Al-Isawi},
     title = {On kernels and images of resolving analytic degenerate semigroups in {quasi-Sobolev} spaces},
     journal = {Journal of computational and engineering mathematics},
     pages = {10--19},
     year = {2016},
     volume = {3},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a1/}
}
TY  - JOUR
AU  - J. K. T. Al-Isawi
TI  - On kernels and images of resolving analytic degenerate semigroups in quasi-Sobolev spaces
JO  - Journal of computational and engineering mathematics
PY  - 2016
SP  - 10
EP  - 19
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a1/
LA  - en
ID  - JCEM_2016_3_1_a1
ER  - 
%0 Journal Article
%A J. K. T. Al-Isawi
%T On kernels and images of resolving analytic degenerate semigroups in quasi-Sobolev spaces
%J Journal of computational and engineering mathematics
%D 2016
%P 10-19
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a1/
%G en
%F JCEM_2016_3_1_a1
J. K. T. Al-Isawi. On kernels and images of resolving analytic degenerate semigroups in quasi-Sobolev spaces. Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 10-19. http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a1/

[1] G. A. Sviridyuk, “K obschei teorii polugrupp operatorov”, Uspekhi mat. nauk, 49:4(298) (1994), 47–74 | MR | Zbl

[2] G. A. Sviridyuk, V. E. Fedorov, Linear Sobolev Type Equations and Degenerate Semigroups of Operators, VSP, Utrecht, Boston, 2003 | MR | Zbl

[3] V. E. Fedorov, “Holomorphic Resolving Semigroups for Sobolev-Type Equations in Locally Convex Spaces”, Sbornik: Mathematics, 195:8 (2004), 131-160 | DOI | MR | Zbl

[4] A. A. Zamyshlyaeva, Lineinye uravneniya sobolevskogo tipa vyskogo poryadka, Izdat. tsentr YuUrGU, Chelyabinsk, 2012 | MR

[5] N. A. Manakova, Zadachi optimalnogo upravleniya dlya polulineinykh uravnenii sobolevskogo tipa, Izdat. tsentr YuUrGU, Chelyabinsk, 2012 | MR

[6] M. A. Sagadeeva, Dikhotomii reshenii lineinykh uravnenii sobolevskogo tipa, Izdat. tsentr YuUrGU, Chelyabinsk, 2012 | MR

[7] A. A. Zamyshlyaeva, Dzh. K. Al-Isavi, “Golomorfnye vyrozhdennye polugruppy operatorov i evolyutsionnye uravneniya sobolevskogo tipa v kvazisobolevykh prostranstvakh posledovatelnostei”, Vestnik YuUrGU. Seriya: Matematika. Mekhanika. Fizika, 7:4 (2015), 27-36 | MR

[8] A. V. Keller, Dzh. K. Al-Isavi, “Golomorfnye vyrozhdennye gruppy operatorov v kvazibanakhovykh prostranstvakh”, Vestnik YuUrGU. Seriya: Matematika. Mekhanika. Fizika, 7:1 (2015), 20-27 | Zbl