Geodesic
Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary
Matematičeskie zametki, Tome 66 (1999) no. 3, pp. 393-400 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{MZM_1999_66_3_a7,
     author = {L. A. Muravei and A. V. Filinovskii},
     title = {Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a~region with noncompact boundary},
     journal = {Matemati\v{c}eskie zametki},
     pages = {393--400},
     year = {1999},
     volume = {66},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a7/}
}
TY  - JOUR
AU  - L. A. Muravei
AU  - A. V. Filinovskii
TI  - Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary
JO  - Matematičeskie zametki
PY  - 1999
SP  - 393
EP  - 400
VL  - 66
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a7/
LA  - ru
ID  - MZM_1999_66_3_a7
ER  - 
%0 Journal Article
%A L. A. Muravei
%A A. V. Filinovskii
%T Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary
%J Matematičeskie zametki
%D 1999
%P 393-400
%V 66
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a7/
%G ru
%F MZM_1999_66_3_a7
L. A. Muravei; A. V. Filinovskii. Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary. Matematičeskie zametki, Tome 66 (1999) no. 3, pp. 393-400. http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a7/

[1] Leontovich M. A., Fok V. A., “Reshenie zadachi o rasprostranenii elektromagnitnykh voln vdol poverkhnosti zemli po metodu parabolicheskogo uravneniya”, ZhETF, 16:7 (1946) | Zbl

[2] Muravei L. A., “Volnovoe uravnenie i uravnenie Gelmgoltsa v neogranichennoi oblasti so zvezdnoi granitsei”, Tr. MIAN, 185, Nauka, M., 1988, 171–180 | MR

[3] Chen G. Q., “Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain”, J. de Math. Pures et Appl., 58:3 (1979), 249–273 | MR | Zbl

[4] Muravei L. A., Filinovskii A. V., “O stabilizatsii reshenii volnovogo uravneniya v oblastyakh s vozmuschennoi zvezdnoi granitsei”, Dokl. RAN, 357:4 (1997), 452–454 | MR | Zbl

[5] Zachmanoglou E. C., “The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions”, Arch. Rath. Mech. Anal., 14:4 (1963), 312–325 | MR | Zbl

[6] Littman W., “A connection between $\alpha $-capacity and $(m,p)$-polarity”, Bull. Amer. Math. Soc., 73:6 (1967), 862–866 | DOI | MR | Zbl

[7] Mazya V. G., Prostranstva S. L. Soboleva, Izd-vo LGU, L., 1985 | Zbl