Geodesic
Wave Factorization of Elliptic Symbols
Matematičeskie zametki, Tome 68 (2000) no. 5, pp. 653-667.

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

We introduce a definition of the wave factorization of symbols of elliptic pseudodifferential operators and demonstrate applications of the wave factorization to the analysis of pseudodifferential equations in cones. 
@article{MZM_2000_68_5_a2,
     author = {V. B. Vasil'ev},
     title = {Wave {Factorization} of {Elliptic} {Symbols}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {653--667},
     publisher = {mathdoc},
     volume = {68},
     number = {5},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_68_5_a2/}
}
TY  - JOUR
AU  - V. B. Vasil'ev
TI  - Wave Factorization of Elliptic Symbols
JO  - Matematičeskie zametki
PY  - 2000
SP  - 653
EP  - 667
VL  - 68
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2000_68_5_a2/
LA  - ru
ID  - MZM_2000_68_5_a2
ER  - 
%0 Journal Article
%A V. B. Vasil'ev
%T Wave Factorization of Elliptic Symbols
%J Matematičeskie zametki
%D 2000
%P 653-667
%V 68
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2000_68_5_a2/
%G ru
%F MZM_2000_68_5_a2
V. B. Vasil'ev. Wave Factorization of Elliptic Symbols. Matematičeskie zametki, Tome 68 (2000) no. 5, pp. 653-667. http://geodesic.mathdoc.fr/item/MZM_2000_68_5_a2/

[1] Vishik M. I., Eskin G. I., “Uravneniya v svertkakh v ogranichennoi oblasti”, UMN, 20:3 (1965), 89–152 | MR | Zbl

[2] Eskin G. I., Kraevye zadachi dlya ellipticheskikh psevdodifferentsialnykh uravnenii, Nauka, M., 1973

[3] Boutet de Monvel L., “Boundary problems for pseudo-differential equations”, Acta Math., 126:1–2 (1971), 11–51 | MR | Zbl

[4] Rempel Sh., Shultse B.-V., Teoriya indeksa ellipticheskikh kraevykh zadach, Mir, M., 1986 | Zbl

[5] Kondratev V. A., Oleinik O. A., “Kraevye zadachi dlya uravnenii s chastnymi proizvodnymi v negladkikh oblastyakh”, UMN, 38:2 (1983), 3–76 | MR | Zbl

[6] Vladimirov V. S., Metody teorii funktsii mnogikh kompleksnykh peremennykh, Nauka, M., 1964

[7] Vasilev V. B., “Singulyarnye integraly na kompaktnykh mnogoobraziyakh s osobennostyami”, Differents. uravneniya, 29:9 (1993), 1642–1643 | MR | Zbl

[8] Mikhlin S. G., Prössdorf S., Singular Integral Operators, Academie-Verlag, Berlin, 1986

[9] Malgranzh B., “Singulyarnye integralnye operatory i edinstvennost zadachi Koshi”, Matematika. Sb. perevodov, 6:5 (1962), 87–129

[10] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979

[11] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977

[12] Vladimirov V. S., “Zadacha lineinogo sopryazheniya dlya golomorfnykh funktsii”, Izv. AN SSSR. Ser. matem., 29:4 (1965), 807–834 | MR | Zbl

[13] Palamodov V. P., “Obobschennye funktsii i garmonicheskii analiz”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 72, VINITI, M., 1991, 5–134 | MR