Geodesic
Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points
Sbornik. Mathematics, Tome 15 (1971) no. 2, pp. 261-297 
A. I. Komech. Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points. Sbornik. Mathematics, Tome 15 (1971) no. 2, pp. 261-297. http://geodesic.mathdoc.fr/item/SM_1971_15_2_a5/
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     title = {Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this report there is considered a general boundary value problem for pseudodifferential operators on a manifold whose boundary contains conical points. It is proved that this problem is Noetherian in spaces of functions having singularities of a certain type at the conical points. Figures: 1. Bibliography: 11 titles.

[1] M. S. Agranovich, M. I. Vishik, “Ellipticheskie zadachi s parametrom i parabolicheskie zadachi obschego vida”, Uspekhi matem. nauk, XIX:3(117) (1964), 53–161

[2] M. I. Vishik, G. I. Eskin, “Uravneniya v svertkakh v ogranichennoi oblasti”, Uspekhi matem. nauk, XX:3(123) (1965), 89–152

[3] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, Moskva, 1958 | Zbl

[4] I. Ts. Gokhberg, M. G. Krein, Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, Moskva, 1965 | MR

[5] J. J. Kohn, L. Nirenberg, “An algebra of pseudo-differential operators”, Comm. Pure Appl. Math., 18:1–2 (1965), 269–305 ; Psevdodifferentsialnye operatory, Mir, Moskva, 1967 | DOI | MR | Zbl | MR

[6] V. A. Kondratev, “Kraevye zadachi dlya ellipticheskikh uravnenii v oblasti s konicheskimi ili uglovymi tochkami”, Trudy Mosk. matem. ob-va, 16 (1967), 209–293

[7] B. A. Plamenevskii, M. E. Yudovin, “Uravneniya v svertkakh v konuse”, Matem. sb., 77(119) (1968), 222–250 | MR | Zbl

[8] L. Hörmander, “Pseudo-differential operators”, Comm. Pure Appl. Math., 18:3 (1965), 501–517 ; Psevdodifferentsialnye operatory, Mir, Moskva, 1967 | DOI | MR | Zbl | MR

[9] G. I. Eskin, “Obschie kraevye zadachi dlya uravnenii glavnogo tipa v ploskoi oblasti s uglovymi tochkami”, Uspekhi matem. nauk, XVIII:3(111) (1963), 241–242

[10] S. L. Sobolev, “O smeshannykh zadachakh dlya uravnenii s chastnymi proizvodnymi s dvumya nezavisimymi peremennymi”, DAN SSSR, 122:4 (1958), 555–558 | MR | Zbl

[11] G. E. Shilov, “O granichnykh zadachakh v chetverti ploskosti dlya uravnenii s chastnymi proizvodnymi s postoyannymi koeffitsientami”, Sib. matem. zh., 2:1 (1961), 144–160 | Zbl