Geodesic
On the index of boundary value problems for degenerate elliptic operators
Sbornik. Mathematics, Tome 16 (1972) no. 4, pp. 615-634 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the method of “gluing” boundary value problems along a boundary is worked out. Using this, the index of some classes of degenerate elliptic operators and problems is calculated. The method is also applied to compute the index of operators with discontinuous coefficients. Bibliography: 7 titles. 
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A. V. Marchenko. On the index of boundary value problems for degenerate elliptic operators. Sbornik. Mathematics, Tome 16 (1972) no. 4, pp. 615-634. http://geodesic.mathdoc.fr/item/SM_1972_16_4_a6/

[1] M. S. Agranovich, “Ellipticheskie singulyarnye integro-differentsialnye operatory”, Uspekhi matem. nauk, XX:5(125) (1965), 3–120 | MR

[2] M F. Atya, Lektsii po $K$-teorii, Mir, Moskva, 1965

[3] L. Boutet de Monvel, Boundary problems for pseudo-differential operators, Preprint, 1969 | MR | Zbl

[4] M. I. Vishik, V. V. Grushin, “Ob odnom klasse vyrozhdayuschikhsya ellipticheskikh uravnenii vysshikh poryadkov”, Matem. sb., 79(121) (1969), 3–36 | Zbl

[5] A. V. Marchenko, “Ob indekse kraevykh zadach dlya vyrozhdayuschikhsya ellipticheskikh operatorov”, Uspekhi matem. nauk, XXVI:6(162) (1971), 247–248

[6] R. T. Sili, “Integro-differentsialnye operatory na vektornykh rassloeniyakh”, Matematika, 11:2 (1967), 57–97

[7] R. T. Sili, “Stepeni ellipticheskogo operatora”, Matematika, 12:1 (1968), 96–112