Geodesic
Degenerate elliptic pseudodifferential equations of principal type
Sbornik. Mathematics, Tome 11 (1970) no. 4, pp. 539-582 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article studies pseudodifferential operators which are elliptic outside an $(n-1)$-dimensional submanifold $\omega$ of a closed $n$-dimensional manifold $\Gamma$. It is assumed that at those points of the cotangent bundle at which the ellipticity condition is violated the gradient of the determinant of the symbol is nonzero and transversal to $\omega$. On $\omega$ a number of boundary conditions are prescribed, and a number of potential operators with unknown densities are adjoined to the original equation; the normal solvability of this boundary value problem is then established. Bibliography: 21 titles. 
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     title = {Degenerate elliptic pseudodifferential equations of principal type},
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     volume = {11},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_4_a4/}
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G. I. Èskin. Degenerate elliptic pseudodifferential equations of principal type. Sbornik. Mathematics, Tome 11 (1970) no. 4, pp. 539-582. http://geodesic.mathdoc.fr/item/SM_1970_11_4_a4/

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