Geodesic
Degenerating elliptic differential and psevdo-differential operators
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 25 (1970) no. 4, pp. 21-50

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The present paper is a survey of some results concerning higher-order elliptic differential operators which degenerate on the boundary of a domain. The principal aspect in the study of such operators is that of investigating the corresponding ordinary equations with parameters which degenerate at a single point. The parametrix for such operators is a degenerating pseudo-differential operator. We investigate the properties of the kernels of these pseudo-differential operators. 
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     author = {M. I. Vishik and V. V. Grushin},
     title = {Degenerating elliptic differential and psevdo-differential operators},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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M. I. Vishik; V. V. Grushin. Degenerating elliptic differential and psevdo-differential operators. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 25 (1970) no. 4, pp. 21-50. http://geodesic.mathdoc.fr/item/RM_1970_25_4_a3/