Geodesic
Pseudodifferential operators on a~class of noncompact manifolds
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 45-59

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This paper introduces a new class of pseudodifferential (p.d.) operators acting in spaces of Bessel potentials of section-distributions over a noncompact (in the usual sense) manifold $M$ compactified by a set of points at infinity. Two-sided $L_p$ bounds are given for the factor-norm of a p.d. operator in the subspace of compact operators using the norm of its symbol. Necessary and sufficient conditions are given for the operators to be Noetherian, and well-posed problems are investigated on manifolds of the above structure with noncompact boundary. Bibliography: 18 titles. 
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     author = {V. S. Rabinovich},
     title = {Pseudodifferential operators on a~class of noncompact manifolds},
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V. S. Rabinovich. Pseudodifferential operators on a~class of noncompact manifolds. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 45-59. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a2/