Geodesic
Finite Dimensional Perturbations of Differential Expressions
Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1082-1104

Voir la notice de l'article provenant de la source Cambridge University Press

Operators in L2, or more generally, Lp spaces, which are generated by differential expressions, have had extensive study. More recently some authors, in particular Krall [3; 4; 5; 6; 7], Kim [2], and Krall and Brown [8], have studied operators which are generated by a differential expression plus an additional term. This additional term is of the nature of a perturbation of the differential expression by an operator with finite dimensional range. However even if the basic operator is specifically of the form of a finite dimensional perturbation of a differential operator, this is not true of the adjoint, since the boundary conditions which arise on the adjoint are not appropriate to the adjoint of the differential operator alone. 
Kemp, R. R. D.; Lee, S. J. Finite Dimensional Perturbations of Differential Expressions. Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1082-1104. doi: 10.4153/CJM-1976-108-4
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