Geodesic
Generalized solutions of boundary value problems for the Helmholtz equation
Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 38-46

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We prove the existence of generalized solutions of boundary value problems for the Helmholtz equation in Sobolev space. Averaging operators with variable step used in the proof. 
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V. I. Korzyuk; G. Ch. Shushkevich. Generalized solutions of boundary value problems for the Helmholtz equation. Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 38-46. http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a5/