Geodesic
Conjugation problem for elliptic pseudodifferential equations on the plane
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 10-15

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The conjugation problem for an elliptic pseudodifferential equation on the plane with an angular cut in the Sobolev–Slobodetskii space is considered. In addition to the boundary conditions, integral conditions are posed. Under a specific wave factorization of the symbol of the pseudodifferential operator, we reduce this boundary-value problem to an equivalent system of linear integral equations.
Keywords: pseudodifferential equation, integral condition, wave factorization, solvability, system of linear integral equations.
Mots-clés : conjugation problem 
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     title = {Conjugation problem for elliptic pseudodifferential equations on the plane},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {207},
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V. B. Vasilev (Vasilyev); N. V. Eberlein. Conjugation problem for elliptic pseudodifferential equations on the plane. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 10-15. http://geodesic.mathdoc.fr/item/INTO_2022_207_a1/