Geodesic
Existence of boundary values of solutions of elliptic equations in a strip
Sbornik. Mathematics, Tome 203 (2012) no. 1, pp. 60-74 Cet article a éte moissonné depuis la source Math-Net.Ru

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Given a linear constant-coefficient elliptic equation of arbitrary order on a two-dimensional strip, a criterion is obtained for the existence of the mean-square limits of its solutions on the boundary of the strip. Bibliography: 2 titles.
Keywords: boundary value, Hilbert space, projection operator.
Mots-clés : elliptic equation 
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V. P. Mikhailov. Existence of boundary values of solutions of elliptic equations in a strip. Sbornik. Mathematics, Tome 203 (2012) no. 1, pp. 60-74. http://geodesic.mathdoc.fr/item/SM_2012_203_1_a2/

[1] V. P. Mikhailov, “O suschestvovanii granichnykh znachenii u reshenii ellipticheskogo uravneniya v polose”, Dokl. RAN, 427:2 (2009), 165–167 | MR

[2] V. P. Mikhailov, “Existence of boundary values for metaharmonic functions”, Sb. Math., 190:10 (1999), 1417–1448 | DOI | MR | Zbl