Asymptotic expansion of the solution of the first boundary value problem for the Schrödinger system near conical points of the boundary
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We study the first initial-boundary value problem for the Schrödinger system in a cylindrical domain. It is assumed that the boundary contains a conical point. We obtain an asymptotic expansion of the solution in a neighborhood of such a point.
KeywordsAsymptotic Expansion Elliptic Equation Elliptic Operator Spectral Problem Local Coordinate System
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- 1.Kondrat’ev, V.A., Boundary Value Problems for Elliptic Equations in Domains with Conical or Corner Points, Tr. Mosk. Mat. Obs., 1967, vol. 36, pp. 209–292.Google Scholar
- 3.Nazarov, S.A. and Plamenevskii, B.A., Ellipticheskie kraevye zadachi v oblastyakh s kusochno gladkoi granitsei (Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary), Moscow, 1991.Google Scholar
- 5.Fichera, G., Existence Theorems in Elasticity Theory, Springer-Verlag, 1972.Google Scholar