Titlebook: Elliptic Boundary Value Problems in the Spaces of Distributions; Yakov Roitberg Book 1996 Springer Science+Business Media Dordrecht 1996 B

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978-94-010-6276-3Springer Science+Business Media Dordrecht 1996

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Overview: 978-94-010-6276-3978-94-011-5410-9

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Elliptic Problems with Normal Boundary Conditions,ction 1.10). Below, we consider only special local coordinates defined in a sufficiently small neighborhood .(..) of every point .. ∈ ∂.. If (.′,…, .′.) is any other system of special coordinates in G ∩ ., then, in . ∩ . ∩) G, we have . and the determinant of the Jacobi matrix det .′/. of this transformation is not equal to zero.

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Construction of a Regular Heptadecagon,o [Agm], [AgN], and [Som]) as a class of elliptic boundary-value problems with a parameter. In the papers mentioned above, elliptic boundary-value problems with a parameter were studied in classes of sufficiently smooth functions. In [Roi18]-[Roi20], [RoS1], and [RoS2], these problems were investigated in spaces of generalized functions.

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Estimation in Parametric Models, function in G such that .(.) = 1 for dist (.,∂.)≤ε and .(.) = 0 for dist(.,∂.)≥ 2ε (ε > 0 is a sufficiently small number), then the rth-order expression . satisfies condition (6.1.4) but is not elliptic at any point of ∂..

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https://doi.org/10.1007/978-90-481-3747-3 Thus, even in the case where the defect of problem (7.1.3) is equal to zero ., the problem with power singularities on the right-hand sides admits numerous solutions. To choose a unique solution, it is necessary to impose additional restrictions.