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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Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems, 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.

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Elliptic Problems with Normal Boundary Conditions, Let .. ∈ ∂. and let . =.(..) be a sufficiently small neighborhood of the point .. in ℝ.. In ., we introduce a system of special local coordinates (.., …, ..) such that (..,…, ..,0) = (.′, 0) is a system of local coordinates in ∂.∩ . and .. is equal to the distance between the point y and ∂. (see Se

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Traces of Generalized Solutions of Elliptic Equations on the Boundary of a Domain, the characteristic polynomial (principal symbol) of the expression .. In this chapter, we always assume that the boundary ∈. never has the characteristic direction of the expression .. This means that ., where .(.) is the unit vector directed along the internal normal to ∈.at the point JC. It is cl

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Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems, power singularities in the vicinities of manifolds of various dimensionalities. In our investigation, we use the following procedure: The function .(.) is replaced by its regularization ., i.e., by a certain element of the space . with some . <0. As a result, we arrive at a situation already encoun

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Elliptic Boundary Value Problems in the Spaces of Distributions

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Elliptic Boundary Value Problems in the Spaces of Distributions978-94-011-5410-9

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Book 2015s facing adolescents and adults with complex congenital anomalies of the genitourinary system.  It provides a valuable resource to pediatricians and pediatric urologists facing urological management issues beyond their expertise in their aging patients as well as technical guidance to adult urologis

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Conference proceedings 2024cluded in this book were carefully reviewed and selected from 21 submissions. They focus on trustworthy artificial intelligence, healthcare, generalization, explainability, fairness, privacy, multi-modal fusion, foundation models... .