On the existence and uniqueness of \(R_v\)-generalized solution for Dirichlet problem with singularity on all boundary

DOI10.1155/2014/568726zbMath1474.35331OpenAlexW2006890232WikidataQ59039513 ScholiaQ59039513MaRDI QIDQ1724406

E. I. Rukavishnikova, Victor Anatolievich Rukavishnikov

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/568726

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• The finite element method for a boundary value problem with strong singularity
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Time-dependent Maxwell's equations with charges in singular geometries
• Coercive estimate for a boundary value problem with noncoordinated degeneration of the data
• On the coercivity of the \(R_{v}\)-generalized solution of the first boundary value problem with coordinated degeneration of the input data
• Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM
• Methods of numerical analysis for boundary value problems with strong singularity
• On the finite element method for elliptic problems with degenerate and singular coefficients
• EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS
• On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space

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