Very weak solutions of Poisson's equation with singular data under Neumann boundary conditions

DOI10.1007/s00526-014-0730-0zbMath1314.35025OpenAlexW2069864438WikidataQ115387391 ScholiaQ115387391MaRDI QIDQ2017816

Jochen Merker, Jean Michel Rakotoson

Publication date: 23 March 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0730-0

zbMATH Keywords

Poisson's equationNeumann boundary conditionsingular data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)

Related Items (9)

Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ On the Stokes resolvent estimates for cylindrical domains ⋮ Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach ⋮ Generalized grand Lorentz martingale spaces ⋮ Nonlinear boundary value problems relative to harmonic functions ⋮ Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ On the Stokes semigroup in some non-Helmholtz domains ⋮ Linear equation with data in non standard spaces

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