The solution operator of the inhomogeneous Dirichlet problem in the unit ball

DOI10.1090/proc/12723zbMath1335.35026arXiv1406.7089OpenAlexW2279661511MaRDI QIDQ2789861

Djordjije Vujadinović, David Kalaj

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7089

zbMATH Keywords

Möbius transformationsCauchy transformPoisson equationBessel functionNewtonian potential

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (47G10)

Related Items (4)

On Lipschitz continuity of solutions of hyperbolic Poisson's equation ⋮ On a quasilinear Poisson equation in the plane ⋮ Semi-linear equations and quasiconformal mappings ⋮ Spectral asymptotic of the Newtonian potential in \(L^2 (\mathbb{R}^d, d \mu_{\alpha})\)

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