On the squeezing function for finitely connected planar domains
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Annalen"
DOI: 10.1007/s00208-021-02296-2
Abstract: In a recent paper, Ng, Tang and Tsai (Math. Ann. 2020) have found an explicit formula for the squeezing function of an annulus via the Loewner differential equation. Their result has led them to conjecture… read more here.
Keywords: planar domains; finitely connected; function finitely; function ... See more keywords
Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains
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DOI: 10.1007/s10915-017-0449-0
Abstract: We develop and analyze $$P_k$$Pk Lagrange finite element methods for a quad-curl problem on planar domains that is based on the Hodge decomposition of divergence-free vector fields. Numerical results that illustrate the performance of the… read more here.
Keywords: planar domains; hodge decomposition; methods quad; curl problem ... See more keywords
Polyanalytic boundary value problems for planar domains with harmonic Green function
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DOI: 10.1007/s13324-021-00569-2
Abstract: There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann type. These problems are investigated… read more here.
Keywords: planar domains; problem; domains harmonic; boundary value ... See more keywords