On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems

DOI10.1007/s10440-019-00271-3zbMath1448.58003arXiv1904.04246OpenAlexW2963079255WikidataQ127617810 ScholiaQ127617810MaRDI QIDQ2184833

Shang-bin Cui

Publication date: 29 May 2020

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04246

zbMATH Keywords

free boundary problemBanach manifoldmanifold of simple domainsquasi-differentiable structure

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Nonlinear evolution equations (47J35) Differentiability questions for infinite-dimensional manifolds (58B10)

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