Solutions to a two-dimensional, Neumann free boundary problem

DOI10.1080/00036811.2018.1489960zbMath1428.35686arXiv1708.09329OpenAlexW2964302305WikidataQ129575488 ScholiaQ129575488MaRDI QIDQ5207780

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Publication date: 13 January 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09329

zbMATH Keywords

free boundary problemselliptic regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items

Two-phase free boundary problems in convex domains

Cites Work

• An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint
• Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
• Stratification of free boundary points for a two-phase variational problem
• Numerical solution of the free-boundary Bernoulli problem using a level set formulation
• Variational approach to shape derivatives
• Neumann Fixed Boundary Regularity for An Elliptic Free Boundary Problem
• Variational problems with two phases and their free boundaries
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Fast Numerical Methods for Bernoulli Free Boundary Problems
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