Two-phase quadrature domains
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Publication:351363
DOI10.1007/s11854-012-0009-3zbMath1288.31002OpenAlexW2072849302MaRDI QIDQ351363
Tomas Sjödin, Stephen J. Gardiner
Publication date: 11 July 2013
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10197/4029
Related Items (10)
Multi-phase quadrature domains and a related minimization problem ⋮ On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources ⋮ A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold ⋮ On a two-fluid Hele-Shaw problem with an elliptical interface ⋮ Some properties of two-phase quadrature domains ⋮ Partial balayage on Riemannian manifolds ⋮ Exact solutions to a Muskat problem with line distributions of sinks and sources ⋮ Stationary boundary points for a Laplacian growth problem in higher dimensions ⋮ The Shape Control of a Growing Air Bubble in a Hele--Shaw Cell ⋮ Quadrature Domains and Their Two-Phase Counterparts
Cites Work
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- Kato's inequality when \(\Delta u\) is a measure
- The two-phase membrane problem--an intersection-comparison approach to the regularity at branch points
- Finely harmonic functions
- Quadrature domains for harmonic functions
- Properties of some balayage operators, with applications to quadrature domains and moving boundary problems
- Integrability of superharmonic functions in a John domain
- The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
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