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Sharp estimates of ...
Sharp estimates of the curvature of some free boundaries in two dimensions
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- Gustafsson, Björn (författare)
- KTH,Matematik
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Sakai, M. (författare)
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(creator_code:org_t)
- 2003
- 2003
- Engelska.
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Ingår i: Annales Academiae Scientiarum Fennicae Mathematica. - 1239-629X .- 1798-2383. ; 28:1, s. 123-142
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- We prove that the Cauchy transform of a positive measure on the interval )-1,1) subset of R in the complex plane maps the exterior of the unit disc onto a domain Omega subset of C which can be written as a union of discs centered on the real axis. This is applied to the obstacle problem, partial balayage, quadrature domains and Hele-Shaw flow moving boundary problems, and we obtain sharp estimates of the curvature of free boundaries appearing in such problems.
Nyckelord
- quadrature domains
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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