Small Modifications of Quadrature Domains

Small Modifications of Quadrature Domains
Author :
Publisher : American Mathematical Soc.
Total Pages : 282
Release :
ISBN-10 : 9780821848104
ISBN-13 : 0821848100
Rating : 4/5 (100 Downloads)

Book Synopsis Small Modifications of Quadrature Domains by : Makoto Sakai

Download or read book Small Modifications of Quadrature Domains written by Makoto Sakai and published by American Mathematical Soc.. This book was released on 2010 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a given plane domain, the author adds a constant multiple of the Dirac measure at a point in the domain and makes a new domain called a quadrature domain. The quadrature domain is characterized as a domain such that the integral of a harmonic and integrable function over the domain equals the integral of the function over the given domain plus the integral of the function with respect to the added measure. The family of quadrature domains can be modeled as the Hele-Shaw flow with a free-boundary problem. The given domain is regarded as the initial domain and the support point of the Dirac measure as the injection point of the flow.


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