Selected topics on quadrature domains
2007 (English)In: Physica D: Non-linear phenomena, ISSN 0167-2789, Vol. 235, no 02-jan, 90-100 p.Article in journal (Refereed) Published
This is a selection of facts, old and recent, about quadrature domains. The text, written in the form of a survey, is addressed to non-experts and covers a variety of phenomena related to quadrature domains, such as: the difference between quadrature domains for subharmonic, harmonic and respectively complex analytic functions, geometric properties of the boundary, instability in the reverse Hele-Shaw flow, dependence and nonuniqueness on the quadrature data, interpretation in terms of function theory on Riemann surfaces, a matrix model and a reconstruction algorithm. Also there are some low degree/order examples where computations can be carried out in detail.
Place, publisher, year, edition, pages
2007. Vol. 235, no 02-jan, 90-100 p.
quadrature domain potential, free boundary, Markov moment problem, principal function, hele-shaw flow, dirichlet boundary-problem, 2-dimensional l-problem, integrable structure, moving boundary, 2 dimensions, variational-inequalities, subnormal-operators, extremal solutions, laplacian growth
IdentifiersURN: urn:nbn:se:kth:diva-17107DOI: 10.1016/j.physd.2007.04.015ISI: 000250892200012ScopusID: 2-s2.0-35048895100OAI: oai:DiVA.org:kth-17107DiVA: diva2:335150
QC 201005252010-08-052010-08-05Bibliographically approved