|
This article is cited in 16 scientific papers (total in 16 papers)
Functional geometric method for solving free boundary problems for harmonic functions
A. S. Demidovab a M. V. Lomonosov Moscow State University
b Moscow Institute of Physics and Technology
Abstract:
A survey is given of results and approaches for a broad spectrum of free boundary problems for harmonic functions of two variables. The main results are obtained by the functional geometric method. The core of these methods is an interrelated analysis of the functional and geometric characteristics of the problems under consideration and of the corresponding non-linear Riemann–Hilbert problems. An extensive list of open questions is presented.
Bibliography: 124 titles.
Keywords:
free boundaries, harmonic functions.
Received: 11.12.2009
Citation:
A. S. Demidov, “Functional geometric method for solving free boundary problems for harmonic functions”, Russian Math. Surveys, 65:1 (2010), 1–94
Linking options:
https://www.mathnet.ru/eng/rm9341https://doi.org/10.1070/RM2010v065n01ABEH004661 https://www.mathnet.ru/eng/rm/v65/i1/p3
|
|