Speaker(s) | Dmitry Ponomarev INRIA Sophia Antipolis; Steklov Mathematical Institute, Russian Academy of Sciences |
Date | 25 July 2023 – 15:00 to 15:30 |
Venue | INI Seminar Room 1 |
Session Title | On some results concerning approximation by analytic functions and their applications |
Chair | Loredana Lanzani |
Event | [CATW04] Complex analysis: techniques, applications and computations - perspectives in 2023 |
Abstract | Cauchy problems for Laplace and other elliptic PDEs are notoriously ill-posed. In two-dimensional settings, complex analysis provides a fruitful framework for constructive study of such problems. Namely, the theory of spaces of analytic functions and the constrained best-approximation are employed for efficient solution which necessarily involves a regularisation.
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