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Dmitry Ponomarev (INRIA Sophia Antipolis)
Tuesday 25 July 2023, 15:00-15:30
On some results concerning approximation by analytic functions and their applications
â ī¸ Important: CATW04 - Complex analysis: techniques, applications and computations - perspectives in 2023
- đ¤ Speaker: Dmitry Ponomarev (INRIA Sophia Antipolis)
- đ Date & Time: Tuesday 25 July 2023, 15:00 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
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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. We review some classical results such as Carleman formulas and show new developments. Moreover, we point out some of the applications and possible extensions.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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