On some results concerning approximation by analytic functions and their applications

Add to your list(s) Download to your calendar using vCal

• Dmitry Ponomarev (INRIA Sophia Antipolis)
• Tuesday 25 July 2023, 15:00-15:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

CATW04 - Complex analysis: techniques, applications and computations - perspectives in 2023

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.