|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|
|Event||[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.