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SUMMARY:On some results concerning approximation by analytic functions and
  their applications - Dmitry Ponomarev (INRIA Sophia Antipolis)
DTSTART:20230725T140000Z
DTEND:20230725T143000Z
UID:TALK202786@talks.cam.ac.uk
DESCRIPTION:Cauchy problems for Laplace and other elliptic PDEs are notori
 ously 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-approximat
 ion are employed for efficient solution which necessarily involves a regul
 arisation.\nWe review some classical results such as Carleman formulas and
  show new developments. Moreover\, we point out some of the applications a
 nd possible extensions.
LOCATION:Seminar Room 1\, Newton Institute
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