Accession Number:

ADA036084

Title:

Conformal Mappings and Boundary Value Problems.

Descriptive Note:

Final technical rept. Jul 75-Oct 76,

Corporate Author:

TEL-AVIV UNIV (ISRAEL)

Personal Author(s):

Report Date:

1976-10-01

Pagination or Media Count:

28.0

Abstract:

Three principal areas of investigation are as follows 1 Kernel functions and related areas, Results have been obtained on polynomial density in Bers Spaces, Berman Spaces over multiply-connected domains, Total Positively and reproducing kernels, Szego kernels and the Riesz projection theorem and Metric on Annuli 2 BVP Boundary Value Problems, and IVP Initial Value Problems, Study has been undertaken of transforming BVP into IVP. In particular, a method whereby a well-posed elliptic boundary-value problem of the Dirichlet type is transformed into a first-order non-linear equation governing the Greens function of an embedded problem is studied and 3 Singularities, The study of smoothings of analytic singularities is discussed. In particular, generalized complete intersections and their spaces of deformations are analyzed.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE