FUNCTION THEORETIC SOLUTIONS OF CERTAIN BOUNDARY-VALUE PROBLEMS
Abstract
The domains of analyticity of solutions of the equation delta u ! k square times u equals 0 in two independent variables are studied with a view to solving boundary-value problems in the large. The boundary value problems are transformed into function theoretic problems. Specifically the Sommerfeld half-plane problem for delta u ! K square times u equals 0 is solved. A related result on integral equations is obtained. Green's functions for a wedge with various boundary conditions are constructed in the case of the equation delta u ! k square times u equals 0. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1961
- Accession Number
- AD0261985
Entities
People
- V.p. Sreedharan
Organizations
- Carnegie Institute of Technology