Accession Number:

AD0261985

Title:

FUNCTION THEORETIC SOLUTIONS OF CERTAIN BOUNDARY-VALUE PROBLEMS

Descriptive Note:

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA

Personal Author(s):

Report Date:

1961-07-01

Pagination or Media Count:

1.0

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. Greens 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE