Function theoretic solutions of certain boundary-value problems / V. P. Sreedharan, Carnegie Institute of Technology, Department of Mathematics.

Description

Main Author

Sreedharan, V. P.

Related Names

United States. Air Force.
Carnegie Institute of Technology.

Language(s)

English

Published

Pittsburgh, Pennsylvania : Carnegie Institute of Technology, Department of Mathematics, 1961.

Subjects

Operators(mathematics)
Wedges.
Sound.
Numerical integration.
Integrals.
Inequalities (Mathematics)
Green's functions.
Functions.
Diffraction.
Bessel functions.
Differential equations, Partial.
Integral equations.

Summary

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).

Note

July, 1961.
Technical Report No. 34 prepared under Contract No. AF 49(638)-227; Division File No. 1.17.
Mathematics Division, Air Force Office of Scientific Research.

Physical Description

39, 4 pages ; 28 cm

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