# Accession Number:

## ADA046453

# Title:

## Piecewise Continuous Solutions of Pseudoparabolic Equations in Two Space Dimensions.

# Descriptive Note:

## Interim rept.,

# Corporate Author:

## DELAWARE UNIV NEWARK INST FOR MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1977-01-01

# Pagination or Media Count:

## 37.0

# Abstract:

One of the principal boundary value problems in analytic function theory is the so-called Riemann boundary value problem. The simplest version of the problem requires the finding of an analytic function phi in CGamma, where Gamma is a closed smooth contour, and a prescribed Hoelder continuous jump is prescribed for phi across Gamma. The solution of this problem may be given in terms of a Cauchy integral. In generalized analytic, as well as generalized hyperanalytic function theory, a Cauchy-type representation exists, which suggest that the Riemann problem may be solved in a similar way. In the present work several new representations for initial value problems are obtained. An iterative scheme is presented for solving the initial-boundary value problem. These results are of interest for investigating wave motion in anisotropic, nonhomogeneous elastic materials.

# Descriptors:

# Subject Categories:

- Numerical Mathematics