# Accession Number:

## AD0748310

# Title:

## Bounds for the Change in the Solutions of Second Order Elliptic Partial Differential Equation's When the Boundary is Perturbed,

# Descriptive Note:

# Corporate Author:

## EG AND G INC LAS VEGAS NEV

# Personal Author(s):

# Report Date:

## 1971-10-05

# Pagination or Media Count:

## 21.0

# Abstract:

Let omega be a smooth bounded subset of R sup N and L be a uniformly elliptic second order differential operator with smooth coefficients. The author obtains a bound for the difference between the solution, u, to the equation Lu f in omega with the Dirichlet boundary conditions u 0 on boundary omega, and the solution, u prime, to corresponding boundary value problem on a non-smooth domain omega prime which appriximates omega. The magnitude of the bound depends only on the Euclidean distance between the domains omega and omega prime. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics