Accession Number:

ADA063977

Title:

Majorization Formulas for a Biharmonic Function of Two Variables.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Rosser,J. Barkley

Report Date:

1978-08-01

Pagination or Media Count:

22.0

Abstract:

Biharmonic functions are much used in the theory of elastic solids. A problem of long standing has been to produce a formula involving only the boundary conditions which gives a bound for the value of a biharmonic function in the interior of a region. Using results of Miranda, this problem is solved if the region is a circle or rectangle. Author

Descriptors:

• *BIHARMONIC FUNCTIONS
• ELASTIC PROPERTIES
• SOLIDS
• BOUNDARY VALUE PROBLEMS
• FORMULAS(MATHEMATICS)
• DERIVATIVES(MATHEMATICS)

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE