Majorization Formulas for a Biharmonic Function of Two Variables.

reportActive / Technical Report | Accession Number: ADA063977 | Open PDF

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

Author(s):
Rosser, J. Barkley
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0022

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1874
Contract/Grant Number(s):
DAAG29-75-C-0024
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_1_Force Support; JCA_5.3_Planning; JCA_1.2.3_Educating
Communities of Interest:
Air Platforms
Descriptor(s):
*BIHARMONIC FUNCTIONS, ELASTIC PROPERTIES, SOLIDS, BOUNDARY VALUE PROBLEMS, FORMULAS(MATHEMATICS), DERIVATIVES(MATHEMATICS)
Field(s)/Group(s):
Numerical Mathematics
Report Date:
1978 Aug 01