Complementary Representations and the Solution of Mixed Boundary-Value Problems in Potential Theory.

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Abstract:

The theory of complementary integral representations of potential functions is developed in cylindrical polar, spherical polar, toroidal and dipolar coordinates. The representations are applied to the solution of various mixed boundary-value problems in potential theory. Author

Author(s):
Shail, R.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Supplementary Note:
Revision of report dated 9 Nov 72.
Pagination:
0058

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1325
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*POTENTIAL THEORY, BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, COMPLEX VARIABLES, ANALYTIC FUNCTIONS, GREENS FUNCTIONS, CAUCHY PROBLEM
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
LAPLACE EQUATION, *MIXED BOUNDARY VALUE PROBLEMS, DIRICHLET INTEGRAL
Report Date:
1973 Feb 01