SOME PROBLEMS IN POTENTIAL THEORY.
Abstract
Source functions are of importance themselves and also as a means of generating solutions to a variety of field theory problems. The primitive source function which represents a localized excitation (in space and/or time), without reference to limiting surfaces or environmental features that influence the ultimate level of excitation realized, can be employed collectively, as in Kelvin's image method, to resolve particular problems for restricted domains of space. A more comprehensive description of geometrical shaping factors is afforded by source functions of the Green's type, which satisfy a specific differential equation, have a localized singularity within the domain and obey one or more boundary conditions on the surface thereof; the purpose of this account is to underscore, with reference to a pair of potential theory investigations hitherto undertaken, the advantages of using Green's functions rather than superposing simple source functions or employing direct integral representation and transform techniques. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 28, 1970
- Accession Number
- AD0703665
Entities
People
- Harold Levine
Organizations
- Stanford University