Poisson's equation and generalized functions
by Dennis Nemzer  

Vol. 5 No. 2 (2010) P.225~P.232

ABSTRACT

Solutions of Poisson's equation in the space of Boehmians are investigated. In particular, given that the forcing function is a Boehmian with compact support, necessary and sufficient con- ditions are established for Poisson's equation to have a solution with compact support.

KEYWORDS
Boehmian, compact support, distribution, Poisson equation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35D99, 44A40, 46F99

MILESTONES

Received: 2008-11-25
Revised : 2009-06-02
Accepted: 2009-06-02

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