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2009 / March Volume 4 No.1
Some results on harmonic Boehmians
Published Date
2009 / March
Title
Some results on harmonic Boehmians
Author
Dennis Nemzer
Keyword
Harmonic Boehmian, Laplace equation, Liouville type theotheorem, Poisson equation., Harmonic Boehmian, Laplace equation, Liouville type theorem, Poisson equation
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Pagination
25-34
Abstract
Some classical theorems for harmonic functions, such as Liouville's theorem, are extended to the space of Boehmians. Also, existence and uniqueness theorems for Poisson's equation $\Delta u = F$, with $F$ a Boehmian, are established.
AMS Subject
Classification
44A40, 35D99, 46F99
Received
2008-03-18
Accepted
2008-03-18
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