Neumann problem for generalized n-Poisson equation

Using a hierarchy of integral operators having higher-order Neumann functions and their derivatives as kernels, the Neumann problem for a 2 nth order linear partial complex differential equation is discussed. The solvability of the problem is obtained.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2009-09, Vol.357 (2), p.438-446
Main Authors: Aksoy, Ü., Çelebi, A.O.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Higher-order Poisson equation
Integral equations
Logic and foundations
Mathematical analysis
Mathematical logic, foundations, set theory
Mathematics
Neumann problem
Operator theory
Partial differential equations
Recursion theory
Sciences and techniques of general use
Singular integral operators
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Description
Summary:Using a hierarchy of integral operators having higher-order Neumann functions and their derivatives as kernels, the Neumann problem for a 2 nth order linear partial complex differential equation is discussed. The solvability of the problem is obtained.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2009.04.032