Eigenfunction Expansion

Yuri A. Melnikov ()
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Yuri A. Melnikov: Middle Tennessee State University, Department of Mathematical Sciences Computational Sciences Program

Chapter Chapter 5 in Green's Functions and Infinite Products, 2011, pp 85-120 from Springer

Abstract: Abstract Having departed for a while from the main focus of the book in the previous chapter, where the emphasis was on ordinary differential equations, we are going to return in the present chapter to partial differential equations. The reader will be provided with a comprehensive review of another approach that has been traditionally employed for the construction of Green’s functions for partial differential equations. The method of eigenfunction expansion will be used, representing one of the most productive and recommended methods in the field.

Keywords: Dirichlet Problem; Conformal Mapping; Laplace Equation; Summation Formula; Eigenfunction Expansion (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8280-4_5

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DOI: 10.1007/978-0-8176-8280-4_5

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