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The Dirichlet problem

Thesis (M.A.)--Boston University / The problem of finding the solution to a general eliptic type partial differential equation, when the boundary values are given, is generally referred to as the Dirichlet Problem. In this paper I consider the special eliptic equation of ∇2 J=0 which is Laplace's equation, and I limit myself to the case of two dimensions. Subject to these limitations I discuss five proofs for the existence of a solution to Laplace's equation for arbitrary regions where the boundary values are given. [TRUNCATED]

Identiferoai:union.ndltd.org:bu.edu/oai:open.bu.edu:2144/26084
Date January 1960
CreatorsWyman, Jeffries
PublisherBoston University
Source SetsBoston University
Languageen_US
Detected LanguageEnglish
TypeThesis/Dissertation
RightsBased on investigation of the BU Libraries' staff, this work is free of known copyright restrictions.

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