Laplace Equation On The Boundary Value Problems
Mathematics Project Topics
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In this project we present basic properties of Laplace’s equation on thernboundary value problems with the tight focus on mean value property. It isrnshown that for the Neumann problem,rnΔ = 0 on Ω × (0 , ∞)rn= ( )rnThe boundary data can’t be prescribed at will. Indeed, it is required to satisfyrnthe compatibility condition,rn( ) = 0rnRegular conditions on the solution u of Δ = 0 are also shown.
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