Abstract:
A uniform asymptotic expansion is found for the integral $\iint_S\nabla^2 u\, dx\,dy$, where $u$ is the solution of the Neumann problem with a delta-function-like derivative on the boundary. A physics application of the result is discussed.
Key words:Laplace equation, asymptotic expansion of an integral related to the Neumann problem, delta-function-like derivative.
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