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Fundamental solutions and surface distributions
Published online by Cambridge University Press: 20 January 2009
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When studying the solutions of elliptic boundary value problems in a bounded, smoothly bounded domain D⊂Rn we often encounter the formula
where u(x)∈C2(D)∩C′() is a solution of the second order self-adjoint elliptic equation
and denotes differentiation along the inward normal to ∂D at x∈∂D.
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- Copyright © Edinburgh Mathematical Society 1969