Harmonic Functions with Cauchy-Riemann Boundary Data
(Solved)
Summary: The problem is to prove that if $u$ and $v$ are harmonic functions in $\Omega$ satisfying certain smoothness and boundary conditions, then $u + iv$ is analytic.
Classification: Primary, differential equations; Secondary, PDE
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Problem [PDF]
David L. Russell
Mathematics Department
Virginia Tech
Blacksburg, VA 24061-0123
e-mail: [email protected]
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Solution [PDF]
Michael Renardy
Department of Mathematics
Virginia Tech
Blacksburg, VA 24061-0123
e-mail: [email protected]