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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  David L. Russell
  Mathematics Department
  Virginia Tech
  Blacksburg, VA 24061-0123
  e-mail: [email protected]

• Download Solution [PDF]
  
  Michael Renardy
  Department of Mathematics
  Virginia Tech
  Blacksburg, VA 24061-0123
  e-mail: [email protected]
  

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