1 On some boundary value problems on a strip in thecomplex

نویسنده

  • William Durand
چکیده

The Sommerfeld integral inversion method for the Helmholtz equation in an angular region with diierent boundary values leads to boundary value problems in an innnite strip of the complex plane. We investigate a generic system for such boundary value problems and give existence and uniqueness results with optimal growth estimates on the solution. We also give the solutions of the Dirichlet problem in a strip when the boundary functions grow exponentially.

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تاریخ انتشار 2007