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Introduction

Let tex2html_wrap_inline223 be a bounded domain in tex2html_wrap_inline225 , tex2html_wrap_inline227 , and let tex2html_wrap_inline229 . Let tex2html_wrap_inline231 be a fixed wave number. For each tex2html_wrap_inline233 let tex2html_wrap_inline235 be the solution to the reduced wave equation

  equation42

such that

displaymath237

where tex2html_wrap_inline239 satisfies Sommerfelds radiation condition. The problem is to recover q from the knowledge of tex2html_wrap_inline235 outside tex2html_wrap_inline223 .



Frank Wuebbeling
Mon Oct 12 08:09:00 MET DST 1998