대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권3호
  • /
  • Pages.427-436
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

THE REFLECTION OF SOLUTIONS OF HELMHOLTZ EQUATION AND AN APPLICATION

  • Yun, Ki-Hyun (School of Mathematical Sciences, Seoul National University)
  • 발행 : 2001.07.01
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초록

It is the purpose of this paper to study the reflection of solutions of Helmholtz equation with Neumann boundary data. In detail let u be a solution of Helmholtz equation in the exterior of a ball in R$^3$ with exterior Neumann data ∂(sub)νu = 0 on the boundary of the ball. We prove that u can be extended to R$^3$ except the center of the ball. As a corollary, we prove that a sound hard ball can be identified by the scattering amplitude corresponding to a single incident direction and as single frequency.

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참고문헌

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