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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.9 No.1
- 발행연도
- 2005.6
- 수록면
- 63 - 77 (15page)
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초록· 키워드
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The Dirichlet-Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed curves and containing cuts is studied. The Neumann condition is given on the closed curves, while the Dirichlet condition is speci?ed on the cuts. The existence of a classical solution is proved by potential theory. The integral representation of the unique classical solution is obtained. The problem is reduced to the Fredholm equation of the second kind and index zero, which is uniquely solvable. Our results hold for both interior and exterior domains.
목차
ABSTRACT
1. INTRODUCTION
2. FORMULATION OF THE PROBLEM
3. INTEGRAL EQUATIONS AT THE BOUNDARY
4. THE FREDHOLM INTEGRAL EQUATION AND THE SOLUTION OF THE PROBLEM
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014676847