The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts | Zendy

Krutitskii P. A. | Zendy

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The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts

Author(s) -

Krutitskii P. A.

Publication year - 1997

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.19970771202

Subject(s) - helmholtz equation , dirichlet problem , dissipative system , mathematics , fredholm integral equation , mathematical analysis , domain (mathematical analysis) , dirichlet distribution , plane (geometry) , dirichlet integral , dirichlet's principle , integral equation , physics , boundary value problem , geometry , quantum mechanics

The Dirichlet problem for the dissipative Helmholtz equation in a connected plane region with cuts is studied. The existence of a classical solution is proved by potential theory. The problem is reduced to a Fredholm equation of second kind, which is uniquely solvable.

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