BOUNDARY INTEGRAL METHODS FOR WEDGE DIFFRACTION PROBLEMS: THE ANGLE 2π/n, DIRICHLET AND NEUMANN CONDITIONS

被引：0
作者：
Ehrhardt, T. [1 ]
Nolasco, A. P. [2 ]
Speck, F. -O [3 ]
机构：
[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
[2] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
[3] Univ Tecn Lisboa, Dept Math, IST, P-1049001 Lisbon, Portugal
来源：
OPERATORS AND MATRICES | 2011年 / 5卷 / 01期
关键词：
Wedge diffraction problem; Helmholtz equation; boundary value problem; half-line potential; pseudodifferential operator; Sommerfeld potential; Rawlins factorization; HELMHOLTZ-EQUATION; FACTORIZATION; SCATTERING; OPERATORS; SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we use analytical methods for boundary integral operators (more precisely, pseudodifferential operators) together with symmetry arguments in order to treat harmonic wave diffraction problems in which the field does not depend on the third variable and the wave incidence is perpendicular. These problems are formulated as two-dimensional, mixed elliptic boundary value problems in a non-rectangular wedge. We solve explicitly a number of reference problems for the Helmholtz equation regarding particular wedge angles, boundary conditions, and space settings, which can be modified and generalized in various ways. The solution of these problems in Sobolev spaces was open for some fifty years.
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页码：1 / 39
页数：39
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