Mixed Boundary Value Problems for the Helmholtz Equation in a Quadrant

被引：0

作者：

L. P. Castro

F. -O. Speck

F. S. Teixeira

机构：

[1] University of Aveiro,Department of Mathematics

[2] I.S.T.,Department of Mathematics

[3] Technical University of Lisbon,undefined

来源：

Integral Equations and Operator Theory | 2006年 / 56卷

关键词：

Primary 35J25; Secondary 30E25; 47G30; 45E10; 47A53; 47A20; Boundary value problem; Helmholtz equation; half-line potential; pseudodifferential operator; Fredholm property; normalization; diffraction problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The main objective is the study of a class of boundary value problems in weak formulation where two boundary conditions are given on the half-lines bordering the first quadrant that contain impedance data and oblique derivatives. The associated operators are reduced by matricial coupling relations to certain boundary pseudodifferential operators which can be analyzed in detail. Results are: Fredholm criteria, explicit construction of generalized inverses in Bessel potential spaces, eventually after normalization, and regularity results. Particular interest is devoted to the impedance problem and to the oblique derivative problem, as well.

引用

页码：1 / 44

页数：43