Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419503 | Journal of Mathematical Analysis and Applications | 2011 | 12 Pages |
Abstract
The present paper deals with an application of the image normalization technique for certain classes of Wiener-Hopf operators (WHOs) associated to ill-posed boundary-transmission value problems. We briefly describe the method of normalization and then apply it to boundary-transmission value problems issued from diffraction problems for a junction of two half-planes, which are relevant in mathematical physics applications. For each boundary-transmission value problem, we analyze the conditions under which the associated operator and the equivalent WHO are not normally solvable, and define the corresponding image normalized operators.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Moura Santos, N.J. Bernardino,