Pseudo-Differential Operator Helmholtz Equation Boundary-Value Problem Wave Diffraction Hankel Function 35J05 35J25 35C15 47H50 47G30
Issue Date:
2008
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 11, No 1, (2008), 15p-26p
Abstract:
We consider an impedance boundary-value problem for the Helmholtz
equation which models a wave diffraction problem with imperfect conductivity
on a strip. Pseudo-differential operators are used to deal with this
wave diffraction problem. Therefore, single and double layer potentials allow
a reformulation of the problem into a system of integral equations. By
using operator theoretical methods, the well-posedness of the problem is
obtained for a set of impedance parameters, and in a framework of Bessel
potential spaces.
