Transmission problems for the Helmholtz equation

II TRANSMISSION PROBLEMS FOR THE HELMHOLTZ EQUATION (M. Sc. Thesis) ülkü ATEŞ GAZI UNIVERSITY INSTITUTE OF SCIENCE AND TECHNOLOGY June 1997 ABSTRACT In this thesis, Aum(x) + kmum(x) = 0, xeDm, m =1,2 tı1u1(x)-^2U2(x) = f(x) öuı(x) öu2(x) ön dn Ul(x) = 0 :g(x) ?, x eS 'lN w 5ui(x) - ^.-ik1u1(x) = o ön 'P H as R = x -> oo \\*\J the transmission problem is studied In the second section the above transmission problem has been given is defined. In the third section the uniqueness of the solution of the transmission problem is proved. In the fourth section the existence of the solution of the problem is proved. In the fifth and sixth sections a transmission problem in an inhomogeneous medium is defined and uniqueness of the solution of the problem is proved. Science Code Key Words Page Number Aduiser 403.06.01 Scattering problem, acoustic waves 95 Prof. Dr. Ibrahim Ethem ANAR