Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
Castro, L.P., Kapanadze, D. (2008)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30 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...