Strongly elliptic operators for a plane wave diffraction problem in Bessel potential spaces.
Invertibility of matrix Wiener--Hopf plus Hankel operators with APW Fourier symbols.
Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations.
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations.
Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
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...
Inversion of matrix convolution type operators with symmetry.
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