On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation
Aylwin
R
author
Jerez-Hanckes
C
author
Pinto
J
author
2020
English
We study the mapping properties of boundary integral operators arising when solving two-dimensional, time-harmonic waves scattered by periodic domains. For domains assumed to be at least Lipschitz regular, we propose a novel explicit representation of Sobolev spaces for quasi-periodic functions that allows for an analysis analogous to that of Helmholtz scattering by bounded objects. Except for Rayleigh-Wood frequencies, continuity and coercivity results are derived to prove wellposedness of the associated first kind boundary integral equations.
Wave scattering
Gratings
Quasi-periodic functions
Boundary integral equations
WOS:000522040900001
exported from refbase (http://ficpubs.uai.cl/show.php?record=1127), last updated on Thu, 09 Apr 2020 13:52:52 +0000
text
10.1007/s00020-020-2572-9
Aylwin_etal2020
Integral Equations And Operator Theory
Integr. Equ. Oper. Theory
2020
Springer Basel Ag
continuing
periodical
academic journal
92
2
41 pp
0378-620x