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Author (up) Aylwin, R.; Jerez-Hanckes, C.; Pinto, J. doi  openurl
  Title On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation Type Journal Article
  Year 2020 Publication Integral Equations And Operator Theory Abbreviated Journal Integr. Equ. Oper. Theory  
  Volume 92 Issue 2 Pages 41 pp  
  Keywords Wave scattering; Gratings; Quasi-periodic functions; Boundary integral equations  
  Abstract 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.  
  Address [Aylwin, Ruben; Pinto, Jose] Pontificia Univ Catolica Chile, Dept Elect Engn, Santiago, Chile, Email: rdaylwin@uc.cl;  
  Corporate Author Thesis  
  Publisher Springer Basel Ag Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0378-620x ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000522040900001 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 1127  
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