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Original Articles

Diffraction by a union of strips with impedance conditions in Besov and Bessel potential spaces

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Pages 183-194 | Received 06 Aug 2007, Published online: 14 Oct 2010

References

  • Castro , L.P. and Kapanadze , D. 2008 . Dirichlet‐Neumann‐impedance boundary‐value problems arising in rectangular wedge diffraction problems . Proc. Am. Math. Soc. , 136 : 2113 – 2123 .
  • Castro , L.P. and Kapanadze , D. 2008 . The impedance boundary‐value problem of diffraction by a strip . J. Math. Anal. Appl. , 337 : 1031 – 1040 .
  • Colton , D. and Kress , R. 1998 . Inverse Acoustic and Electromagnetic Scattering Theory , Berlin : Springer‐Verlag .
  • Duduchava , R. , Natroshvili , D. and Shargorodsky , E. 1990 . Boundary value problems of the mathematical theory of cracks . Proc. I. Vekua Inst. Appl. Math. (Tbilisi State University) , 39 : 68 – 84 .
  • Duduchava , R. , Natroshvili , D. and Shargorodsky , E. 1995 . “ Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts, I and II ” . In Georgian Math. J. Vol. 2 , 123 – 140 . 259 – 276 .
  • Meister , E. and Speck , F.‐O. 1989 . Modern Wiener‐Hopf methods in diffraction theory . Pitman Res. Notes Math. Ser. , 216 : 130 – 171 .
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  • Vekua , I.N. 1943 . On metaharmonic functions . Trudy Tbilisskogo Matematicheskogo Instituta , 12 : 105 – 174 .
  • This work was supported in part by Unidade de Investigação Matemática e Aplicações of Universidade de Aveiro through the Portuguese Science Foundation (FCT‐Fundação para a Ciência e a Tecnologia).

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