대한수학회지 (Journal of the Korean Mathematical Society)

  • 제42권6호
  • /
  • Pages.1311-1322
  • /
  • 2005
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

CORNER SINGULARITY AT THE MULTIPLE JUNCTION OF THE ELECTRIC TRANSMISSION

  • 발행 : 2005.11.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We consider the several plane sector domains which are bonded together along common edges with vertex at the origin. Such domains appear in electric conducting problem with multi-layered heterogeneous media. Our aim is to give a structure theorem of the singularities of the electric field at the corner. Also, we provide a regularity theorem for the electric field.

키워드

참고문헌

  1. M. Costabel and M. Dauge, Singularities of electromagnetic Fields in Polyhedral Domains, Arch. Ration. Mech. Anal. 151 (2000), 221-276 https://doi.org/10.1007/s002050050197
  2. M. Dauge, Elliptic boundary value problems on corner domains, Lecture Notes in Math. no. 1341, 1988
  3. P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, 1985
  4. V. A. Kondrat'ev, Boundary problem for elliptic equations in domains with conical or angular points, Trudy Moscovkogo Mat. Obschetsva and Transactions Moscow. Mat. Soc. 227-313, 16 (1967), 209-292
  5. Y. Lungan, Interface Problem for elliptic Differential Equations, Chinese Ann. Math. 18B (1997), no. 2, 53-76
  6. Fernando Reitich, Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions, Numer. Math. 59 (1991), 179-216 https://doi.org/10.1007/BF01385776

피인용 문헌

  1. Advanced Finite-Element Method Employing a Singularity Function for Triple Junction Problems vol.45, pp.3, 2009, https://doi.org/10.1109/TMAG.2009.2012619