MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Quadrature surfaces as free boundaries

Henrik Shahgholian Department of Mathematics, Royal Institute of Technology

TBD mathscidoc:1701.332825

Arkiv for Matematik, 32, (2), 475-492, 1991.11
This paper deals with a free boundary porblem connected with the concept “quadrature surface”. Let Ω⊂$R$^{$n$}be a bounded domain with a$C$^{2}boundary and μ a measure compactly supported in Ω. Then we say ∂Ω is a quadrature surface with respect to μ if the following overdetermined Cauchy problem has a solution. $$\Delta u = - \mu in \Omega ,u = 0 and \frac{{\partial u}}{{\partial v}} = - 1 on \partial \Omega .$$
No keywords uploaded!
[ Download ] [ 2017-01-08 20:35:44 uploaded by arkivadmin ] [ 863 downloads ] [ 0 comments ] [ Cited by 14 ] 
@inproceedings{henrik1991quadrature,
  title={Quadrature surfaces as free boundaries},
  author={Henrik Shahgholian},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203544593510634},
  booktitle={Arkiv for Matematik},
  volume={32},
  number={2},
  pages={475-492},
  year={1991},
}
Henrik Shahgholian. Quadrature surfaces as free boundaries. 1991. Vol. 32. In Arkiv for Matematik. pp.475-492. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203544593510634.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved