Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UNIQUENESS OF IDENTIFYING THE CONVECTION TERM

  • Cheng, Jin (Department of Mathematics, Fudan University) ;
  • Gen Nakamura (Department of Mathematics, Graduate School of Science, Hokkaido University) ;
  • Erkki Somersalo (Department of Mathematics, Helsinki University of Technology)
  • Published : 2001.07.01
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Abstract

The inverse boundary value problem for the steady state heat equation with convection term is considered in a simply connected bounded domain with smooth boundary. Taking the Dirichlet to Neumann map which maps the temperature on the boundary to the that flux on the boundary as an observation data, the global uniqueness for identifying the convection term from the Dirichlet to Neumann map is proved.

Keywords

References

  1. Determination of convention coeffcients from the Dirichlet to Neumann map in two dimensional case J. Cheng;Y. Yamamoto
  2. Inverse Problems for Partial Differential equations V. Isakov
  3. Uniqueness of recovery of some quasilinear partial differential equations V. Isakov
  4. Math. Ann. v.303 Global identifiability for an inverse problem for the Schrodinger equations in a magnetic field G. Nakamura;Z. Sun;G. Uhlmann
  5. Partial Differential Equations Ⅰ M. Taylor