Estimates of initial conditions of parabolic equations in via lateral Cauchy data in infinite domains

@inproceedings{Klibanov2006EstimatesOI,
  title={Estimates of initial conditions of parabolic equations in via lateral Cauchy data in infinite domains},
  author={Michael V. Klibanov and A. V. Tikhonravov},
  year={2006}
}
A parabolic equation or inequality in an infinite domain is considered. The lateral Cauchy data for this equation are assumed to be given at an arbitrary smooth lateral surface. An inverse problem of the interest of this paper consists in an estimate of the unknown initial condition via these Cauchy data. 

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References

Publications referenced by this paper.
Showing 1-10 of 15 references

Carleman estimates for second order hyperbolic equations

  • V. G. Romanov
  • Siberian Math. J
  • 2006
Highly Influential
4 Excerpts

Linear and Quasilinear Equations of the Parabolic Type (Providence R.I.: AMS

  • O ALadyzhenskaya, V ASolonnikov, N NUraltceva
  • 1968
Highly Influential
3 Excerpts

Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data Inverse Problems

  • A LadyzhenskayaO, A SolonnikovV, N UraltcevaN
  • 2006

Conditional stability estimates in reconstruction of initial temperatures and boundary values

  • M Yamamoto, J Zou
  • 2005
2 Excerpts

Carleman Estimates For Coefficient Inverse Problems And Numerical Applications (Utrecht, The Netherlands: VSP

  • M VKlibanov, A Timonov
  • 2004
3 Excerpts

Identification of the diffusion coefficient in a onedimensional parabolic equation Inverse Problems

  • V Isakov, S Kindermann
  • 2000

Stability estimates in state-estimation for a heat process

  • D Xu, M Yamamoto
  • Proceedings of the Second ISAAC Congress
  • 2000
2 Excerpts

Controllability of evolution equations Lecture Notes 34 (Seoul, Korea: Seoul

  • V FursikovA, Imanuvilov O Yu
  • 1996

Èmanuilov Controllability of parabolic equations, Sbornik

  • O. Yu
  • 1995
1 Excerpt

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