Czechoslovak Journal of Physics B

, Volume 35, Issue 5, pp 490–493 | Cite as

The inverse problem for diffusion equations

  • J. Kvasnica


In the standard procedure one has to find the concentration from given initial (and boundary) conditions. We investigate here an inverse problem: to find the initial concentration from the known resulting concentration. This problem is of importance particularly for non-linear diffusion equations where the concentration dependenceD ≡ D(c) of the diffusion coefficient is analysed in terms of the Boltzmann-like solutionc ≡ f(xt−1/2). This type of solution is, however, closely related to a very special initial condition for the concentration. The disregard of this fact might lead to misleading analysis ofD(c).


Diffusion Coefficient Standard Procedure Inverse Problem Diffusion Equation Concentration dependenceD 
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Copyright information

© Academia, Publishing House of the Czechoslovak Academy of Sciences 1985

Authors and Affiliations

  • J. Kvasnica
    • 1
  1. 1.Department of Mathematical PhysicsCharles UniversityPraha 8Czechoslovakia

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