Journal of Mathematical Sciences

, Volume 186, Issue 3, pp 352–363 | Cite as

Representations of solutions, coefficients, and symbols of operator of evolution equations and inverse problems

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New presentations of solutions, coefficients, and operator symbols for evolution equations are given. Applications to inverse problems are discussed. In particular, formulas characterizing parameters of ethnical processes are obtained. Bibliography: 10 titles.

Keywords

Inverse Problem Evolution Equation Operator Symbol Inverse Fourier Transform Sobolev Institute 
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References

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    Yu. E. Anikonov, “Constructive methods of studying the inverse problems for evolution equations” [in Russian], Sib. Zh. Ind. Mat. 11, No. 2, 3–20 (2008).MathSciNetMATHGoogle Scholar
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    Yu. E. Anikonov, Formulas in Inverse and Ill-Posed Problems, VSP, Utrecht (1997).MATHGoogle Scholar
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    Yu. E. Anikonov, “Mathematical simulation of ethnic processes” [in Russian], Dokl. Akad. Nauk, Ross. Akad. Nauk 345, No. 1, 7-9 (1995); English transl.: Dokl. Math. 52, No. 3, 322–324 (1995).Google Scholar
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    M. V. Neshchadim, “Dynamical model of the ethnic system. Formulas in direct and inverse problems,” J. Inverse Ill-Posed Probl. 6, No. 6, 605–618 (1998).MathSciNetMATHCrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics SB RASNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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