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Development of Maslov’s Approach to the Construction of Nonoscillating WKB-Type Solutions

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Abstract

In this paper, we show how to construct an asymptotic representation of the fundamental solution to the Cauchy problem for degenerate linear parabolic equations.

DOI 10.1134/S1061920821020047

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References

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Acknowledgments

Finally, we would like to emphasize that the above approach arose during very pleasant and useful discussions with our teacher V.P. Maslov and one of the authors keeps these unforgettable discussions in his memory.

Funding

The study was implemented in the framework of the Basic Research Program at the National Research University Higher School of Economics (HSE University) in 2021.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    V. G. Danilov & M. A. Rakhel

Authors
  1. V. G. Danilov
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  2. M. A. Rakhel
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Correspondence to V. G. Danilov or M. A. Rakhel.

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Danilov, V.G., Rakhel, M.A. Development of Maslov’s Approach to the Construction of Nonoscillating WKB-Type Solutions. Russ. J. Math. Phys. 28, 179–187 (2021). https://doi.org/10.1134/S1061920821020047

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  • DOI: https://doi.org/10.1134/S1061920821020047

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