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Maslov’s Complex Germ in the Cauchy Problem for a Wave Equation with a Jumping Velocity

Russian Journal of Mathematical Physics volume 29, pages 1–10 (2022)Cite this article

Abstract

Using Maslov’s complex germ in the Cauchy problem for a wave equation, we consider the asymptotics of the solution of the Cauchy problem in which the velocity depends irregularly on a small parameter.

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Funding

This work was supported financially by the Russian Science Foundation (grant no. 21-71-00050).

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Authors and Affiliations

  1. Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  2. Moscow State University, Moscow, Russia

    A. I. Shafarevich

  3. Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia

    A. I. Shafarevich

Authors
  1. A. I. Allilueva
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  2. A. I. Shafarevich
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Correspondence to A. I. Allilueva or A. I. Shafarevich.

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Allilueva, A.I., Shafarevich, A.I. Maslov’s Complex Germ in the Cauchy Problem for a Wave Equation with a Jumping Velocity. Russ. J. Math. Phys. 29, 1–10 (2022). https://doi.org/10.1134/S1061920822010010

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  • DOI: https://doi.org/10.1134/S1061920822010010