Allilueva, A. I.; Shafarevich, A. I. Maslov’s complex germ in the Cauchy problem for a wave equation with a jumping velocity. (English) Zbl 1490.35510 Russ. J. Math. Phys. 29, No. 1, 1-10 (2022). MSC: 35Q99 35P25 35C20 35L15 35K15 PDFBibTeX XMLCite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 29, No. 1, 1--10 (2022; Zbl 1490.35510) Full Text: DOI
Allilueva, A. I.; Shafarevich, A. I. Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. (English) Zbl 1468.35033 Russ. J. Math. Phys. 28, No. 2, 137-146 (2021). MSC: 35C20 35C10 35L15 PDFBibTeX XMLCite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 28, No. 2, 137--146 (2021; Zbl 1468.35033) Full Text: DOI
Allilueva, A. I.; Shafarevich, A. I. Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. (English) Zbl 1441.35150 Russ. J. Math. Phys. 27, No. 2, 145-154 (2020). MSC: 35L15 35B27 PDFBibTeX XMLCite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 27, No. 2, 145--154 (2020; Zbl 1441.35150) Full Text: DOI