Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091 Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019). MSC: 81Q10 81Q20 33C10 34L40 34E10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 201, No. 3, 1742--1770 (2019; Zbl 1441.81091); translation from Teor. Mat. Fiz. 201, No. 3, 382--414 (2019) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\). (English. Russian original) Zbl 1452.34085 Proc. Steklov Inst. Math. 306, 74-89 (2019); translation from Tr. Mat. Inst. Steklova 306, 83-99 (2019). Reviewer: Fatma Hıra (Atakum) MSC: 34L10 34L15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Proc. Steklov Inst. Math. 306, 74--89 (2019; Zbl 1452.34085); translation from Tr. Mat. Inst. Steklova 306, 83--99 (2019) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. (English. Russian original) Zbl 1426.37049 Math. Notes 105, No. 5, 789-794 (2019); translation from Mat. Zametki 105, No. 5, 792-797 (2019). MSC: 37J35 37J10 34L10 34L20 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 105, No. 5, 789--794 (2019; Zbl 1426.37049); translation from Mat. Zametki 105, No. 5, 792--797 (2019) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient formulas for the Maslov canonical operator near a simple caustic. (English) Zbl 1406.81036 Russ. J. Math. Phys. 25, No. 4, 545-552 (2018). MSC: 81Q20 53D12 34L40 70H15 81-08 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 25, No. 4, 545--552 (2018; Zbl 1406.81036) Full Text: DOI