Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. (English. Russian original) Zbl 1492.81056 Russ. Math. Surv. 76, No. 5, 745-819 (2021); translation from Usp. Mat. Nauk 76, No. 5, 3-80 (2021). MSC: 81Q20 35L15 35L45 35S10 53D12 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. Math. Surv. 76, No. 5, 745--819 (2021; Zbl 1492.81056); translation from Usp. Mat. Nauk 76, No. 5, 3--80 (2021) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1432.35025 Math. Notes 106, No. 3, 402-411 (2019); translation from Mat. Zametki 106, No. 3, 424-435 (2019). MSC: 35B40 58J40 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Math. Notes 106, No. 3, 402--411 (2019; Zbl 1432.35025); translation from Mat. Zametki 106, No. 3, 424--435 (2019) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1407.35028 Dokl. Math. 97, No. 2, 177-180 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611-615 (2018). MSC: 35B40 53D20 47F05 53D12 35A18 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Dokl. Math. 97, No. 2, 177--180 (2018; Zbl 1407.35028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611--615 (2018) Full Text: DOI
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. New integral representations of the Maslov canonical operator in singular charts. (English. Russian original) Zbl 1369.81033 Izv. Math. 81, No. 2, 286-328 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 53-96 (2017). MSC: 81Q20 53D12 35C20 35S30 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Izv. Math. 81, No. 2, 286--328 (2017; Zbl 1369.81033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 53--96 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. (English. Russian original) Zbl 1345.53083 Dokl. Math. 93, No. 1, 99-102 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 6, 641-644 (2016). Reviewer: Sönke Hansen (Paderborn) MSC: 53D12 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Dokl. Math. 93, No. 1, 99--102 (2016; Zbl 1345.53083); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 6, 641--644 (2016) Full Text: DOI