Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems
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An analog of Maslov's canonical operator is defined for functions localized in a neighborhood of subsets of positive codimension.
Keywordshyperbolic equation hyperbolic system localized solution Maslov's canonical operator
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This work was supported by the Russian Foundation for Basic Research under grant 17-01-00644 and by the program “Leading Scientific Schools” under grant NSh-6399.2018.1.
- 1.V. E. Nazaikinskii and A. I. Shafarevich, “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,” Dokl. Ross. Akad. Nauk 479 (6), 611–615 (2018) [Dokl. Math. 97 (2), 177–180 (2018)].MathSciNetzbMATHGoogle Scholar