Canonical Operator on Punctured Lagrangian Manifolds

被引：5
作者：
Dobrokhotov, S. Yu [1 ]
Nazaikinskii, V. E. [1 ]
Schafarevich, A., I [2 ]
机构：
[1] Ishlinsky Inst Problems Mech RAS, Moscow, Russia
[2] Lomonsov Moscow State Univ, Moscow, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 28卷 / 01期
关键词：
D O I：
10.1134/S1061920821010040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A version of Maslov's canonical operator on Lagrangian manifolds with singularities of special form (the so-called punctured manifolds) is described. These manifolds naturally arise in the construction of asymptotic solutions for a wide class differential and pseudodifferential equations; in particular, for Petrovsky hyperbolic systems or pseudo-differential equations of water waves.
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页码：22 / 36
页数：15
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