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Titlebook: Differential Equations on Manifolds and Mathematical Physics; Dedicated to the Mem Vladimir M. Manuilov,Alexander S. Mishchenko,Weipi Book

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Trends in Mathematicshttp://image.papertrans.cn/d/image/278695.jpg
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Laboratory Studies of Rydberg AtomsWe construct a double asymptotic expansion of the resolving operator for the linearized equations of gas dynamics. We also describe the asymptotics of the solution of the Cauchy problem with localized initial data.
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Incoherent Scatter Radar (ISR) SystemsWe study boundary value problems for the wave equation with conditions on the entire boundary and obtain sufficient conditions for the Fredholm solvability of the problem in suitable function spaces. It turns out that these conditions depend on the properties of the geodesic flow.
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Incoherent Scatter Radar (ISR) SystemsWe consider first order elliptic differential operators acting on sections of smooth vector bundles over compact manifolds and study certain invariants derived from the analysis of these operators, namely, the eta invariant (in the case of self-adjoint operators) and the index.
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O-Ton-Bericht/Bericht mit EinblendungenAnisotropic second-order elliptic equations with variable exponents of the nonlinearities and with right-hand side being a diffuse measure are considered in the space R.. The existence of an entropy solution in anisotropic Sobolev–Orlicz spaces with variable exponents is proved. This entropy solution is shown to be a renormalized solution.
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