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- W4297842630 abstract "Let $H(x,p)sim H_0(x,p)+hH_1(x,p)+cdots$ be a semi-classical Hamiltonian on $T^*{bf R}^n$, and $Sigma_E={H_0(x,p)=E}$ a non critical energy surface. Consider $f_h$ a semi-classical distribution (the source) microlocalized on a Lagrangian manifold $Lambda$ which intersects cleanly the flow-out $Lambda_+$ of the Hamilton vector field $X_{H_0}$ in $Sigma_E$. Using Maslov canonical operator, we look for a semi-classical distribution $u_h$ satisfying the limiting absorption principle and $H^w(x,hD_x)u_h=f_h$ (semi-classical Green kernel). In this report, we elaborate (still at an early stage) on some results announced in [Doklady Akad. Nauk, Vol. 76, No1, p.1-5, 2017] and provide some examples, in particular from the theory of wave beams." @default.
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- W4297842630 date "2018-07-27" @default.
- W4297842630 modified "2023-09-27" @default.
- W4297842630 title "Semi-classical Green functions" @default.
- W4297842630 doi "https://doi.org/10.48550/arxiv.1808.00047" @default.
- W4297842630 hasPublicationYear "2018" @default.
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