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- W2963695244 abstract "Let ${mathcal M}$ be a smooth compact manifold whose boundary is the total space of a fibration ${mathcal N}to {mathcal Y}$ with compact fibers, let $Eto{mathcal M}$ be a vector bundle. Let begin{equation} A:C_c^infty( overset{,,circ} {mathcal M};E)subset x^{-nu} L^2_b({mathcal M};E)to x^{-nu} L^2_b({mathcal M};E) $ tag*{(†)} end{equation} be a second order elliptic semibounded wedge operator. Under certain mild natural conditions on the indicial and normal families of $A$, the trace bundle of $A$ relative to $nu$ splits as a direct sum ${mathscr T}={mathscr T}_Foplus{mathscr T}_{aF}$ and there is a natural map ${mathfrak P} :C^infty({mathcal Y};{mathscr T}_F)to C^infty( overset{,,circ} {mathcal M};E)$ such that $C^infty_{{mathscr T}_F}({mathcal M};E)={mathfrak P} (C^infty({mathcal Y};{mathscr T}_F)) +dot C^infty({mathcal M};E)subset {mathcal D}_{max}(A)$. It is shown that the closure of $A$ when given the domain $C^infty_{{mathscr T}_F}({mathcal M};E)$ is the Friedrichs extension of (†) and that this extension is a Fredholm operator with compact resolvent. Also given are theorems pertaining the structure of the domain of the extension which completely characterize the regularity of its elements at the boundary." @default.
- W2963695244 created "2019-07-30" @default.
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- W2963695244 date "2018-03-01" @default.
- W2963695244 modified "2023-09-26" @default.
- W2963695244 title "The Friedrichs extension for elliptic wedge operators of second order" @default.
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- W2963695244 doi "https://doi.org/10.34944/dspace/4681" @default.
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