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• W3109538974 startingPage "331" @default.
• W3109538974 abstract "In a domain $Omegasubset mathbb{R}^{mathbf{N}}$ we consider a selfadjoint operator $mathbf{T}=mathfrak{A}^*Pmathfrak{A} ,$ where $mathfrak{A}$ is a pseudodifferential operator of order $-l=-mathbf{N}/2$ and $P=Vmu_{Sigma}$ is a singular signed measure in $Omega$ concentrated on a Lipschitz surface $Sigma$ of dimension $d<mathbf{N}$, absolutely continuous with respect to the surface measure $mu_{Sigma}$ on $Sigma$. We establish eigenvalue estimates and asymptotics for this operator. It turns out that the order of these estimates and asymptotics is independent of the dimension $d$ of the surface. If there are several surfaces, possibly, of different dimensions, as well as an absolute continuous measure on $Omega$ the corresponding asymptotic coefficients add up." @default.
• W3109538974 created "2020-12-07" @default.
• W3109538974 creator A5028682675 @default.
• W3109538974 creator A5043371527 @default.
• W3109538974 date "2020-11-30" @default.
• W3109538974 modified "2023-09-27" @default.
• W3109538974 title "Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case" @default.
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