Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case

2020/11/30 by Rozenblum, Grigori, Shargorodsky, Eugene
#35P20 #47G30 (Primary) 58J50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2011.14877

Abstract

In a domain Ω⊂ ℝ^N we consider a selfadjoint operator T=\mathfrakA^*P\mathfrakA , where \mathfrakA is a pseudodifferential operator of order -l=-N/2 and P=Vμ_Σ is a singular signed measure in Ω concentrated on a Lipschitz surface Σ of dimension d

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