Spectral asymptotics of pseudodifferential operators with discontinuous symbols

Alexey Derkach, Alexander V. Sobolev

We study discrete spectrum of self-adjoint Weyl pseudodifferential operators with discontinuous symbols of the form $1_{\hat{I}}\text{c◯}\ddot{I}•$ where $1_{\hat{I}}\text{c◯}$ is the indicator of a domain in $Ω\subset…