Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications I is written by Victor Ivrii and published by Springer Nature. It's available with International Standard Book Number or ISBN identification 3030305570 (ISBN 10) and 9783030305574 (ISBN 13).

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.