| 书目名称 | Microlocal Analysis, Sharp Spectral Asymptotics and Applications II | | 副标题 | Functional Methods a | | 编辑 | Victor Ivrii | | 视频video | | | 概述 | Research monograph for researchers and graduate students in Mathematics and Mathematical Physics.Most comprehensive work about the topic.Use of technique, developed by the author during more than 40 y | | 图书封面 |  | | 描述 | .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 local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.. | | 出版日期 | Book 2019 | | 关键词 | Microlocal Analysis; Propagation of Singularities; Sharp Spectral Asymptotics; Schrodinger Operator; Gro | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-30541-3 | | isbn_softcover | 978-3-030-30543-7 | | isbn_ebook | 978-3-030-30541-3 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 16:22:49
