书目名称 | Functional Calculus of Pseudodifferential Boundary Problems | 编辑 | Gerd Grubb | 视频video | | 丛书名称 | Progress in Mathematics | 图书封面 |  | 描述 | .Pseudodifferential methods are central to the study of partial differential equations, because they permit an "algebraization." A replacement of compositions of operators in n-space by simpler product rules for thier symbols. The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential .boundary values problems. via a resolvent construction. A secondary purposed is to give a complete treatment of the properties of the calculus of pseudodifferential boundary problems with transmission, both the first version by Boutet de Monvel (brought completely up to date in this edition) and in version containing a parameter running in an unbounded set. And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory...In this second edition the author has extended the scope and applicability of the calculus wit original contributions and perspectives developed in the years since the first edition. A main improvement is the inclusion of globally estimated symbols, allowing a treatment of operators on noncompact manifolds. Many proofs have | 出版日期 | Book 1996Latest edition | 关键词 | Algebra; Manifold; calculus; equation; function; partial differential equation; proof; partial differential | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4612-0769-6 | isbn_softcover | 978-1-4612-6895-6 | isbn_ebook | 978-1-4612-0769-6Series ISSN 0743-1643 Series E-ISSN 2296-505X | issn_series | 0743-1643 | copyright | Birkhäuser Boston 1996 |
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