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Titlebook: Quantization, PDEs, and Geometry; The Interplay of Ana Dorothea Bahns,Wolfram Bauer,Ingo Witt Book 2016 Springer International Publishing S

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书目名称Quantization, PDEs, and Geometry
副标题The Interplay of Ana
编辑Dorothea Bahns,Wolfram Bauer,Ingo Witt
视频video
概述Addresses unsolved problems at the interface between mathematics and physics.Discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemanni
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Quantization, PDEs, and Geometry; The Interplay of Ana Dorothea Bahns,Wolfram Bauer,Ingo Witt Book 2016 Springer International Publishing S
描述.This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen. The authors explain fundamental concepts and ideas and present them clearly. Starting from basic notions, these course notes take the reader to the point of current research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. All contributions are of interest to researchers in the respective fields, but they are also accessible to graduate students..
出版日期Book 2016
关键词Berezin-Toeplitz quantization; compressible Euler equations; global aspects of elliptic PDEs; stability
版次1
doihttps://doi.org/10.1007/978-3-319-22407-7
isbn_softcover978-3-319-79396-2
isbn_ebook978-3-319-22407-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer International Publishing Switzerland 2016
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Quantization, PDEs, and Geometry978-3-319-22407-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
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,Gelfand–Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in ℝ,We present the basic definitions and properties of Gelfand–Shilov spaces and discuss applications to the study of the global analytic-Gevrey regularity and the rate of exponential decay of solutions of large classes of (semi-) linear pseudodifferential equations.
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,An Excursion into Berezin–Toeplitz Quantization and Related Topics,tization methods, discussing various instructive examples like the Segal–Bargmann–Fock space, and culminating by highlights of proofs of the existence of these quantizations using both the Boutet de Monvel theory and the approach via Fefferman’s expansion and Forelli–Rudin construction. The expositi
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Global Attraction to Solitary Waves,esults on stability of solitary waves: Derrick’s theorem on instability of time-independent solutions and the Vakhitov–Kolokolov stability criterion for spectral stability of solitary waves..The main subject of the article is the structure of the (weak) global attractor of finite energy solutions to
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