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＜電子ブック＞
Extended Abstracts 2021/2022 : Methusalem Lectures / edited by Duván Cardona, Joel Restrepo, Michael Ruzhansky
(Research Perspectives Ghent Analysis and PDE Center. ISSN:29481732 ; 3)

版	1st ed. 2024.
出版者	Cham : Springer Nature Switzerland : Imprint: Birkhäuser
出版年	2024
本文言語	英語
大きさ	XI, 268 p. 11 illus., 7 illus. in color : online resource
著者標目	Cardona, Duván editor Restrepo, Joel editor Ruzhansky, Michael editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry, Differential FREE:Analysis FREE:Differential Geometry
一般注記	This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide experts, prominent junior and senior researchers who were invited to be part of the Ghent Analysis & PDE Center Methusalem Seminars from 2021 to 2022. The contributions are from the speakers of the Methusalem Colloquium, Methusalem Junior Seminar and Geometric Analysis Seminar. The volume has two main topics: 1. Analysis and PDEs. The volume presents recent results in fundamental problems for solving partial integro-differential equations in different settings such as Euclidean spaces, manifolds, Banach spaces, and many others. Discussions about the global and local solvability using micro-local and harmonic analysis methods, studies of new techniques and approaches arising from a physical perspective or the mathematical point of view have also been included. Several connected branches arising in this regard are shown. 2. Geometric analysis. The volume presents studies of modern techniques for elliptic and subelliptic PDEs that in recent times have been used to establish new results in differential geometry and differential topology. These topics involve the intrinsic research in microlocal analysis, geometric analysis, and harmonic analysis abroad. Different problems having relevant geometric information for different applications in mathematical physics and other problems of classification have been considered HTTP:URL=https://doi.org/10.1007/978-3-031-48579-4

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