03652nam a22005295i 4500 978-3-031-48579-4 DE-He213 20251030111449.0 cr nn 008mamaa 240228s2024 sz | s |||| 0|eng d 9783031485794 978-3-031-48579-4 10.1007/978-3-031-48579-4 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Extended Abstracts 2021/2022 [electronic resource] : Methusalem Lectures / edited by Duván Cardona, Joel Restrepo, Michael Ruzhansky. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XI, 268 p. 11 illus., 7 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 3 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. Mathematical analysis. 64178 Geometry, Differential. 69684 Analysis. Differential Geometry. 69686 Cardona, Duván. editor. edt http://id.loc.gov/vocabulary/relators/edt 71933 Restrepo, Joel. editor. edt http://id.loc.gov/vocabulary/relators/edt 71934 Ruzhansky, Michael. editor. (orcid)0000-0003-4789-1982 https://orcid.org/0000-0003-4789-1982 edt http://id.loc.gov/vocabulary/relators/edt 71935 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031485787 Printed edition: 9783031485800 Printed edition: 9783031485817 Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 3 71936 https://doi.org/10.1007/978-3-031-48579-4 ZDB-2-SMA ZDB-2-SXMS 57949 57949