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024 7 _a10.1007/978-3-031-48579-4
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072 7 _aMAT034000
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245 1 0 _aExtended Abstracts 2021/2022
_h[electronic resource] :
_bMethusalem Lectures /
_cedited by Duván Cardona, Joel Restrepo, Michael Ruzhansky.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXI, 268 p. 11 illus., 7 illus. in color.
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336 _atext
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337 _acomputer
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338 _aonline resource
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490 1 _aResearch Perspectives Ghent Analysis and PDE Center,
_x2948-1732 ;
_v3
520 _aThis 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.
650 0 _aMathematical analysis.
_964178
650 0 _aGeometry, Differential.
_969684
650 1 4 _aAnalysis.
650 2 4 _aDifferential Geometry.
_969686
700 1 _aCardona, Duván.
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700 1 _aRestrepo, Joel.
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700 1 _aRuzhansky, Michael.
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830 0 _aResearch Perspectives Ghent Analysis and PDE Center,
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