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Titlebook: Extended Abstracts 2021/2022; Methusalem Lectures Duván Cardona,Joel Restrepo,Michael Ruzhansky Conference proceedings 2024 The Editor(s) (

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发表于 2025-3-21 17:47:44 | 显示全部楼层 |阅读模式
书目名称Extended Abstracts 2021/2022
副标题Methusalem Lectures
编辑Duván Cardona,Joel Restrepo,Michael Ruzhansky
视频video
概述High quality short research announcements, communications or summaries.Provide the most recent results and trends by some leading experts in analysis, PDEs and geometric analysis.Serve as a platform f
丛书名称Trends in Mathematics
图书封面Titlebook: Extended Abstracts 2021/2022; Methusalem Lectures Duván Cardona,Joel Restrepo,Michael Ruzhansky Conference proceedings 2024 The Editor(s) (
描述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
出版日期Conference proceedings 2024
关键词Analysis; Harmonic Analysis; Differential Geometric; Regularity; Integro-Differential Operators; Fourier
版次1
doihttps://doi.org/10.1007/978-3-031-48579-4
isbn_softcover978-3-031-48581-7
isbn_ebook978-3-031-48579-4Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:56:44 | 显示全部楼层
Singular Value Decomposition for the X-Ray Transforms on the Reduced Heisenberg Group, and a Two-Radngular values, we obtain a two-radius theorem for integrals over sub-Riemannian geodesics. We also state intertwining properties of distinguished differential operators. We conclude with a description of ongoing work.
发表于 2025-3-22 03:37:01 | 显示全部楼层
A Variational Approach to the Hot Spots Conjecturefor the eigenvalues of the Laplacians with Neumann and Dirichlet boundary conditions on bounded, simply connected planar domains. This principle can be used to provide simple proofs of some previously known results on the hot spots conjecture.
发表于 2025-3-22 05:50:52 | 显示全部楼层
Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operatorsying a cancellation condition . These estimates unify existing endpoint Sobolev inequalities for the gradient of scalar functions (Gagliardo and Nirenberg), the deformation operator (Korn–Sobolev inequality by M.J. Strauss) and the Hodge complex (Bourgain and Brezis). Their proof is based on the fac
发表于 2025-3-22 12:24:09 | 显示全部楼层
Remark on the Ill-Posedness for KdV-Burgers Equation in Fourier Amalgam Spaces . recovers the result in Molinet and Ribaud (Int. Math. Res. Not. 2002:1979–2005 (2002)). The result is new even in Fourier Lebesgue space . which corresponds to the case . and in modulation space . which corresponds to the case ..
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Laplace-Beltrami Equation on Lipschitz Hypersurfaces in the Generic Bessel Potential Spacestion on a hypersurface . with Lipschitz boundary ., containing a finite number of angular points (nodes) . of magnitude ., .. The Dirichlet, Neumann and mixed type BVPs are considered in a non-classical setting when solutions are sought in the generic Bessel potential spaces (GBPS) ., ., . with weig
发表于 2025-3-22 21:45:37 | 显示全部楼层
Asymptotics of Harmonic Functions in the Absence of Monotonicity Formulasaled Dirichlet energies, and use it to study the renormalized solution—the Almgren’s blowup. However, such monotonicity formulas require strong smoothness assumptions on domains and operators. We are interested in the cases when monotonicity formulas are not available, including variable coefficient
发表于 2025-3-23 04:07:27 | 显示全部楼层
Semiregular Non-commutative Harmonic Oscillators: Some Spectral Asymptotic Propertiesummings model. More in detail, the research deals with spectral Weyl asymptotics for a semiregular system, extending to the vector-valued case results of Helffer and Robert, and more recently of Doll, Gannot and Wunsch.
发表于 2025-3-23 06:12:01 | 显示全部楼层
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