Extended Abstracts 2021/2022, 2024 Methusalem Lectures Research Perspectives Ghent Analysis and PDE Center Series
Coordonnateurs : Cardona Duván, Restrepo Joel, Ruzhansky Michael
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.Date de parution : 02-2024
Ouvrage de 268 p.
15.5x23.5 cm
Thème d’Extended Abstracts 2021/2022 :
Mots-clés :
Analysis; Harmonic Analysis; Differential Geometric; Regularity; Integro-Differential Operators; Fourier and Spectral Multipliers; PDEs; Differential Topology; Microlocal Analysis; Asymptotic Bahaviour; Spectral Theory; Geometric Analysis; Mathematical Physics; Riemannian Manifolds; Index Theory; Potential Theory; Non-commutative Analysis; Functional Analysis; Fourier Analysis; Wavelets Theory