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Modern Problems in PDEs and Applications Extended Abstracts of the 2023 GAP Center Summer School /

The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. T...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Chatzakou, Marianna (Editor), Restrepo, Joel (Editor), Ruzhansky, Michael (Editor), Torebek, Berikbol (Editor), Van Bockstal, Karel (Editor)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Edition:1st ed. 2024.
Series:Research Perspectives Ghent Analysis and PDE Center, 4
Subjects:
Mathematical analysis.
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Harmonic analysis.
Analysis.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Abstract Harmonic Analysis.
Online Access:https://doi.org/10.1007/978-3-031-56732-2
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Table of Contents:
  • Part I Mini-courses
  • The Hardy constant: a review
  • Some harmonic analysis in a general Gaussian setting
  • Introduction to hypercomplex analysis
  • Some norm bounds for the spectral projections of the Heisenberg sublaplacian
  • Boundary value problems for elliptic operators satisfying Carleson condition
  • An elementary computation of heat trace invariants
  • Can we divide vectors? - Geometric calculus in Science and Engineering
  • Maximal regularity as a tool for partial differential equations
  • Recent existence results for some critical subelliptic problems
  • Introduction to the Analysis on Manifolds with Conical Singularities
  • Elliptic systems of phase transition type
  • Cordes condition, Campanato nearness and beyond
  • Part II Short talks
  • Global hypoellipticity on homogeneous vector bundles: Necessary and sufficient conditions
  • On inverse source problems for space-dependent sources in thermoelasticity
  • Symmetric properties of eigenvalues and eigenfunctions of uniform beams with axial loads
  • Cylindrical and horizontal extensions of critical Sobolev type inequalities and identities
  • Very weak solution of the wave equation for Sturm-Liouville operator
  • Some new multidimensional Cochran-Lee and Hardy type inequalities.

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