Methusalem Seminars at Ghent Analysis and PDE Center

This volume presents contributions of modern developments in analysis, PDEs and geometric analysis by leading experts, as well as distinguished junior and senior researchers.

The book includes contributions from speakers at the Methusalem Colloquium, Methusalem Junior Seminar, and Geometric Analysis Seminar, all of which were held at the Department of Mathematics, Ghent University from 2023 to 2024. Additionally, it features colloquia and mini-courses delivered by visiting and invited guests.

The book has two main directions:

Global existence result for a semilinear wave equation on quantum tori. - Bergman Spaces on Homogeneous. - Logarithmic convexity of evolution equations and application to inverse problems. - Existence of Least Energy Nodal Solutions for p-Laplace Equations Involving Singularity. - Existence and Uniqueness Theorems for One Class of Hammerstein-Type Nonlinear Integral Equations. - A spatial dependent inverse source problem for a fractional pseudoparabolic equation. - Lp- Lq multipliers for the Weyl transform. - Schatten properties of commutators on twisted crossed product.