
Direct and Inverse Problems with Applications
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the development of innovative methods and techniques. The lectures also include broader related topics in mathematical analysis and partial differential equations, offering a comprehensive perspective on current research directions in the field.
More details
Other editions
Additional editions

Persons
Mariana Chatzakou is a postdoctoral researcher at Ghent University, Belgium.
Michael Ruzhansky is a senior full professor of Mathematics at Ghent University in Belgium, and a professor of Mathematics at Queen Mary University of London in the United Kingdom.
Karel Van Bockstal is a postdoctoral researcher at Ghent University, Belgium.
Content
Fourier algebras and homomorphisms.- Dispersion phenomena and applications to evolution equations.- Subriemannian geometry and analysis of hypoelliptic PDE.- Stability results for Sobolev, logarithmic Sobolev, and related inequalities.- Semiconcavity, viscosity solutions and the square distance in Carnot groups.- Direct and inverse nonstationary scattering problems for Dirac-type system.- Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients.- Rigidity results for evolution PDEs on homogeneuos Lie groups.- An overview of dualities in non-commutative harmonic analysis.- Colombeau type extensions, assymptotic scales.- Analytical solutions to the Laplace equation on a hemispherical domain.- Uniform spectral asymptotics for high-contrast periodic media.- Asymptotic mean value formulas for the ??-Laplacian in the Euclidean space and in the Heisenberg Group.- Global solutions for a class of nonlinear evolution equations in supercritical spaces.- An index transform method for solutions of the boundary value problems in a wedge.
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.