Direct and Inverse Problems with Applications

Extended Abstracts of the 2024 GAP Center Summer School

AvMarianna Chatzakou,Michael Ruzhansky

Inbunden, Engelska, 2026

Del 12 i serien Trends in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2026-01-03
Mått:155 x 235 x 19 mm
Vikt:584 g
Format:Inbunden
Språk:Engelska
Serie:Trends in Mathematics
Antal sidor:235
Förlag:Birkhauser Verlag AG
ISBN:9783031986444

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

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 𝑝-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.