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Direct and Inverse Problems with Applications : Extended Abstracts of the 2024 GAP Center Summer School / edited by Marianna Chatzakou, Michael Ruzhansky, Karel Van Bockstal.

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Chatzakou, Marianna.
Contributor:
Ruzhansky, M. (Michael)
Van Bockstal, Karel.
Series:
Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 12
Language:
English
Subjects (All):
Difference equations.
Functional equations.
Mathematical analysis.
Functional analysis.
Difference and Functional Equations.
Integral Transforms and Operational Calculus.
Functional Analysis.
Local Subjects:
Difference and Functional Equations.
Integral Transforms and Operational Calculus.
Functional Analysis.
Physical Description:
1 online resource (412 pages)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Summary:
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.
Contents:
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.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-98645-8
9783031986451
OCLC:
1572220996

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