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

• Autore: Chatzakou Marianna
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (412 pages)
• Disciplina: 515.625; 515.75
• Soggetto topico: Difference equations; Functional equations; Mathematical analysis; Functional analysis; Difference and Functional Equations; Integral Transforms and Operational Calculus; Functional Analysis
• Altri autori: RuzhanskyM (Michael) Van BockstalKarel
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Direct and Inverse Problems with Applications
• ISBN: 3-031-98645-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911049208603321
• Lo trovi qui: Univ. Federico II
• Serie: Research Perspectives Ghent Analysis and PDE Center, . 2948-1732 ; ; 12